Synergetics Dictionary — T
1638 cards
T
← Syte (Symmetrical Tetrahedron) (2) | T Module →
Letter Group Divider

T Module
RBF Definitions
"The triacontrahedron displays the sixty-degreeness plus the ninety-degreeness of its minimum spherical excess resulting from its self-divisioning, its self-halvings.
"The T Module is folded out of a square of which the edge is a vector of mass x velocity to the second power. But since second-powcring means using the triangle and not the square, it means that I have to rewrite Einstein's equation to become E = 2f².
"This simplifies Einstein: You don't have to say mass, you just say vector--which gets you out of the three-dimensional frame in which he wrote the equation. . . . The speed of light is normal--it's speed all right, but we have unit vector, that's what the vector equilibrium is... the spherical!"

T Module
← T Module | T Quanta Module (1) →
Index Entry
T Module:
"The T Module can be folded out of one whole triangle—the total area is a square... the four-foldability comes out as a square: a visual model of E = Mc².
"The vertexes are the tunings and the edges are the central angles.
"The tetrakaidecahedron results from the truncation of the four-frequency vector equilibrium.
"With the T Modules at Ultra Limit
-- the A & B Modules at Minimum Limit
-- Divide VE x 8 and the number is 24."
- Cite EJA notes from RBF patter with models and at blackboard during World Game Workshop presentation, Phila., PA; 21 Jun'77

T Quanta Module (1)
← T Module | T Quanta Module (2) →
Index Entry
T Quanta Module:
"The T Quanta Module is the electron in conceptual form. It manifests itself as the tetrahedra formed by the sphere center and the 120 faces of the triacontrahedron.
"The T Quanta Module is unfoldable as a square with the unit vector radius--the prime vector--as its edge. The face of the T Quanta Module is the small triangular corner of the unfolded cube and is identical with the Basic Disequilibrium 120 LCD Spherical Triangle. That small basic triangle corner makes up part of the value c², but it has to be unhinged and reoriented, it has to cut itself off--at which point its its surface angles plunge down congruently into the central angles of the 120 tetrahedra of the triacontrahedron.
"The acute vertex of the T Quanta Module is at sphere center. This is what I was trying to draw /at midnight on 21 Sep'73; see Fig. 5417 in the picture of spherical photon packages as tetrahedra.
"With the T Quanta Module the Einstein Formula E = mc² becomes visual. The unfoldability had to be square for the c². It shows how the electron is radiation, a model of matter turning itself around at the center, but it has to unhinge and
- Cite RBF to EJA, 3200 Idaho, Wash DC; 12 May'77

T Quanta Module (2)
← T Quanta Module (1) | T Module T Quanta Modula (1) →
Index Entry
T Quanta Module:
"cut off from its total self to plunge back down into the center and make the model of radiation.
"Now what we need to know is the ratio of that Basic Triangle corner to the rest of the unfolded square."

T Module T Quanta Modula (1)
← T Quanta Module (2) | T Module: T Quanta Module (2) →
Cross Reference
Cross-References

T Module: T Quanta Module (2)
← T Module T Quanta Modula (1) | Tables →
Cross Reference
Cross-References
- Triacontrahedron as Limit Regular Polyhedron, 13 Apr'77
- Triacontrahedron, 13 May'77
- Electron, 12 May'77
- Min-max Limits, 8 Aug'77
- Trigonometry, 26 Sep'77

Tables
← T Module: T Quanta Module (2) | Tactical Information →
Cross Reference
Table: Tables:
Curves & Trendings
Cross-References

Tactical Information
← Tables | Tactical Information →
Index Entry
Tactical Information:
"Probably our most polluted resource is that of the tactical information to which humanity spontaneously reflexes."
- Cite NEHRU SPEECH, P. .37 13 Nov'69

Tactical Information
← Tactical Information | Tactile →
Cross Reference
Cross-References
- News, 25 Jul'72

Tactile
← Tactical Information | Tactile →
RBF Definitions
Tactile: preponderantly sensing the crystalline and triple-bonded atom and molecule state, which includes all the exclusively infraoptical frequency ranges of the electromagnetic spectrum's human receptivity from cold 'solids' through to the limit degrees of heat which are safely (i.e., nonburningly) touchable by human flesh." - Cite SYNERGETICS 2 draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/100-synergy#section-100.020100.020, 22 Feb'77

Tactile
Index Entry
Tactile:
"The tactile is very unreliable; it has little meaning."
- Citation and context at Thinkable You (2), 22 Nov'73

Tactile
Index Entry
Tactile:
"The real emphasis of judgement of life is on the tactile, the thing you can touch. . . . Reflect on some of the things it does, like making you want to get your hands on the money or the real estate, whatever it is."
- Cite Oregon Lecture #3, p. 95. 5 Jul'62

Tactile
← Tactile | Tactile: The Tactile Sense →
Index Entry
Tactile:
"... What we call dead is strictly a tactile thing. I put the touchable thing in the ground but I can't put the thinkable you in the ground. ... The tactile is a very unreliable thing. It has very, very little meaning."
-
Cite Oregon Lecture #3, pp. 99-100, 5 Jul'62
-
Citation and context at 'Thinkable You, 5 Jul'62

Tactile: The Tactile Sense
← Tactile | Tactile Sequence (1) →
Index Entry
Tactile: The Tactile Sense:
"Because the human's tactile sense has been operative months before birth as the only communication means between the pregnant mother and the live child she is bearing, the tactile sense becomes the comparative base for all the post-natally and successively acquired sensibilities. . . "
"Because primitive sensing is tactile, man measures his distances horizontally in feet, vertically in hands. . ."
". . . Man not only thinks he sees objects outside himself, but also identifies the external objects by their tactile surfaces. Thus men tend to think of one another in the form of their tactile modeling."
- Citation and context at Brain's TV Studio, (1) +(2), 6 Jun'69

Tactile Sequence (1)
← Tactile: The Tactile Sense | Tactile Sequence (2) →
Index Entry
Tactile Sequence:
"And you and I have reviewed together how it is, due to the fact that our first apprehending capability inside the womb is where we have tactile communication with our mother for eight months. Then we're born. You can put your finger in a child's hand and already have communicated absolutely beautifully, tactilely.
"Therefore, all of our sensing about our life is always measured primarily in the tactile and everything else is referred to it. Distances are in feet and hands, our verticals in hands, and everything else we refer back to tactile. And you see me only when you say, 'I can touch you.' You're not saying, 'You're where I hear you.' You're not saying, 'You're where I think you,' or 'Where I understand you.' This is where I really am. There's absolutely nothing going on in this room except where you and I understand each other. That we really can see a touchable group-- which is the very lowest order of apprehending of the Universe-- and we make such emphasis of it. It was all so important for a human being because he weighs in as life utterly helpless and with no information so far; though he has extraordinary"

Tactile Sequence (2)
← Tactile Sequence (1) | Tactile Sequence (3) →
Index Entry
Tactile Sequence:
"information collecting, identifying, and retrieving capability but he hasn't anything put in there yet. It is very important, then, for us to recognize that in that helplessness that had to be taken care of, and it is not surprising that the first apprehension is tactile. Man, like the physical part of all systems which is entropic, and therefore it has to break down and therefore it has to be regenerated.
"In order to be sure that life regenerates itself you have to give it a drive such as hunger, so as to be sure it takes up fuel and takes on energy. You have to give it a drive first so as to be sure to get the right chemical combining. You can have a hunger for air; that's the one it really has to have the most of. So you put in a pumping system so it really isn't even conscious of breathing. And then you give it the drive to reproduce itself, because many of them are going to break down and not work out. You've got to be sure--because of man's function in Universe--that life is going along in order to carry out that function.
"If you and I had to go out and buy ourselves, if you went to"

Tactile Sequence (3)
← Tactile Sequence (2) | Tactile Sequence →
Index Entry
Tactile Sequence:
"the supermarket and had to buy your own heart and your own guts and your own lungs and your own kidneys and liver, and so forth, I'm sure most of you people would leave most of it out, and we would not be very attracted to them.
"In order to get this extraordinary complex of regeneration reproducing itself, you have to really skin it in. In a very important kind of a way, you have to make it somehow a very attractive matter-- this warmth here, and so forth, as something very attractive to make them like to get together again. And so the built-in drive to reproduce, to be sure that life is there, is very intimately tied up with the touch part and getting back in the womb, and so forth, that new life will come along then. So it's very hard for man to separate the physical in his thinking from the tactile or from the really metaphysical. It's awfully hard for him. I don't want to give up that something nice in me; that regenerative drive, something that's fascinating all the time; I really can't relinquish that and say that man is really, as far as life goes, metaphysical. But so far as I can see, that really is the fact."
- Cite RBF to World Game, Jun-Jul'69

Tactile Sequence
← Tactile Sequence (3) | Tactile (1) →
Index Entry
This is by way of really identifying that we are not the physical. We have an integral physicalness and we have an externalized physicalness, and I can call you on the telephone and there you are, and you're not the telephone and I'm not the telephone. But what we really are has nothing to do with the physical, yet it is so intimately associated, so emphatically, due to the fact that we see and feel in these touching things. Only in this century did we learn about the speed of light. Therefore we thought that things were instant: it was instant when, of course, you were the touchable.
But if-- with no instant, then this is no longer true, and you and I are seen, we even see each other, here-- I don't see out there anyway. I'm checking up on a communications system by touching here, but I'm seeing here in my television set.

Tactile (1)
← Tactile Sequence | Tactile (2) →
Cross Reference
Cross-References

Tactile (2)
← Tactile (1) | Tail End of Tail-end Events →
Cross Reference
Cross-References
- Brain's TV Studio, (1)(2)
- Geometry of Vectors
- Privacy, 22 Apr'61
- Sweepout, 5 Jul'62
- Thermal, 6 Mar'73
- thinkable You, 5 Jul'62 (2)
- Time, 6 Mar'73; Aug'71
- Womb, 20 Feb'73
- Space, 30 Sep'76
- Model of Toothpicks & Semi-dried Peas, (1)

Tail End of Tail-end Events
Cross Reference
Tail End of Tail-end Events:
Cross-References
- Trim Tab, 1963

Taj Mahal
← Tail End of Tail-end Events | Take Away the Leaders →
Cross Reference
Cross-References

Take Away the Leaders
Cross Reference
Cross-References

Takeouts (1)
← Take Away the Leaders | Takeouts (2) →
Cross Reference
Convex-concave Takeouts
Thinkability: Thinkable System Takeouts
Cross-References
- Angular Sinus Takeouts
- Conceptual System Takeout
- Tetrahedral Tuck in Universe
- Tuck
- Tuck in the Universe
- Tuck in a Plane
- Static

Takeouts (2)
← Takeouts (1) | Tale: Taling →
Cross Reference
Cross-References
- Central Angles & Surface Angles, 21 Dec'71
- Conceptuality, 17 Oct'72
- Conditioning, 14 Feb'72
- Infinity & Finity, Jun'66; Dec'61
- Vacuum, 19 Feb'72
- Space, 9 Feb'76
- Scenario Universe, 18 Jul'76; 19 Jul'76

Tale: Taling
Cross Reference
Cross-References
- Story Telling, 18 Jul'72

Talent (1)
Index Entry
Talent:
"...In the talented individual there is relatively no tug-of-war for dominance on the part of the life cells, for talent has been found to be born of two parents of almost similar life cell characteristics. This talent in human beings is similar to a specific trait on which, and for which, breeders of horses or dogs continually concentrate and inbreed; for instance, 'speed' in the horse, a special head in the dog, which requires parenthood as closely identical as possible. The product, 'colt,' may be said to have a talent for speed. The word talent as applied to persons is derived from talentum, the name for a coin of varying value, or a measure of money. Its application to persons was intended to indicate, in a rate sense, persons of a special measure, not persons of a generally inclusive, average rate ability of performance.
"In contrast to genius, talent has not the two or more viewpoints of genius, but has a 'single track' visualization. The absence of a time-and-space measuring ability limits the sight to a single nonworldly view-- 'non-worldly' because, as we pointed out in our interpretation of Einstein's formula, the conscious 'world' is in fact energy radiantly manifest"

Talent (2)
Index Entry
Talent:
"at relative rates of retarded speed, rate being the inseparable relationship of time and space.
"The harmonious concord inherent in this characteristic of the solitary talented personality of genius enables the talented individual calmly to preoccupy himself with the exquisite refinement of, or better rendition of, the compositions of genius, in all special articulation fields.
"There is no implication in this discussion of talent and genius of a greater importance for either proclivity.
"The function of genius is to provide new instruments and the process-means for the progressive growth of man; talent's function is the precise and harmonious popularization of the otherwise popularly undetectable, and therefore otherwise non-useful products of genius. What is often mistermed as 'plagiarism' is more precisely 'talent.' 'Plagiarism' is an ethical offshoot label of the false property illusion..."
- Cite NINE CHAINS TO THE MOON, pp.97-98, 1938

Talent (1)
Cross Reference
Cross-References

Talent (2)
Cross Reference
Talent:
Cross-References

Tall
Cross Reference
Cross-References

Tallying
Cross Reference
Cross-References
- Story-telling, 18 Jul'72

Tangent
Index Entry
Tangent:
"Tangent is the 'closest' that spheres may come to one another."
- Cite Numerology draft August 1971, p. 26.

Tangency
Index Entry
Tangency:
"In your closest packing you have the spheres which are just high-tide aspects of vectors. . . Because the lines are now hidden between the points of tangency. It is very easy to be greatly misled when you see two spheres in tangency. There is only one line between the two. This is where you see that unity is two because the line breaks itself into radii of the two spheres."
-
Cite RBF Tape Hyatt Regency Hotel, Chicago, 31 May 1971, p. 78
-
Citation & context at Closest Packing of Spheres, 31 May'71

Tangency
← Tangency | Tangential Avoidance (1) →
Index Entry
Tangency:
"A point on a sphere is never an infinitesimal tangency with a plane."
-
Cite RBF to EJA, Blackstone Hotel, Chicago, 31 May 1971.
-
Citation & context at Sphere, 31 May'71
POINT. SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-519.21519.21

Tangential Avoidance (1)
← Tangency | Tangential Avoidance (2) →
Cross Reference
Tangential Avoidance:
Cross-References

Tangential Avoidance (2)
← Tangential Avoidance (1) | Tangency Tangential (1) →
Cross Reference
Cross-References
- Interference, Nov'71 (2)

Tangency Tangential (1)
← Tangential Avoidance (2) | Tangency Tangential (2) →
Cross Reference
Omniintertangency
Tangible
Cross-References
- Centrifugal
- Crossing Tangency
- Intertangency
- Internuclear Vector Modulus
- Sphere Tangent with a Plane
- Tactile
- Touch

Tangency Tangential (2)
← Tangency Tangential (1) | Tangible Me →
Cross Reference
Cross-References
- Closest Packing of Spheres, 31 May'71*
- Compression, 22 Jun'72
- Gravity
- Nucleus, (1)
- Omnidirectional, (1)
- Spheres, 31 May'71*
- Macro-Micro, 12 Nov'75

Tangible Me
← Tangency Tangential (2) | Tank →
Index Entry
Tangible Me:
"...The tangible me is like the water that told me that a wave went by."
- Citation and context at Metabolic Flow (1), 9 Jul'62

Tank
← Tangible Me | Tape: Tape Recorder (1) →
Index Entry
Tank:
"A tank was just a submarine come up on the land."
- Cite RBF at Penn Bell videotaping session, Philadelphia, 23 Jan'75

Tape: Tape Recorder (1)
Cross Reference
(To) Save Time, Tape, & Type
Cross-References

Tape Recorder (2)
← Tape: Tape Recorder (1) | Tapestry →
Cross Reference
Cross-References
- Fuller, R.B: His Modus Operandi, 15 Jun'74

Tapestry
← Tape Recorder (2) | Tapestry →
Index Entry
Tapestry:
"The inventory of all our experiences is a tapestry. It takes me 51 hours to describe all the experiences I work in."
- Cite RBF to Paul Ronder, Summer Morning Films, Inc. Beverly Hotel, NYC, 14 May '72

Tapestry
Cross Reference
Cross-References

Tapestry (2)
← Tapestry | Task: The Larger the Task the Duller the Brain →
Cross Reference
Cross-References
- Scenario, May'72

Task: The Larger the Task the Duller the Brain
← Tapestry (2) | Taste buds of Sound →
Cross Reference
Cross-References

Taste buds of Sound
← Task: The Larger the Task the Duller the Brain | Taste Tasting →
Cross Reference
Cross-References
- Poets, 1970

Taste Tasting
← Taste buds of Sound | Teachable vs. Unteachable →
Cross Reference
Cross-References
- Principle, 6 Apr'75

Teachable vs. Unteachable
Index Entry
Teachable vs. Unteachable:
"Everything that constitutes science
Is unteachable....
"Scientific routines for specialized technicians
And scientific formulas for their reference
Alone are teachable."
- Citation & context at Science, Oct'66

Teacher
← Teachable vs. Unteachable | Teacher →
Cross Reference
Cross-References
- Principle, 22 Feb'72

Teacher
Index Entry
Teacher:
"The teacher. . . a skilled re-dispenser of what other teachers had successively taught other teachers to teach."
- Cite RBF Ltr. to Robt. W. Marks, p.10; 13 Mar'65

Teaching
Index Entry
Linus Pauling said 'I'm not going to teach my whole freshman class all the things that were wrong--the whole evolution of the subject. Just start with what has been learned in the past 24 hours. It's much simpler.'

Teaching (1)
Cross Reference
Cross-References

Teaching (2)
← Teaching (1) | Tear Tearing →
Cross Reference
Cross-References
- Psychiatry, (2)(3)

Tear Tearing
← Teaching (2) | Tears in the Evening →
Cross Reference
Cross-References
- Angular Sinus Cutout
- Child Tearing Paper

Tears in the Evening
← Tear Tearing | Technocracy →
Cross Reference
Tears in the Evening:
Cross-References
- Superstition, 1938

Technocracy
← Tears in the Evening | Technocracy →
Index Entry
Technocracy:
"I am not talking about the engineers or scientists becoming politicians. That was tried in 1930 in Technocracy wherein the engineer-scientists were to muster a host of disgruntled engineers and, taking guns, seize the post offices. They proposed gaining their ends by reverting to the physical power tactics of the pirates and their politicians. But the scientists and engineers enlisted were too honest to be good politicians. Technocracy failed before it got going. So the prospect is that we are going to have to follow the medical scientists' successful precedent of minding everybody's physical success business while avoiding any interference whatsoever from the clients or [redacted]; interference with the clients' metaphysical freedoms. We are going to have to do so by holding ourselves exclusively to reforming the inanimate environment, to make it able to support all men without ever resorting to the politicians' policy of would-be reformation of the human beings-- their thought processes, their initiatives, and their wills,"

Technocracy
Index Entry
The "natural evolution of intellectual accomplishment for the many by the few is the antithesis of such reverse gear schemes as Technocracy which sought to establish an autocracy of engineers schematically similar in aim to national socialism. Technocracy sought to convert the engineer to the role of politician. But the engineer proved no more effective than the most ignorant and slothful in the ballot box game, and much too forthright by training to be a good politician. Superficially saleable as an inviting scheme Technocracy failed as an 'out' for society primarily because the engineer must vacate his creative and causal function for a negative and restraining function.
- Cite Part II., Earth, Inc. Fuller Research Foundation Yellow typescript, p. 9, 1947

Technocracy
Index Entry
Technocracy:
"Technocracy? No. Technocracy failed because it made no allowance for passion, fashion, chance, change, intuition, the mysticism of harmony, and, most important of all, for-- 'it happens.'
Technocracy called for an autocracy of engineers to fulfill its scheme. Political movements that call for an autocracy of a special viewpoint are ever doomed to failure as the trend indicates segregation of issues and a recomposed balance of all-time forces. Speculation and initiative in the acceleration of change, are all-time forces, and are as essential in a scheme of realism as suffrage and socialization of essentials and plenitudes."

Technocracy
Cross Reference
Cross-References
- Capability, 20 Apr'72
- Superstition, 1938

Technology
Index Entry
Technology:
"I told them at Drexel that the reason that 90 percent of the people want to give up on technology is that they are all so totally out of touch now with the experimental evidence that is the basis for science. To give up technology... just means giving up Universe."
- Cite RBF to EJA, on telephone from Philadelphia; 22 Feb'77

Technology
Index Entry
Technology:
"Technology was not brought into our life on this planet by humans.
"The first used technology to convert vegetables and animals into eatability. But as we can see in our anthropology museums much of the best new technology goes into weapons."

Technology
Index Entry
Technology:
"Human beings think of technology as something new. They think of it as something negative that's used for killing people. The way human beings misuse technology has been fearful. But you never will go back to pre-technology.
"The only question about technology is how do we employ it. And are we trespassing? Are we using the lever or burning the lever up? Just because we don't know what makes our fingernails grow doesn't mean that it's not technology. That's all that nature is."

Technology
← Technology | Technology (1) →
Index Entry
Technology:
"Technology is the integrity of interoperativeness of principles which make possible an eternally regenerative Universe."
- Cite RBF at Penn Bell videotaping session, Philadelphia, 20 Jan'75

Technology (1)
← Technology | Technology (2) →
Index Entry
Technology:
"I want you to think of yourself-- as a grand strategy-- saying: I just have this one life and I really have to do my own thinking. One of the things that impresses me very much is that we are operating in an era where there is a great deal of technology that has arrived. The phenomenon industry is operative.
"We were trying to account all the new technology in the terms of the agricultural accounting. I saw then that in the industrial equation, where you're really dealing with the cumulative know-how of all of humanity, there is no such annual accounting season and this is forcing man to be shortsighted. Society was now dealing in new kinds of magnitudes of undertakings that should be thought of in very much larger blocks of years.
"In the industrial equation you might be at a machine making bolts but you couldn't put bolts in your pocket and go and swap them for hamburgers. You found then that what really happened was that you came to a river that yesterday you couldn't cross. There was a very great current; but suddenly there's a bridge there-- and there were some of your bolts. I saw that the payoffs were very different and indirect in the new kind of technology that was coming upon us."

Technology (2)
← Technology (1) | Technology →
Index Entry
Technology:
"And I thought that technology itself was, even back in 1927, being identified with exploitation, with ways of making money, rather than being thought of as some evolutionary event of humanity-- some increases in artifacts and transformations of artifacts.
"So I'll give you quite quickly my way in which I came to identify industrialization and you'll find it quite different from the business viewpoint, or from the legal viewpoint. I said: Alterations of the environment produce artifacts-- like bird's nests-- that are essential to the survival of the species. You can call it an extracorporeal artifact; but it is a tool. I saw these in terms of solving functions. Human beings were not at all the only tool makers."

Technology
← Technology (2) | Technology →
Index Entry
Technology:
"Not a single stage of our technology has ever been predicted."
- Cite 'THINKING OUT LOUD (2): WE ARE NOTHING BUT A SPACE PROGRAM, World Mag., 17 Jul'73

Technology
Index Entry
Technology:
"Man evolved technology is thus far amateurish compared to the elegance of nonhumanly-contrived eternal regeneration. Man does not recognize technology other than his own so he speaks of the rest as something he ignorantly calls nature. Most of man's technology is of meager endurance being comprised at the outset of destructive invention such as that of weaponry, or for something in support of the quick-profit, man-invented game of selfishly manipulative game-playing and rule inventing for the playing of his only-ignorantly-preoccupying value systems."
- Cite RBF draft Ltr. to Karan Singh incorporated in SYNERGETICS text at \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/100-synergy#section-173.00173, 13 Mar'73

Technology
Index Entry
Technology:
"In its complexities of design integrity the Universe is technology."
- Citation and context at Biological Design, 13 Mar'73

Technology
Index Entry
Technology:
"There is nothing wrong with technology. The Universe is technology-- The most comprehensively complex technology.
....
Human organisms are Universe's Most complex local technologies.
....
"Technologies may be used To "kill" technologies; That is, to smash Or degenerate other organisms-- machines."
- Cite Dreyfus Preface, "Decease of Meaning 28 April '71, pp. 1 - 3.

Technology
Index Entry
Technology:
"The Universe is regeneratively transformative technology."
- Cite ARCHITECTURE AS ULTRA INVISIBLE REALITY, p. 158, Dec '69

Technology
Index Entry
Technology:
"We must realize that technology was not put into the universe by man. The universe is the comprehensive system of technology. .. These generalized principles were all found to be operating a priori to man. Man simply finds and employs. He does not put anything into the universe."
- Cite WORLD GAME (3) Oct'69

Technology
Index Entry
We hear a great deal about technology as something very threatening-- something new. I'm going to try to define automation. By automation I would mean any regulatory pattern or control operative independent of man's controlling it: that would be automated. I'll point out to you that the orbiting about the Earth and all the pulsing of the Sun ... this is all automated. I point out that none of you know what you're doing with your lunch right now. .. this is all automated. You're not consciously saying, 'I'm going to send this off to make hair for tomorrow, and I'm going to have curly hair, or whatever it is. You don't have the slightest idea why you were born at seven pounds and why you went to 170 and why you stopped. Wherever it is, it's all automated. People learned accidentally that they pushed some buttons and made some babies, but all the rest is automated. They haven't the slightest idea why. I point out to you that we have never had anything but automation.

Technology
Index Entry
Technology:
"What we call technology is the externalization and amplification of our original integral functions and capabilities. In our technology we have not invented and developed any new functions."
- Cite SENATE HEARINGS, p.13, 4 Mar '69

Technology
Index Entry
Technology:
"Many of the large scientific breakthroughs in our recent history are fundamentally unheeded by society. Society employs the technology which accrues to the scientific breakthrough but keeps on thinking in the prebreakthrough ways. Society is, therefore, continually surprised, puzzled, and disturbed by the overall effects of the technology which are comprehensible only through an understanding of the fundamental physical principles governing the phenomena."

Technology
Index Entry
Technology:
"Technology paces industry by progressively increasing
the range and velocity inventory of technical capabilities."
- Cite NO MORE SECONDHAND GOD, Preface, p. ix. 1960

Technology
Index Entry
Technology:
"Technology represents philosophy resolved to the most cogent argument. . . If man did this, such would result. In technology man is empowered to explore and develop his own "if" without reference to the limiting response of other preoccupied egos. Through technology alone the creative & individual can of free will arrange for the continuing preservation of mankind despite individual man's frustrating propensities. Mechanisms are the antithesis of the Frankenstein concept. They represent the direct and only means of articulation of free will. Mechanisms can only be operated by man."
Cite EARTH, p. 11, 1947
- Cite RBF Reader (Ed. James Meller) pp.213-232.

Technology
Index Entry
Technology:
"Technology-- instrumented and documented intellect-- improves with every reemployment because experience is consolidated in increasing degrees of precision, behavior and dimensional data."
-
Cite Part II., Earth, Inc. Fuller Research Foundation Yellow typescript, p. 13. 1947
-
Cite also "Cumulative Nature of Wealth," Chapter 7 of IDEAS & INTEGRITIES, p.144

Technology
Index Entry
In terms of absolute principles, the more you use technology the more it improves instead of wearing out; thus balancing other factors of thermodynamics where there is some possible question as to the ultimate conservation of matter. Cite: Ephemera - Wichita, Kansas 1946 (Coll. EJA.)

Technology
Index Entry
Scientific laws are statements of observation of consistently observed characteristics and behavior patterns. Technology applies science by composing the phenomena of the individual laws in reciprocal arrangement,
- Cite ARCHITECTURE FROM THE SCIENTIFIC VIEWPOINT NYU Symposium 12 May '39, p.2

Technology
← Technology | Technology Assessment →
Index Entry
Technology:
"One of the best ways to get new technological advantages at work in society is to make them tantalizing enough so people will steal them."
(RBF, recapitulating an assertion he has made many times in the past.)
- Cite RBF to EJA, New York, 14 Sept. 1971.

Technology Assessment
← Technology | Technology: Computers →
Cross Reference
Cross-References
- Invention Sequence, (2)
- Technology, 17 Jul'73; Jun'66

Technology: Computers
← Technology Assessment | Technology & Culture →
Cross Reference
Technology: Computers:
"The computer has given man physical hardware without his understanding how he arrived there. This has brought about a general disenchantment with technology. Enchantment can only be sustained in those who have it, or regained by those who have lost it, through conceptual inspiration. Nothing could be more exciting than the dawning awareness of the discovery of the presence of another of the eloquently significant eternal reliabilities of Universe."
- Cite RBF dictation to EJA for SYNERGETICS, Beverly Hotel, New York, 28 Feb. '71. Re-drafted by RBF 7 Oct. '71. See "Synergetics," \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-204.00204. 8 Oct. '71.
Cross-References
- Synergetics, 8 Oct

Technology & Culture
← Technology: Computers | Technology: Enchantment vs. Disenchantment (1) →
Index Entry
Technology & Culture:
"Technology is the wellspring of culture which must evolve as technology includes and refines and makes obsolete many of our local tribal customs.
"The culture is in the design; the components, the materials and the metals are universal. Technology is immaculate.
"Culture is the capability to take advantage of energy design with the technology available. . . . How to behave appropriately to the technology, how to work its multiplying advantages to the enhancement of the many is what distinguishes the really cultivated human."

Technology: Enchantment vs. Disenchantment (1)
← Technology & Culture | Technology: Enchantment vs. Disenchantment (2) →
Index Entry
Q. "How do we cope with the acquisitive and competitive factors in our society to avoid the misuse of resources... and in a way that our artifacts must be responsive to our values?"
RBF: "I don't accept any must-be-so about anything. There are six moves with every turn of the play. We are designed to make mistakes. Parents don't want children to get in trouble with the system. We punish everybody for making mistakes. I exult in all the bad news of the mistakes being made because that's how we get something done about it.
"Universe is nothing but technology. You can pick up a stone and throw it at someone's head--a horrible mistake, killing explicitly... but it's not the fault of technology. Using the faculties of Universe is what it's all about.
"We are not going to get there by talk... or by electing somebody over here. We are going to get there by knowledge and competence."

Technology: Enchantment vs. Disenchantment (2)
← Technology: Enchantment vs. Disenchantment (1) | Technology: Enchantment vs. Disenchantment (3) →
Index Entry
Technology: Enchantment vs. Disenchantment:
"When I wrote NINE CHAINS TO THE MOON I started the book out with a tentative cosmic inventory: What do we know? I had designed my book from the whole to the particular. And I wrote in there, in the chapter about E=mc² and Mrs. Murphy..., and about Einstein's 'Cosmic Religious Sense,' the article he had done for the New York Times Magazine on the nonanthropomorphic idea of God, about how Johannes Kepler, though a heretic had such faith and inspiration alone with the stars... Fear and longing... I got permission to run that piece. What I wrote in the book was that in due course Einstein would affect all our everyday life.
"Christopher Morley had persuaded Lippincott, here in Philadelphia to publish my book, but they balked at the chapter on Einstein. They said there is a list of only 12 people who understand Einstein and you're not on that list: in fact, you're not on any list! So I asked Lippincott if they would send the chapter to Einstein in Princeton and after he had read it he agreed to meet with me one evening at the apartment of Dr. Fishbein on Riverside Drive in New York. That was"

Technology: Enchantment vs. Disenchantment (3)
← Technology: Enchantment vs. Disenchantment (2) | Technology: Enchantment vs. Disenchantment →
Index Entry
Technology: Enchantment vs. Disenchantment:
"when Einstein said to me, 'young man, you amahsse me... I can't imagine any of my ideas having, even the slightest practical application.' He wrote his theories for a small audience of astrophysicists and cosmogonists. But it was his original idea of getting energy out of matter that led the scientists to seek his authority in warning President Roosevelt about the heavy water research the Germans were up to... and that led eventually to the bomb at Hiroshima.
"And since then the scientists have just laid eggs while the financial and political exploitation system hatches them. The scientists' specialization gives them no control over such matters; they have nothing to cope with--they just stay in their laboratories and lay eggs.
"But the question was about competition and acquisitiveness... all of which was okay when there was not enough to go around. I can understand selfishness being rationalized as it has been in history: exploitation of colonies in the nameof God and the King... Cortez in Mexico and so on: 'I'y people are a little holier than yours so we've got to have a fight about it."

Technology: Enchantment vs. Disenchantment
← Technology: Enchantment vs. Disenchantment (3) | Technology: Enchantment vs. Disenchantment →
Index Entry
We now have a new lawyer-kind of capitalism where wealth no longer consists of property and they are beginning to put the control of know-how in the books, into the accounting... And the multinational corporations are getting out from under all of the sovereignties. And the managers don't seem to have much to do with it. The lawyers saw that the purpose of the corporation was to cut down the responsibility of the individual--limited liability. The bankers have had no more control than the postmasters handling the mail, but they end up with more of the peoples' money than they have kept to themselves... the banks and the government.
The $80 billion spent for the first A-bomb project would cost out at worth about $3 trillion now. And the banks all persuaded President Eisenhower to turn it all over to private industry as a present. Now while it is true that freedom of initiative is essential to human progress, here it was just being selfishly exploited in the name of 'free enterprise,' an example of a really noble idea being selfishly corrupted.
And we're also up against $53 billion a year of advertising,
- Cite RBF to World Game Workshop; Phila., PA: 22 Jun'77

Technology: Enchantment vs. Disenchantment
← Technology: Enchantment vs. Disenchantment | Technology: Enchantment vs. Disenchantment →
Index Entry
trying to persuade us to buy things we don't need. The big
companies don't even want the little individuals to latch on
to the wind with windmills. But Hans Kieyer persuaded the
public utilities to accept excess wind power into the main
grid. He did it by more efficient conversion from DC to AC
and by introducing more sensitive meters. There is a 50
percent loss of efficiency if you feed direct current into
storage batteries; therefore the solution was to feed it into
the power grid--selling it at wholesale and buying it back at
retail prices. This is how you can impound Sun radiation for
society without going against the system....
Making sense and making money are mutually exclusive. I
have nothing against regenerative economic sustenance; I'm
just against the people who want to get in on the right stocks
to make a killing.

Technology: Enchantment vs. Disenchantment
← Technology: Enchantment vs. Disenchantment | Technology: Enchantment vs. Disenchantment (1) →
Index Entry
Technology: Enchantment vs. Disenchantment:
"I'm confident of bringing science and the humanities together with another book. I hope to make science comprehensible to mankind. My lifelong work is 'Synergetics.' This describes the comprehensive, mathematical, rational coordinate system apparently employed by nature.
"Much of the dilemma of our time is that 99 percent of the people who are not scientists have no sense of what is going on. The teaching of science is playing such a part in life today that you can say we have reached the point of a new revolution when man defeats himself by his own knowledge."
- Cite RBF to Australian journalist, Jane Ram; Hongkong, 17 Dec'74

Technology: Enchantment vs. Disenchantment (1)
← Technology: Enchantment vs. Disenchantment | Technology: Enchantment vs. Disenchantment (2) →
Cross Reference
Cross-References
- Frankenstein Concept
- Science: Gap Between Science & the Humanities

Technology: Enchantment vs. Disenchantment (2)
← Technology: Enchantment vs. Disenchantment (1) | Technology (1) →
Cross Reference
Cross-References
- Technology: Computers, 7 Oct'71
- Free Will, 1947
- Universe is Technology, (1)(2)

Technology (1)
← Technology: Enchantment vs. Disenchantment (2) | Technology (1B) →
Cross Reference
Domestic Technology
Inventability
Landborne Technology
More with Less: Sea & Air Technologies
Cross-References
- Airplane Technology
- Airspace Technology
- Automation
- Autonomous Living Technology Packet
- Capability
- Design vs. Technology
- Fallout Technology
- Humanity-considerate Technological Accommodation
- Invention
- Know-how

Technology (1B)
← Technology (1) | Technology (2) →
Cross Reference
Science as Tool
Cross-References
- Nature's Technology vs. Humans' Technology
- Prototype
- Pyramid Technology
- Research & Development
- Sea Technology
- Science-technology-industry-economics-politics Sequence
- Secondhand Gadgetry
- Space Technology
- Standby Technology
- Technocracy
- Universe is Technology
- Weapons Technology
- Wood Technology

Technology (2)
Cross Reference
Outlaw Area, 8 Jan'66
Cross-References
- Automation, Jun'69*
- Biological Design, 13 Mar'73*
- City, (2)
- Cultural Life, 1 Jul'62
- Nature, May'70
- Tree, Feb'73
- Robin Hood Sequence, (2)
- Pathology: Preventive vs. Curative, (1)
- Doing What Needs to Be Done, (3)
- Cosmic Accounting, 20 Sep'76
- Buddha: Christ: Mohamed, (1)(2)
- Dymaxion Car, 13 May'77

Teeth
← Technology (2) | Telefacture →
Cross Reference
Cross-References

Telefacture
Index Entry
'Telefacture' may well supplant 'manufacture.'

Telegraph
← Telefacture | Telegraph: Telegraphy →
Index Entry
Telegraph:
"When the telegraph came in then the one-to-one correspondence of democracy went out. The news used to travel by word of mouth. But with the telegraph the news could travel faster than the reaction: you could have the stimulus, but no response."
- Cite RBF to Hugh Kenner, Phila. PA, transcript p.10, 8 Jun'75

Telegraph: Telegraphy
← Telegraph | Telemation Satellite-relayed →
Cross Reference
Cross-References
- Sovereignty, (1)(2)
- Planetary Democracy, (4)
- Teleology, (1)(2)

Telemation Satellite-relayed
← Telegraph: Telegraphy | Teleologic Conversion of Information →
Cross Reference
Telemation: Satellite-relayed:
Cross-References
- Mines Above Grade, 30 Jan'75

Teleologic Conversion of Information
← Telemation Satellite-relayed | Teleologic Quanta Series →
Index Entry
..."The apprehending-comprehending teleologic conversion of information from subjective awareness to objective use in the ever developing capability to adjust and cope with environmental events."

Teleologic Quanta Series
← Teleologic Conversion of Information | Teleology →
Index Entry
Teleologic Quanta Series: ∞ ∞ ∞
"Teleologica quanta series produce basic wave systems which always return cyclically back upon themselves."
- Cite RBF holograph for Herman Wolf, Boston, 1:20 a/m/, 8 May '72

Teleology
← Teleologic Quanta Series | Teleological Schedule of Universal Design Requirements →
Index Entry
Teleology:
"Teleology is where you go through a subconscious awareness as a wave formula from experience to intuition."
- Cite RBF to EJA, Beverly Hotel, New York, 26 Jan '72

Teleological Schedule of Universal Design Requirements
Cross Reference
Cross-References

Teleology
← Teleological Schedule of Universal Design Requirements | Teleology →
Index Entry
“One of the things I never ask myself is how are people going to like it. I would say: What is the Universe trying to do? How and why are we here? I am assuming that we do not know. I am not assuming that we have the competence to judge. I do not look at things in terms of being an elite with Universe disclosing to us some of her recirculatory capabilities, particularly in eternally regenerative Universe. When I ask what are we here for I get into the function of man as the local monitor of problem-solving with reference to capabilities of a generalized sort that no other phenomenon has. We are here then for that function and not for our personal satisfaction-- or the satisfaction of local political bodies-- or proving any ideological system to be great. Those are transitory and unnecessary to the development of man. But we are coming out of this shell-- and this is all in the metabolic cord. The trick is not knowing that it is going to break our legs. You never know who is going to be using those legs. I think that all of humanity is in exactly that position today. We are going to have a very different orientation of humanity to Universe. The younger they are the more they feel it.”
- Rbf tape transcript #4 to W. Wolf, Phila., PA., pp.2-3, 15 Jun'74

Teleology
Index Entry
Teleology:
"Teleology-- as part
Of communications theory
Relates to the pursuit of truth
As entropy and antientropy.
It may be that
Communications theory
May be mathematically equated
With electrical
Transmission theory
Whereby the higher
The meaning or voltage
The more efficient
And longer distance
Communication attainable."
- Cite HOW LITTEE, p. 32. Oct'66

Teleology
Index Entry
Teleology:
"Teleology embraces
The theory of communication,
Though as yet having special-case limitations.
It is an hypothetical
Approach to a pure, abstract generalization
To say that teleology
Is only intuitively initiated by humans."
- Cite HOW LITTLE, p. 30. Oct'66

Teleology
RBF Definitions
Teleology means the intuitive conversion by brain and mind of special-case subjective experiences into generalized principles and their subsequent objective employment in special-case undertakings.
"The discovered principles governing the inter-transformative structuring of universe permit the sub-consciously teleological and conscious design-initiating individual to reform the environment in such a manner as to provide ultimately higher advantage for men and in such a manner as to regenerate in other individuals the drive to further transform the environment to even higher advantage for all. The design may increase the degrees of freedom of individuals by reducing environmental interferences or it may decrease freedoms as with traps and prisons."

Teleology
Index Entry
Teleology:
"A name for the process of observing consciously, or absorbing subconsciously, from the outside inward so that one may do from the inside outward is teleology. When finally solving from the inside out, the teleologic perspective will be universal, and the equation of performance will be:
'Degree of Satisfaction = Degree of Factor Encompassment Inclusion.'"

Teleology (1)
Index Entry
Teleology:
"The words 'telegraph' and 'telephone' have quite naturally been derived from teleology. The process they represent mechanically abstracts the original, with the minds of operators interpolating at abstract stages to produce an ultimately sensorial result. ('Telefacture' may well supplant 'manufacture.')
"To illustrate the process in 'telegraph,' let us suppose an original phenomenon such as death of Uncle John.
"A telegram is sent to a florist by someone, the message being transmitted as a dot-and-dash interruption on an electrical circuit. The dot-and-dash symbols are converted at the receiving end of the wire into ink symbols, codified with the dot-and-dash system, on a piece of yellow paper. This piece of paper is transmitted to a florist who sends flowers to 37 Bond Street--flowers but that morning growing in a field only to be suddenly severed from their roots, covered with waxed paper, packed in a receptacle of water standing next to a black box in which in which has been deposited a discarded human machine. The telegram sender, rueful of"
- Cite NINE CHAINS TO THE MOON; p.46, 1938

Teleology (2)
← Teleology (1) | Teleology (3) →
Index Entry
Teleology:
"death, caused further death to be a paying business, an odd result from the original cause.
"The means of provoking the effect by the cause was not merely a mechanico-electrical process; more important were the phantom captains who performed the function of 'interpolation' at the various receiving instruments by transforming the dots and dashes not only into ink symbols but into further botanical death.
"The essence of this phenomenon is that the interpolating function is one that no machine will ever perform. The art of teleologic design is, then, one of delicacy of attunement in the interpolation of every seemingly casual event of life into non-haphazard objective instruments--whether written words, medical prescriptions, or pencils, the function of the instrument being, in turn, the harmonic abetment of the trends intuitively to be detected by the teleologist through the keyhole of his 'own' phantom captain's study. Teleology will have more and more significance as the teleologist carries on the vast task of exploring and including all factors making up man's "
- Cite NINE CHAINS TO THE MOON; pp.46-47, 1938

Teleology (3)
← Teleology (2) | Teleology: Bow Tie Symbol →
Index Entry
Teleology:
"universal status quo.
"The consumption and digestion of facts and statistics is somewhat like eating and chewing hay and thistles. Their is nourishment in them in their raw state, to be sure, but a cow is needed to convert them into milk. Likewise the average human mind needs an intermediary--a teleologist--to convert vital factors into digestibles for his objective use.
"To the student of teleologic design, particularly as applied to shelter service, we offer a 'cowing' of the vital factors of man's estate at this moment of ken. Only by awareness of this estate can the teleologist interpolate therefrom an adequate industrial design of world-encompassing shelter service, which will be so utilitarianly adequate and harmonic as to insure man's irrepressible appetence for such shelter service's industrial reproduction."
- Cite NINE CHAINS TO THE MOON, p.47, 1938

Teleology: Bow Tie Symbol
← Teleology (3) | Teleology: Bow Tie Symbol →
Index Entry
My original 4-D, convergent-divergent, vector equilibrium conceptualizing of 1927-28 was primitive Bow Tie: the symbol of intertransformative equivalence as well as of complementarity: convergence Also the symbol of syntropy-entropy and of wave and octave -4, -3, -2, -1, +1, +2, +3, +4.

Teleology: Bow Tie Symbol
← Teleology: Bow Tie Symbol | Teleology: Bow Tie Symbol →
Index Entry
There really is no equality. That's why I use the bow tie symbol.
- Cite RBF to EJA, Beverly Hotel, New York, 26 Jan '72

Teleology: Bow Tie Symbol
← Teleology: Bow Tie Symbol | Teleology →
Index Entry
Teleology: Bow Tie Symbol:
"Did you ever see my 'Nine Chains to the Moon' book, Lippincott, 1938. I had the press produce a little bowtie symbol for teleology. I use the word many times. I also felt that the equation symbol was false as I felt that parallel lines were inadequate to the exquisite transforming balances of inside-outing involved in equations. I substituted my bowtie symbol for the equation marks leaving the parallel lines symbol for statement of analogy."
- Cite RBF Ltr. to Gene Fowler, 9 May '60.

Teleology
← Teleology: Bow Tie Symbol | Teleology: Bow-tie Symbol (1) →
Index Entry
Teleology: Bow Tie Symbol: (◇◁)
"Let us symbolize teleology as ▷◁, like a bow tie. This is a neat and specific equation mark, combining the symbol of symmetrical expansion (the "x", multiplication, or 'times' mark) with the equation mark(=). It is currently more fitting as an equation symbol than the old equation mark because we now know that parallel lines, or conditions, are impossible. Moreover, quasi-parallel lines, never coming in contact, are procreatively sterile. The "=" is, then, inaccurate as a sign to link integrators and product:
(2 x 3 = 6 theoretical)
(2 x 3 ▷◁ 6 factual)
"Our teleologic symbol ▷◁ represents, by its loose-ended "x" inclusion and by the conjunction of its ends, a finite radial limit of the segment of inclusion and the segment of conclusion, like an hourglass on its side. It is offered, then, as the logical successor of the familiar equation symbol for use in any consideration of the now apparently expanding Universe."
- Cite NINE CHAINS, p. 42,1938

Teleology: Bow-tie Symbol (1)
← Teleology | Teleology: Bow-tie Symbol (2) →
Cross Reference
Equals Sign
Cross-References
- Nonequals: Nonequality
- Now Hourglass: Cross Section of Teleological Bow Tie
- Bow Tie
- Equation Symbol
- Parallel: Quasi-parallel Lines

Teleology: Bow-tie Symbol (2)
← Teleology: Bow-tie Symbol (1) | Teleology - Reuniting of Parts →
Cross Reference
Cross-References

Teleology - Reuniting of Parts
← Teleology: Bow-tie Symbol (2) | Teleology: Spontaneous vs. Emergency →
Cross Reference
Cross-References
- Algebra, 1938

Teleology: Spontaneous vs. Emergency
← Teleology - Reuniting of Parts | Teleology Teleological (1) →
Cross Reference
Cross-References
- Artist, 13 Feb'72

Teleology Teleological (1)
← Teleology: Spontaneous vs. Emergency | Teleology: Teleological →
Cross Reference
Emergency Teleology
Spontaneous Teleology
Ends
Cross-References
- Cause, (1)
- Design Science
- Determinism
- No End in Itself
- Mathematical Explanation of Life
- Meaning
- Evolution: Man as Evolution Modifier
- Man's Conscious Participation in Evolution
- Man as a Function of Universe
- Man as Local Problem Solver
- Man as Local Universe Technology
- Amused: We Are Not Here to Be

Teleology: Teleological
← Teleology Teleological (1) | Telepathy →
Cross Reference
Pattern: Hierarchy Of, 1954
Cross-References
- Algebra, 1938 (1)
- Brain's TV Studio, (1)
- Creativity, 10 Apr'73
- Design, 4 Aug'74
- Environmental Events Hierarchy, 1954
- Feedback Lags, 1954
- Industrial Theory, 1971
- Intellect, 1972
- Meaning, 29 Jun'72
- Performance: Equation Of, 1938
- Principle, 1 Feb'75 (1)(2)
- Rearrange the Scenery, May'72
- Simplicity, 1954
- Unanswerable, 20 Jun'66

Telepathy
← Teleology: Teleological | Telepathy →
Index Entry
Telepathy:
"... Subconsciously telepathic ultra-ultra-high frequency electromagnetic wave propagation, signalling subconsciously reflexed feedback attitudes..."

Telepathy
Index Entry
Telepathy:
"Telepathy is a standby capability that everyone has, one of nature's fail-safes."
- Cite RBF quoted in HOUSE & GARDEN Interview by Beverly Russel, p. 198, May '72

Telepathy
RBF Definitions
Almost everyone has had
The strange sensation of telepathy
Occurring as various kinds of awareness,
Anticipations or sensing
Of the imminent presence of other persons."

Telepathy
Index Entry
This experience * persuaded me that telepathy Might well be very short-range, Very high-frequency Electromagnetic-wave propagation. Assuming this to be so We arrive at some new vistas of thought. (* Alexandra theme)
- Cite BARTIN & MIND, p.161 May '72

Telepathy
Index Entry
". . . Time and again my wife and I, or the trained nurse and my wife, had a sentence formulated and about to be spoken when she [Alexandra] would say our words before we could do so, though those words often were phrased in a vocabulary other than her own. Clearly telepathy was being demonstrated as a commonly innate capability. We all have experiences which can only be explained as telepathy, which lacks scientific proof and remains indefinable, implying magic. Our child clearly demonstrated that it was an innate capability and not a supernatural aberration." - Cite Museum Keynote Address Denver, pp. 1-2. 2 Jun'71

Telepathy
Index Entry
Telepathy:
"In the great overall evolutionary trending of humanity's gradually learning to produce ever more with ever less, it is implicit that the present discoveries of the electromagnetic behaviors of the brain and its local nerve system controls by mind will eventuate in telepathy's being graduated from society's assessment of it as a mystical-magical phenomenon to an everyday communication facility."
- Cite Dreyfuss Preface, "Decease of Meaning." 28 April 1971, p.

Telepathy
← Telepathy | Telepathic Tunability →
Index Entry
Telepathy:
"For humans to have within their cerebral mechanism the proper atomic radio transceivers to carry on telepathetic communication is no more incredible than the transistors which were invented only two decades ago, and far less incredible than the containment of the bat's radar and range-finding computer within its pin-point sized brain."
- Cite RBF Intro. to Gene Youngblood's EXPANDED CINEMA, p. 27. Oct'70

Telepathic Tunability
Cross Reference
Cross-References

Telepathy (1)
← Telepathic Tunability | Telepathy (2) →
Cross Reference
Fuller, R.B: Alexandra Theme
Jury: Trial by Jury
Scan-transmission of Pattern Integrities
Subconscious
Electromagnetic Transmission: Subjective & Conscious
Extraorganic Travel
Cross-References

Telepathy (2)
Cross Reference
Cross-References
- Discovery, 11 Jul'62
- Electronic Referendum, 29 Jun'72*
- Lecturing, Oct'70
- Rationalization Sequence, (5)
- World-around Communication Transcends Politics, (1)
- Womb Population, (2)

Telephone
← Telepathy (2) | Telephone (1) →
Index Entry
The Bell System could have focused on the instrument instead of the service. They could have had telephone architects like so much napalm and voodoo.

Telephone (1)
Index Entry
The design scientist deals in comprehensive artifacts to alter the environment; he also deals in how do you produce the artifacts, what are the relative efficiencies, what are the alternates, and what are the options, of how it mixes the structural and mechanical, the electrical and the chemical. The design scientist has to know about all these aspects and be responsible for not only designing the end product, but How do you produce it? Having produced it, How do you get it where it needs to be? And he designs the economics of it; so he shows that it will be working much better being rented as a service industry like the telephone than being sold. If you sold all the telephones then people would hang on to their old ones. (They have brought in some classical modern designs or a modern rock designed telephone instrument; and they're really no good.)
The most extraordinary thing is that the telephone makes its money by frequence of use of the telephone. They've found that everyti the phones away and given them back a better telephone that's clearer or easier to talk over, people use it much more. So they have found that by improving and

Telephone (2)
← Telephone (1) | Telephone is Not the Information (1) →
Index Entry
Telephone:
"owning the technology, not selling it to the people, their earnings have gone up. This working towards service industries is making obsolete one of the great political problems of all history, which is ownership. As man begins to live in much bigger patterns-- much bigger sweepouts and going around-the world-- you find people beginning to rent cars instead of owning them."
- Tape transcript, p.20; RBF to B. Brooks, Phila. Pa., 30 Apr'74

Telephone is Not the Information (1)
← Telephone (2) | Telephone is Not the Information (2) →
Cross Reference
Cross-References

Telephone is Not the Information (2)
← Telephone is Not the Information (1) | Telephone (1) →
Cross Reference
Cross-References
- Communication, Oct'70
- Information, 12 Feb'72
- Democritus, 6 Jun'69
- Human Beings & Complex Universe, (13)(14)

Telephone (1)
← Telephone is Not the Information (2) | Telephone (2) →
Cross Reference
Cross-References

Telephone (2)
← Telephone (1) | Telephotograph to the Brain →
Cross Reference
Cross-References
- Brain's TV Studio, (3)
- Communication, Oct'70
- Copper Sequence
- Economic Accounting System
- Information, 12 Feb'72
- House, 1971
- Self, 1971
- Service Industry, 29 Aug'74
- Tactile Sequence, (4)
- Tools: Craft & Industrial, (2)
- Trespassing: Not Trespassing
- Distribution, 25 Jan'75
- Everybody's Business, (1)
- Teleology, (1)
- Mobile Homes, (1)(2)
- Human Unsettlement, (1)
- Mobile Rentability vs. Immobile Purchasing, 20 Sep'76

Telephotograph to the Brain
← Telephone (2) | Teleportation →
Cross Reference
Cross-References
- Reflection Sequence, (1)(2)

Teleportation
← Telephotograph to the Brain | Telescope (1) →
Cross Reference
Cross-References
- Scan-transmission of Pattern Integrities, 22 Jun'77

Telescope (1)
← Teleportation | Telescope (2) →
Cross Reference
Cross-References
- Satellite: Telescopes Mounted on Satellites
- Sweepout: Spherical Sweepout
- Infoscope

Telescope (2)
← Telescope (1) | Television →
Cross Reference
Cross-References
- Sweepout in Scientific Exploration, 6 Jul'62
- Synergetica, 22 Apr'71

Television
← Telescope (2) | Television: Third Parent →
Index Entry
Television:
"Television is important, not that it has a name, but because it is a way in which man individually has been able-- as a young child-- to get information from around the whole world. The parents used to bring home all the news, Daddy and Mommy. They don't bring home the news now. They come home and the kids tell them what the news is because television is giving it from around the world. And the people who get their jobs in television-- like yourself-- get it by virtue of your diction and your vocabulary and your versatility in using it. So that the authority for the news-- what's going on-- is coming to the young world over the television or the radio, and coming with better diction and vocabulary than the parents usually have. So the child then emulates the communication pattern of those who give him the most reliable information. So it's not a matter of the parents not loving their children or children not loving their parents, but children are now really peeling off and saying intuitively: I see that man can do anything he needs to do; our parents are locally preoccupied, they have apologies and say we can't afford to do that. We see that man can't afford to do anything else but make his world work. That's the spirit of the young people."
- Cite RBF in Edward Newman TV Interview, transcript pp. 38-39, 73

Television: Third Parent
← Television | Television: Third Parent →
RBF Definitions
"... Even the seemingly most steady population is not steady at all, it is all drifting. We have mobilizing world man, he is not vagrant at all, and the degrees of freedom of man have been increasing and his capabilities have been increasing-- he knows about his whole world and each child that is born is born in the presence of less misinformation and in the presence of more reliable information. Particularly the young world with the television, are told about the whole world on the hour, right in their own home. And they hear much more from their third parent (which is what I call the television) than they do from their own parents. Their parents talk about the local things-- local and visual-- and the third parent tells them about the whole world and all the problems of all the world, and is the first to tell them about the inventions, what man can do. Everything extraordinary that man can do, the third parent tells them about that. So they go the the third parent and they find that he has good diction, so we find the young world thinking 'world,' it is the first generation of man to think 'world.'"
Citations
- RBF Address THE HABITABLE CITY, 14 Oct. '69

Television: Third Parent
← Television: Third Parent | Television →
Index Entry
Approximately everything man thought he understood will be useless within the next decade. We are going to develop an environment in which the new generation is so protected from the lovingly administered nonsense of grownups that it can develop naturally just in time to save man from self-annihilation. What I call the third parent, TV, brings the babies half-hourly world news as well as much grownup-authored and discredited nonsense. The student in revolt in California are the first generation of TV-reared babies. They insist on social justice the world around. Imminent change is inexorable.

Television
← Television: Third Parent | Television: TV (1) →
Index Entry
Children looking at TV today see it quite differently from the way we do. It begins to be very much a part of their lives and they accredit it the way we accredit what we get out of our eyes regularly. I am sure that when they are looking at a baseball game, if they are interested in baseball, they are right there in the field. I am now giving you an omnidirectional TV set and there is no way for you to escape it. That is all we have ever lived in. You have been in an omnidirectional TV set all this time and you have gotten so use to the reliability of the information that you now have projected yourself into the field. You insist that you see me out here but you don't. We are all working back here in TV sets.

Television: TV (1)
← Television | Television (2) →
Cross Reference
TV: The TV Generation
Cross-References

Television (2)
← Television: TV (1) | Temperature →
Cross Reference
TV:
Sat, 5 Jul'62
Cross-References
- Communicating, (1)
- Daddy, (1)(2)
- Newspaper, 16 Oct'72
- Weapons Technology, (2)
- Club of Rome: Limits to Growth, (2)
- Seeing vs. Hearing, 22 Jan'75
- Politicians & Defense Budgets, 20 Sep'76

Temperature
← Television (2) | Temperature of the Human Body →
RBF Definitions
Temperature should be thought of as relative heat concentrations or dissipations."
- Citation and context at Cold & Vacuum, (6), 1946

Temperature of the Human Body
← Temperature | Temperature of the Human Body →
Index Entry
Temperature of the Human Body:
"For an instance, the heating of the hydrosphere
Involves the fact that water takes on heat and loses it
At the slowest known rate of all substances.
As a consequence the temperature of the watery mantle
Covering three-quarters of Earth
Vary between such close limits
That the world average temperatures throughout the years
Have varied less than one degree Fahrenheit
Over all the years in which temperatures
Have been recorded around the world.
Within these exquisitely stable electro, thermal, chemical limits
The metabolic regeneration of humans is sustained
As the apparently ultimate focal formulation
Of the metabolic interchangings and intertransformings
Of the total evolution of bio-ecological intercomplementation."
- Cite RBF rewrite of BRAIN & MIND AT p. 113, July'72

Temperature of the Human Body
← Temperature of the Human Body | Temperature of the Human Body (1) →
Index Entry
So delicate are the microclimatic-ecological balances That, humans at all times manifest An internally permeative organic operating temperature Of 98.6 degrees Fahrenheit No matter what their age, Their geographical location, Or their clothing may be. Manifest Number Seven Of Earth's cosmic functioning Is its progressive geological submerging Of the hydrocarbon energy residue concentrates Buried ever more deeply and at increasing pressures either within the Earth's crust, or its hydrosphere, Whereby those biological residues are chemically transformed Into rigid, liquid, or gaseous fossil fuels.
- Cite RBF rewrite of BRAIN & MIND at p.114, July'72

Temperature of the Human Body (1)
← Temperature of the Human Body | Temperature of the Human Body (2) →
Index Entry
"A Sixth Manifest of Earth's Unique celestial scheme functioning Is discoverable as the impoundment Of star energy radiation In both the Earth's atmosphere And in its hydrosphere, Which provides the weather and ocean currents And which maintains the critical temperatures Within which the biological proliferation of metabolic formulations And feedback chemical process exchanges must occur. For an instance, the heating of the hydrosphere Involves the fact that water takes on heat and loses it At the slowest rate of all known substances. The water temperatures of the Earth Vary between such close limits That the average temperatures throughout the years Have varied less than one degree Fahrenheit Over all the years in which temperatures Have been recorded."
- Cite BRAIN & MIND, pp.113-114, May'72

Temperature of the Human Body (2)
← Temperature of the Human Body (1) | Temperature of the Human Body →
Index Entry
Within these exquisitely stable limits
The metabolic regeneration of humans is sustained
As an ultimate focus of the metabolic interchange
And transformations of the total biological ecology complementation.
So delicate are the thermal balances involved
That healthy humans, for instance,
At all times manifest a temperature
Of 98.6 degrees Fahrenheit
No matter what their age,
Their geographical location,
Or their clothing may be.

Temperature of the Human Body
← Temperature of the Human Body (2) | Temperature of the Human Body →
Index Entry
"The only difference between ourselves and hard cold machinery is that we also have these metabolic processes processing energy to be regenerated and these have a by-product heat of 98.6 . . . "
- Citation and context at Human Beings and Hard Machinery, 20Apr'72

Temperature of the Human Body
← Temperature of the Human Body | Temperature of the Human Body (1) →
Index Entry
Temperature of the Human Body:
"Without weight you do not exist physically-- nor without a specific temperature. You can convert the velocity x mass into heat."
- Cite RDF to EJA, 3200 Idaho, Washington DC, 21 Dec. '71.

Temperature of the Human Body (1)
← Temperature of the Human Body | Temperature of the Human Body (2) →
Cross Reference
Cross-References

Temperature of the Human Body (2)
← Temperature of the Human Body (1) | Temperature (1) →
Cross Reference
Cross-References
- Human Beings & Hard Machinery, 20 Apr'72*
- Man as an Invention, 1 Aug'72
- Trees
- Wind Stress & Houses, (8)

Temperature (1)
← Temperature of the Human Body (2) | Temperature (1) →
Cross Reference
Thermal Limits
Cross-References

Temperature (1)
← Temperature (1) | Temple (1) →
Cross Reference
Cross-References
- Quantum Sequence, (3)
- Cold & Vacuum, 1946
- Four-dimensional Reality, 30 Apr'77

Temple (1)
← Temperature (1) | Templ Legislation (2) →
Cross Reference
Cross-References

Templ Legislation (2)
Cross Reference
Templ: Templa:
Cross-References
- Domes, 12 May'77

Temporality
← Templ Legislation (2) | Temporality = Tempo-reality = Time-reality →
Index Entry
Temporality:
"... In our temporal life there will always be some degree of lag or asymmetry which misses the exactitude of the ideal. .. "
- For citation and context see Ideal, 1 Apr '72

Temporality = Tempo-reality = Time-reality
← Temporality | Temporal Temporality →
Cross Reference
Cross-References
- Truth, 22 Jun'75

Temporal Temporality
← Temporality = Tempo-reality = Time-reality | Temporal Temporality (2) →
Cross Reference
Cross-References

Temporal Temporality (2)
← Temporal Temporality | Temporary →
Cross Reference
Cross-References
- Humans, 8 Mar'73
- Ideal, 1 Apr'72*
- Life, 13 Mar'71
- Truth, Jan'72
- Finite Event Scenario, (2)

Temporary
← Temporal Temporality (2) | Temporary →
Index Entry
Temporary:
"Experience is all temporary."
- Citation and context at Absolute Integrity, 4 Nov'73

Temporary
← Temporary | Temporary Realizations →
Index Entry
Temporary:
"The chemical compounds are temporary and have limited associabilities."
- Citation and context at Compound, 13 Mar'73

Temporary Realizations
Cross Reference
Temporary Realizations:
Cross-References
- Things, 19 Feb'72

Temporary (1)
← Temporary Realizations | Temporary (2) →
Cross Reference
Cross-References

Temporary (2)
Cross Reference
Cross-References
- Eternal, 13 Mar'73
- Computers as Specialists, 13 Aug'64
- Absolute Integrity, 4 Nov'73*
- Compound, 13 Mar'73*

Ten
← Temporary (2) | Ten: Modulo 10 →
Index Entry
Ten:
"The ten in 10F^2+2 comes from the 92, 162, 252, 362, etc. sphere shells of the vector equilibrium. Three is nine to the second power; 16 is four to the second power; 25 is five to the second power-- but the second powering has to be times 10, that's the point. And the Plus Two is a constant also."
- Cite RBF to EJA, World Game Workshop, Phila., PA, 22 Jun'75

Ten: Modulo 10
Index Entry
They happened to be enumerating with congruence in modulo 10, which does not include any prime numbers other than 1, 2, and 5. The rational three-ness of the cube in relation to the tetrahedron is not accommodated by the decimal system; nor is the prime seven inherent in modulo 10.

Ten Ten-ness (1)
← Ten: Modulo 10 | Ten: Ten-ness (2) →
Cross Reference
Cross-References

Ten: Ten-ness (2)
← Ten Ten-ness (1) | Tendril Curve (1) →
Cross Reference
Cross-References
- Synergetics, 29 Nov'72

Tendril Curve (1)
← Ten: Ten-ness (2) | Tennis Ball Hits the Big Earth (1) →
Cross Reference
Cross-References

Tennis Ball Hits the Big Earth (1)
← Tendril Curve (1) | Tennis Ball Hits the Big Earth (2) →
Cross Reference
No Local Change
Cross-References

Tennis Ball Hits the Big Earth (2)
← Tennis Ball Hits the Big Earth (1) | Tennyson, Alfred Lord →
Cross Reference
Cross-References
- Intereference, (1)
- Step, 22 Jul'71
- Vectorial Model of Interference, Apr'71

Tennyson, Alfred Lord
← Tennis Ball Hits the Big Earth (2) | Tensed String →
Cross Reference
Tennyson, Alfred Lord:
Cross-References
- Advertising, 28 Apr'71
- Custom: Lest One Good Custom Do Corrupt the World, (1)

Tensed String
← Tennyson, Alfred Lord | Tensegrity →
Cross Reference
Cross-References
- Pythagoras, (1)(2)
- Quarks, 22 Jun'77
- Mites & Quarks as Basic Notes, (2)(3)

Tensegrity
← Tensed String | Tensegrity →
Index Entry
Tensegrity:
"Engineers agree that tensegrity is operative but they are only permitted by their art to calculate the compression components. We will have to get hydraulic and pneumatics engineers to develop tensegrity accounting. There probably are compression limits in liquids but we don't know what they are as yet; but there are no limits to tension structuring. The functions are limit and limitless: the hard compression of a stone vs. the low pressure of truck tires which are low pressure because the loads are evenly distributed."
- Cite RBF at Penn Bell videotaping, Philadelphia, 28 Jan'75

Tensegrity
Index Entry
Tensegrity:
"Synergetics identifies tensegrity with high-tension alloys, pneumatics, hydraulics, and load distribution."
- Citation and context at Apple, 10 Nov'73

Tensegrity
Index Entry
Tensegrity:
"It is also not surprising, therefore, that Universe islands its spherical compression aggregates and coheres the whole exclusively with tension; discontinuous compression and continuous tension: I call this tensional integrity of Universe tensegrity."
- Cite RBF marginalis on SYNERGETICS galley at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-640.22640.22, 9 Nov'73

Tensegrity
Index Entry
The kinetically interbalanced behaviors of tensegrity systems manifest discretely and elucidate the energy-interference-event patternings that integrate to form and cohere all atoms. The tensegrity system is always the equilibrious-balance phase, i.e., the omnipotential-energy phase visually articulate of the push-pull, in-and-out-and-around, pulsating and orbiting, precessionally shunted reangulations, synergetically integrated.

Tensegrity
Index Entry
"The word tensegrity is an invention: it is a contraction of tensional integrity. Tensegrity describes a structural-relationship principle in which structural shape is guaranteed by the finitely closed, comprehensively continuous, tensional behaviors of the system and not by the discontinuous and exclusively local compressional member behaviors. Tensegrity provides the ability to yield increasingly without ultimately breaking or coming asunder."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-700.011700.011; 14 Oct'72

Tensegrity
Index Entry
Tensegrity:
"Tensegrity is a confluence of optimum factors."
- Cite RBF to HUD Engineers, Washington, 26 Jan '72

Tensegrity
Index Entry
Tensegrity:
Synergetics has discovered "the identification of tensegrity with pneumatics and hydraulics-- it's load distribution, that's the point."
- Cite RBF to EJA re SYNERGETICS Draft. Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-251.19251.19, 20 Dec. '71.

Tensegrity
Cross Reference
Tensegrity:
"The increasing ability to give without breaking."
CORRECTED by RBF, Beverly Hotel, New York, 19 June 1971
to read as follows, (See Synergetics draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-615.01615.01)
"Tensegrity provides the ability to yield increasingly
without ultimately breaking or coming asunder."
- Observation to E.J.A. in Mayflower Hotel
some time in 1969.

Tensegrity
Index Entry
Tensegrity:
"The 12-spoke wire wheel. . . opposes turbining or torque members. Universal joints of two axes or three axes are analagous to the wire wheel as a basic system relying on the differentiation of tension and compression for its effectiveness. These all may be considered basic tensegrity systems."
(Adapted.)
- Cite SYNERGETICS ILLUSTRATIONS- caption #10 1967

Tensegrity
Index Entry
Tensegrity:
"'Tension,' 'integrity,' discontinuous-compression,
discontinuous-tension system."
- Cite RBF Glossary of Terms
bound with "The Live Book Squad"
1967

Tensegrity
Index Entry
Tensegrity:
"Tensegrity. The word is an invention: it is a contraction of a tensional integrity, a structure the shape of which is guaranteed by the tensional behaviors of the system, and not by the compressional behaviors."
- Cite MEXICO 63 p. 28; 10 Oct'63

Tensegrity
← Tensegrity | Tensegrity (1) →
Index Entry
Tensegrity:
"Now we come to the first structures that we call tensegrity structures-- discontinuous compression, continuous tension-- in which the coherence of the whole is explained by the tension, and the compressions are local islands."
- Cite Oregon Lecture #5, p. 176. 9 Jul'62

Tensegrity (1)
← Tensegrity | Tensegrity (2) →
Index Entry
Tensegrity:
"Then I had also one day gone into the faithfulness of our experience where I said you could not have two actions going through the same point at the same time and we had come to the discovery of the tensegrity structures which had not been the kind of structures that men had tended to think of in the early days. We saw that they had come to a concept of a solid Earth, a solid brick and brick on brick as apriori-- an d from time to time they might help hold things together by throwing in a little tension, maybe bind the things together in tension as a barrel is a tensional thing and they put some hoops around it to hold it together, but primarily you start with the compressional interrelationship, compressional mass helped by the staves in tension-- tension is secondary. Then we found when we tried to differentiate tension and compression in thinking of structures in Universe that apparently the macrocosm and microcosm were something that you might call tensionally cohered. They were at least discontinuous compression. The compression members did not touch one another and the Earth did not ball-bearing around on Mars and this was true in the nucleus. We came to a really different kind of a structure in which the tensegrity principles seemed to coincide with the structuring of Universe--"

Tensegrity (2)
← Tensegrity (1) | Tensegrity (3) →
RBF Definitions
-- both macrocosmically and microcosmically, and we find that whereas man seemed to be blind in employing it at his everyday level, we found that we could make the tensegrity stuructures which did make it possible to operate that way in the everyday level and we found the tensegrity structures satisfied our conception that we could not have the two events going through the same point at the same time because we had divergences of these vectors but they never actually got together. They get in critical proximities, twist by each other, but go on. We found that the tensegrity structures also occurred at certain levels. You can't make anything in tensegrity but there are certain geometries which appeared ... and they were all fashionable methodically in tensegrity." - Cite Oregon Lecture #8, pp. 279-280. 12 Oct '62

Tensegrity (3)
← Tensegrity (2) | Tensegrity →
Index Entry
Tensegrity:
" I have given you some of these measurements where we looked at tetrahedra and octahedraand so forth as if the edges were coming discretely together at one point in the Platonic way of looking at a solid. We have also realized that if we looked at any of these micrscopically that the ends are pretty well twisted and we discovered that we could make all the same figures with the tensegrities and we realize that the gap in thetensegrities can be visual. As I began to show by further experiment we get to the point where they go below resolution by the ever remembering human eye which can only go down to resolving distances to about one-hudredth of an inch and below that we don't see the distances between them. We don't see the distances between the points any more. We see a set of black points on a white field, and when they get below a certain point they run together. That is what the printers learned with the Benday screen-- you can develop what seemed to be continuous form, continuous surface, and so the colors, grays and various colors we speak of as color, but we can't see the intervals between the waves or the occurrence of frequency of their components. I saw then that the tensegrity structures did go down into nonvisible gaps. . ."

Tensegrity
← Tensegrity (3) | Tensegrity →
Index Entry
Tensegrity:
"I saw then that the tensegrity structures did go down into nonvisible gaps. . . simply down to where I don't see the space between the critical proximity of the converging lines--but every time I magnify it. . . I find they really are not coming together. We get into bubble experiments and every kind of physics experiments and we find that every time we get lines tending to converge they always seem to do some kind of twisting around each other and they don't come through the same point."
- Cite Oregon Lecture #8, p.280. 12 Oct '62

Tensegrity
Index Entry
Tensegrity:
"All structures are tensegrity structures from the solar system to the atom."
- Cite OREGON Lecture #6 - p. 197, 10 Jul'62

Tensegrity
Index Entry
Tensegrity:
"Tensegrity structures are pure pneumatic structures and pneumatic structures are doing what they do at the subvisible range." (Adapted.)
- CITE OREGON Lecture #5 - p. 189, 9 Jul'62
TENSEGRITY - SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-650.10650.10

Tensegrity
RBF Definitions
"In a tensegrity system . . . if you just tauten one point all the parts of it tune the same. Every part is a non-redundant system. If you tighten it, it tunes up. The tension goes up and the frequency goes up-- but it goes up uniformly all over. It gets to be an extremely rigid structure but it is a nonredundant structure. Anything that we would really call rigid such as one of the atoms of very high integrity pattern is explained by this type tensegrity patterning."
Citations
- Oregon Lecture #5, p. 178. 9 Jul'62

Tensegrity
← Tensegrity | Tensegrity Basic Tensegrity Structures Three and Only →
Index Entry
Tensegrity: Basic Tensegrity Structures: Three and Only:
"Now you see these same six members as they transform in relation to each other. They go from the tensegrity icosahedron through the tensegrity octahedron phase and finally become the tensegrity tetrahedron. The same six members can transform from containing one volume to containing 18.51 volumes. The same six members transform through the full range of the three and only fundamental structures of nature. What I am showing you here are the principles actively operative in atomic nucleus behavior in visual intertransformations. There are very extraordinary qualities in these structures. The tensegrity tetrahedron and tensegrity octahedron are volumetrically complementary and together will fill all space, but the tensegrity icosahedron refuses to complement the tetrahedron or octahedron but isolates itself in space or goes on to make up triple-bondedly into large octahedra which may then complement tetrahedra to fill all space,"
- MEXICO Address, 10 Oct '63, p. 35 (Illustration D-1-123)
TENSEGRITY- \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-652.20652.20+21

Tensegrity Basic Tensegrity Structures Three and Only
← Tensegrity | Tensegrity Clothesline (1) →
Cross Reference
Tensegrity: Basic Tensegrity Structures: Three and Only:
Cross-References

Tensegrity Clothesline (1)
← Tensegrity Basic Tensegrity Structures Three and Only | Tensegrity Clothesline (2) →
RBF Definitions
Surprising behaviors are found in tensegrity structures. The illustration shows a house and a tree and a clothesline. The line hangs low between the house and the tree. To raise the line so that the clothes to be dried will not sweep the ground, the line is elevated by a pole that has one end thrust against the ground and the other end pushed outwardly against the line. The line tightens with the pole's outer end at the vertex of an angle stretched into the line. The line's angle shows that the line is yielding in the direction away from the thrusting pole. "As the clothesline tightens and bends, it always yields away from the pushing strut. In spherical tensegrity structures the islanded compression struts pull the tension lines to angle toward the strut ends. "When we release a compression member from a tensegrity sphere, one end does not thrust by the tension member to which it was fastened in a circumferential direction. It was not fastened in thrust or shear. It was not pushing circumferentially. It was resisting being compressed, and like a cork in"

Tensegrity Clothesline (2)
← Tensegrity Clothesline (1) | Tensegrity →
Index Entry
Tensegrity Clothesline:
"a bottle, it was employing its frictional contact with the tension net at both its ends to resist its only tendency, which was to exit radially outward from the system's center."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-712.03712.03, 19 Oct'72

Tensegrity
← Tensegrity Clothesline (2) | Tensegrity Clothesline (1) →
Index Entry
Tensegrity: Clothesline:
"Here we are looking down from the air onto a house
and there is a tree by the house and here is the clothes-
line. And in order to keep the clothes line off the ground,
you put a couple of struts against the clothes line sag.
So you put a strut this way and one that way. That is the
natural shape it takes. That is what you expect it to
take. It can't take anything else, but the tensegrity
structure here is a red strut, and you think it ought to
push the line the way this one does. Not at all; it
pulls on the line and the one coming the other way pulls
on the line so in a tensegrity structure tension members
yield to the compression members. The compression
members were trying to fly apart like bricks, they are
pulling the tension members and not pushing them. This is
one of the most interesting characteristics of a tensegrity
structure."
(RBF Comment on SLIDE 4:1-3)
- Cite OREGON Lecture #5 - pp. 184-185,9 Jul'62
TENSEGRITY - (EXTRACT) SEL \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-712.01712.01-63

Tensegrity Clothesline (1)
← Tensegrity | Tensegrity: Depolarized Orientation of Tensegrity-Octahedron Universal Joint (1) →
Cross Reference
Cross-References
- Tension, (1)

Tensegrity: Depolarized Orientation of Tensegrity-Octahedron Universal Joint (1)
← Tensegrity Clothesline (1) | Tensegrity (2) →
Index Entry
Tensegrity: Depolarized Orientation of Tensegrity-Octahedron Universal Joint:
"I had been ransacking the tensegrity concepts using the multiple-rimmed, parallel or concentric wire-wheel phases of tensegrity since 1927, in the multi-decked 4-D mast structures and the Dymaxion house. . . Despite the fact that I called it the 4-D house-- for fourth dimensionality-- was a polarized, i.e., single-axis system of three dimensionality, with equatorial and latitudinal compressional atolls, isolated from one another in parallel in the comprehensive triangulated tensional network." But "I had been unable to integrate" synergetic geometry "and three-dimensional tensegrity.. . thus to discover multi-dimensional four, five, and six axes symmetrical tensegrity. I had realized that the two-axis universal joint, long known to man and often employed by mechanics as a flexible membrane-- sandwiched between two diametrically opposed yoke-ended shafts, with yoke planes symmetrically oriented at ninety degrees to one another-- constituted an octahedral tensegrity, but its shafted axes tended to make it appear as a single axis system similar to the hexagonal-wheeled Dymaxion house."
- Cite "Tensegrity," FOzfFOLIld + nkT nkiSS, p.121, Dec '61

Tensegrity (2)
← Tensegrity: Depolarized Orientation of Tensegrity-Octahedron Universal Joint (1) | Tensegrity (3) →
Index Entry
Tensegrity: Depolarized Orientation of Tensegrity-Octahedron Universal Joint:
"In 1948 Kenneth Snelson showed me a sculptural construct embodying a cantilevered strut of octahedra, accomplished with tensegrity applied to the mechanics' universal joint octahedra, reoriented from their shaft axes to a parallel plane alignment. Though Snelson thought of this only as a unique art form and was apprehensive to my aversion to artistic exploitation of energetic geometry (I have shunned the daily recurrent opportunities to exploit the energetic-synergetic geometry either as toys or objets d'art), he was eager for me to witness his discovery of a novel and exciting structure. His depolarized orientation of the tensegrity-octahedron universal joint catalyzed my comprehensive integration of the whole hierarchy of mathematical interrelationships of my tensegrity structures with my energetic-synergetic geometry and its multi-dimensional, multi-axial symmetry."
Cite "Tensegrity," PORTFOLIO + ART NEWS, p. 121, Dec. '61

Tensegrity (3)
← Tensegrity (2) | Tensegrity Geodesic Grid: Three-Way Grid →
Index Entry
Tensegrity: Depolarized Orientation of Tensegrity-Octahedron Universal Joint:
"My initial harvest of mathematical structures produced by this new conceptual tool was a family of four tensegrity masts characterized by vertical side-faces of three, four, five, and six each, respectively. The three and four sided masts consisted of discontinuous compression islands of tetrahedral strut groups mounted only in tension one above the other, while the five and six sided masts consisted of local islands of icosahedral and octahedral strut groups mounted vertically above one another, again only by tensional connectors."
- Cite "Tensegrity," PORTFOLIO + ART NEWS, pp. 121-122, Dec. '61

Tensegrity Geodesic Grid: Three-Way Grid
← Tensegrity (3) | Tensegrity Geodesic Grid Three-way Grid →
Index Entry
"That is also exactly what happens in a three-way grid tensegrity geodesic spherical grid. In the balloon we get paths of these positively and negatively paired, kinetic molecules reacting from one another in a random set of directions. If they went into one path only they would make a single circle which would push the balloon outwardly only at its equator making a disc and allowing the poles to collapse. If they made a two-way stack of parallel lesser circles as a cylinder, the cylinder would contract axially into a disc. A two-way grid would make only unstable squares and diamonds which would elongate into a tubular snake. But once we have three or more sets of angularly independent circularly continued push-pull paths, they must inherently triangulate by push-pull stabilization of opposite angles. Triangulation means self-stabilizing; which creates omnidirectional symmetry; which makes an inherent three-way spherical symmetry grid; which is the geodesic structure."

Tensegrity Geodesic Grid Three-way Grid
← Tensegrity Geodesic Grid: Three-Way Grid | Tensegrity: Unlimited Frequency of Geodesic Tensegrities (1) →
Cross Reference
Cross-References

Tensegrity: Unlimited Frequency of Geodesic Tensegrities (1)
← Tensegrity Geodesic Grid Three-way Grid | Tensegrity: Unlimited Frequency of Geodesic Tensegrities (2) →
RBF Definitions
Tensegrity: Unlimited Frequency of Geodesic Tensegrities: (1)
"We have in the geodesic tensegrity the ability to assemble
unprecedentedly large clear-span structures whose overall
diameter dimensions are limited only by the relative alloyed
coherence of the associated metallic atoms therein involved,
whose improving coherences are in swiftly multiplying
metallurgical evolution augmentation. We can go therefore
into the same magnitudes of clear-spanning dimensions as
our largest suspension bridges. As these bridges demonstrate
the continually improving tensile capabilities of constantly
improving alloys, one could now be made twice the size of
the Golden Gate Bridge. We may, therefore, consider clear-span geodesic tensegrity spheres in the magnitude of two
miles diameter as now realizable for use as satellite environment controls; or as hemispherical, or other spherical segment,
Earth contacting enclosures (in which the Earth completes
the sphere) e.g., for arctic city environment controls or
as water floatable enclosures."[LABORATORY APPEARS IN I & II, p. 170]
Citations
- "Tensegrity," PORTFOLIO + ART NEWS, p.123, Dec. '61

Tensegrity: Unlimited Frequency of Geodesic Tensegrities (2)
← Tensegrity: Unlimited Frequency of Geodesic Tensegrities (1) | Tensegrity (3) →
RBF Definitions
Tensegrity: Unlimited Frequency of Geodesic Tensegrities: (2)
"Suspension bridge cables are parallel to one another, and therefore give one another no more anti-rhombic structural stability aid than do the parallel tension wires of a barrel. In geodesic tensegrities all the tension members cross one another in great-circle chorded triangulations, thus providing highest possible dimensional stability. For several well-known reasons there are ways in which geodesic tensegrity spheres can be made to provide diameters way in excess of the currently greatest suspension bridge span:
(1) We know that the progressive subdivision of a given metal fiber into a plurality of fibers, provides tensile capabilities of the smaller fibers at increased magnitudes up to hundreds and thousandsfold that of the unit section. This is because of the increased surface-to-mass ratios and because all tensile capability is apparently invested in the surfaces.
(2) The geodesic tensegrity spheres are capable of mathematical treatment in such a manner as to multiply the frequency of triangular modular subdivision in an orderly second power progression and formulaic control."

Tensegrity (3)
← Tensegrity: Unlimited Frequency of Geodesic Tensegrities (2) | Tensegrity →
Index Entry
"We now have the ability to introduce the above orderly mathematics into the computer, which permits of practical calculation and engineering feasibility previously non-existent. This ability, combined with the fact that the higher the frequency the smaller the tensional sectional area (yet the higher the tensional capability, and the smaller the local islands of compression) allows us to state that the higher the frequency, the more ephemeral the tensegrity complex becomes. Also, then, the total weight of the structure required per given level of performance grows smaller, and the whole structure becomes less vulnerable to total violations by any, or many, inwardly or outwardly originating impinging forces."
[This rep't was 1st typ'd 172]
- Cite "Tensegrity," PORTFOLIO + ART NEWS, p.123, Dec '61

Tensegrity
← Tensegrity (3) | Tensegrity →
Index Entry
Tensegrity: Unlimited Frequency of Geodesic Tensegrities:
"When we introduce the tensegrity structure and its many surprises, we see that we have broken through to a structural knowledge and technique which permits a progressively decreasing relative weight of structure as proportioned to the linear gain. This is to say, the gain of weight in structures, as ratioed to basic linear dimensions, is as one is to one minus1/x weight ratio as the same structure is multiplied in relative size.
In the above progression, as frequencies go up, the sizes of the islands of compression diminish. Islands of compression are the only residual 'solids' and their diminishing size diminishes their relative weights at a cube root progression of advantage. Halving the size of a solid spar reduces its *** relative weight by eight. Halving the size of a hollow spar reduces weight by a factor of approximately four."
[This term in 1-I ,pp 171-172]

Tensegrity
Index Entry
"The higher the frequency the greater the proportion of the structure which is invested in tensional components. Tensional components are unlimited in length as proportioned to section ratios. As we increase the frequency, each tension member is parted into a plurality of fibers, each of whose strength is multiplied many-fold per unit of weight and section. If we increase the frequency many times, the relative overall weight of structures rapidly diminishes, as ratioed to any given linear increase, or even to any fixed linear increase, in overall dimension of structure. The only limit to frequency increase is the logistic practicality of more functions to be serviced, but the bigger the structure, the easier the local treatability of high-frequency components. In contrast to all previous structural experience, the law of diminishing return is operative in the direction of decreasing size of geodesic tensegrity structures and increasing return in the direction of their increasing dimensions."
- Cite "Tensegrity," PukTFO110 + ART NEWS, p.124, Dec. '61

Tensegrity
← Tensegrity | Tensegrity Unlimited Frequency of Geodesic Tensegrities →
Index Entry
"If the frequency is high enough the size of the interstices of the tensegrity net may become so relatively small as to arrest the passage of any phenomena larger than the holes. If frequency is high enough, neither water nor air molecules can pass through. They may be made to keep out the weather complex while admitting radar's microwaves and light, etc. If we 'up' the frequency sufficiently we will decrease the residual compressional islands to the microcosmic magnitude of atoms, which only serves to disclose that the atoms and their nuclei are themselves geodesic tensegrity structures, ergo compatible with this ultimate frequency limit-- a fact that is now swiftly looming into the nuclear physicist's ken.
"We now comprehend that the tensegrity geodesic structuring provides the first true and visualizable model of pneumatic structures in which the relative thickness of the enclosing films, in proportion to diameter, rapidly decreases with the increasing size of the balloons."
- Cite "Tensegrity," PORTFOLIO + ART NEWS, p. 124, Dec. '61
TENSEGRITY- SECS. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-655.20655.20-21-22

Tensegrity Unlimited Frequency of Geodesic Tensegrities
Index Entry
Tensegrity: Unlimited Frequency of Geodesic Tensegrities: (7) "In the case of geodesic tensegrity structures no overcrowding of interior gas molecules, imprisoned within a submolecular mesh net, is necessary to thrust the net's structure outward from its spherical geometric center, because the compressional struts, locally islanded, as outward thrusting struts at both their ends, push the spherical net outwardly at every vertexial advantage of network convergence. Geodesic tensegrities are then 'hollowed-out' balloons, discarding their redundantly 'solid' air core. "The geodesic tensegrity is a hollowed out balloon in which those specific molecules of gas which happen to be impinging from within against the skin at any one moment (thus pushing it outwardly) are replaced by the islanded geodesic struts. It is possible then to sew pockets on the inside surface of a balloon skin corresponding in pattern to the islanded geodesic struts, and to insert stiff battens into those pockets which cause the otherwise limp balloon bag to take spherical shape as it would if filled with a pressured-in gas.

Tensegrity
← Tensegrity Unlimited Frequency of Geodesic Tensegrities | Tensegrity: Unlimited Frequency of Geodesic Tensegrities →
Index Entry
Tensegrity: Unlimited Frequency of Geodesic Tensegrities:
"Local stiffeners of skin suitable to preferred activities, at any structural focus, can be had by increasing the inward-outward angular strut depths and the local surface frequency patternings as well as by multi-layerings of surface truss frequency-- thus thickening the truss depth without weight penalties. Here we have nature's own trick of local stiffening as accomplished by the higher frequency 'closest packing' pattern of isotropically moduled, local cartilages and even higher frequency local bone structuring, as ratioed to the frequency of tissue cells of animal flesh.
"If we employ hydraulic pressure within the local islands of compression for dimensional stability, and gas molecules between the liquid molecules for local compressibility, ergo, flexibility, we will find that our geodesic tensegrity structures will, in every way, have taken advantage of the same structural strategy principles employed by nature in all her sizes of biological formulations."
- Cite "Tensegrity," PORTFOLIO+ART NEWS, p. 125, Dec. '61
TENSEGRITY - SECS. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-655.25655.25 +26

Tensegrity: Unlimited Frequency of Geodesic Tensegrities
← Tensegrity | Tensegrity Icosahedron (1) →
Index Entry
"Geodesic tensegrities are true pneumatic structures in purest designed frequency principle without the disadvantage of the randomness and redundancy accruing to the inherit (sic) designer-ignorances (which have only just happened to be successful), when depending on subvisible chemical structure' behaviors, through the separation of all the components into two majorly opposed magnitude classes, of all the outward bound things that are too large to pass through all the inward-bound net holes that are in the class that are too small. This is the same kind of redundancy that occurs in reinforced concrete which, if drilled out wherever redundant components exist, would disclose an orderly four-prime magnitude-complex, octa-hedron-tetrahedron truss network disencumbered of more than 50 percent of weight. Tensegrity geodesic spheroids have none of the portal pressurelock problems of 'solid-oozing' pneumatic balloons. The pressure is discretely localized and locked in place by the tension net, ergo cannot escape. Tensegrity geodesic spheroids may have several frequencies simultaneously-- a low frequency major web and a high frequency minor local web. If they are of sufficiently high frequency of secondary or minor webbing to exclude atmospheric molecules, they may be partially vacuumized, ergo made air-floatable."
- Cite "Tensegrity," PORTFOLIO + ART NEWS, p. 125, Dec. '61

Tensegrity Icosahedron (1)
← Tensegrity: Unlimited Frequency of Geodesic Tensegrities | Tensegrity Icosahedron (2) →
Index Entry
Tensegrity Icosahedron:
"The six-strut tensegrity icosahedron consists of three sets of parallels with their ends held together in tension. If a pair of three-strut tensegrity octahedra are mildly reorganized in asymmetrical form, they may be combined in two sets of three struts each to form the tensegrity icosahedron. There are 12 terminals of the six struts (the two octahedra combines-- each with three struts of six ends) and when 12 terminals are connected up, the 12 vertexes of the icosahedron appear. There are 20 equilateral triangles of the icosahedron clearly described by the tension members connecting the 12 vertexes in the most economical omnitriangulated pattern."

Tensegrity Icosahedron (2)
← Tensegrity Icosahedron (1) | Tensegrity_Icosahedron (3) →
Index Entry
Tensegrity Icosahedron:
"There are six tension members which join parallel struts to each other. If these tension members are removed from the icosahedron, only eight triangles remain from the original 20. These eight triangles are the eight transforming triangles of the 'jitterbug.' Consequently this 'incomplete' icosahedron demonstrates an expansion-contraction behavior similar to the 'jitterbug' although more restricted.
"If two opposite and parallel struts are pushed or pulled upon, all six members will move inwardly or outwardly causing the icosahedron to contract or expand in a symmetrical fashion. When this structure is fully expanded it is the regular icosahedron and it becomes, in its contracted state, an icosahedron bounded by eight equilateral triangles and 12 isosceles triangles (when the missing six tension members are replaced). All the 12 vertexes may recede from the common center in perfect symmetry of expansion, or, if a concentrated load is applied from without, the whole system contracts symmetrically, i.e., all the vertexes move toward their common center at the same rate."

Tensegrity_Icosahedron (3)
← Tensegrity Icosahedron (2) | Tensegrity Icosahedron →
RBF Definitions
(3)
"This is not the behavior we are used to in structures of
our previous experiences. These compression members do not
behave like conventional engineering beams. Ordinary beams
deflect locally or, if fastened terminally in tension to
their building, tend to contract their buildings in axial
asymmetry. The tensegrity 'beam' does not act independently
but acts only in concert with 'the whole building,' which
contracts only symmetrically when beam is loaded. The
tensegrity system is synergetic: a behavior of the whole
unpredicted by the behavior of the parts. Old stone-age
columns and lintels are energetic and only interact locally
with whole buildings. The whole tensegrity icosahedron
system, when loaded, contracts symmetrically, and because
of this its parts get symmetrically closer to one another;
therefore gravity increases as of the second power and
the whole system gets uniformly stronger. This is the way
atoms behave."
Citations
- Synergetics Illustration "82, caption. 1967 TENSEGRITY SECS \href{https://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-652.54}{652.54} + 55

Tensegrity Icosahedron
← Tensegrity_Icosahedron (3) | Tensegrity Icosahedron Tensegrity →
Index Entry
"A six-strut tensegrity tetrahedron can be transformed by changing the distribution and relative lengths of its tension members to the six-strut icosahedron.
"A theoretical three-way coordinate expansion can be envisioned with three parallel pairs of constant length struts in which a stretching of tension members is permitted as the struts move outwardly from a common center. Starting with a six-strut octahedron the structure expands outwardly going through the icosahedron phase to the vector equilibrium phase. When the structure expands beyond the vector equilibrium, the six struts become the edges of the figure; they consequently lose their structural function (assuming the original distribution of tension and compression members remains unchanged). As the tension members become substantially longer than the struts, the struts tend to approach relative zero and the overall shape of the structure approaches a super octahedron."
- Cite SYNERGETICS ILLUSTRATION # 83, caption. 1967

Tensegrity Icosahedron Tensegrity
← Tensegrity Icosahedron | Tensegrity Icosahedron →
Index Entry
Tensegrity: Icosahedron Tensegrity:
"The six-islanded strut icosahedron tensegrity and its all-space-filling, closest-packing capability provides omni-equi-optimum economy tensegrity universe structuring."
- Cite "Tensegrity," PORTFOLIO + ART NEWS, P. 122, Dec. '61

Tensegrity Icosahedron
← Tensegrity Icosahedron Tensegrity | Tensegrity →
Index Entry
Tensegrity Icosahedron: Volumetric Comparison With Tetra + Octa:
"In the first of the fairly large geodesic spheres which were built by the tensegrity principle we used the spherical icosahedrons because they provide by far the most volume with the least structural effort of the three basic structural systems. The tetrahedron has the least volume with the most surface; the octahedron is in the middle; and the icosahedron gives the most with the least.
"Six vector struts make one unit of quantum corresponding to the six edges of the tetrahedron.
"In the icosahedron five units of quanta give 20 units of enclosed volume which means four units of volume for each unit of energy quantum invested in the enclosing structure, whereas in the tetrahedron one unit of quantum will structurally enclose only one unit of volume. The octahedron gives you two units of volume for each quantum unit. The icosahedron gives four units of volume for each unit of quantum enclosing the structure. Therefore, the icosahedron gives you the most for the least effort."
- Cite Tel Aviv Address, Dec '67
TENSEGRITY - SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-652.22652.22 +23

Tensegrity
← Tensegrity Icosahedron | Tensegrity: Miniature Tensegrity Masts →
Index Entry
Tensegrity: Interstabilization of Local Stiffeners:
"Of first interest to engineers and artist-conceivers is the fact that my potential prototypes of satellite- and moon-structures are tensional integrity, omnitriangulated, high-tensile-cabled, spherical nets in which local islands of compression act only as local sprit-stiffeners. The local stiffeners are so oriented that they angle inwardly and outwardly between comprehensively finite, exterior and interior, tensional, spherical nets thus producing positive and negative waves of action and reaction in interstabilized dynamic equilibrium."
- Cite "Tensegrity, PORTFOLIO AND ART NEWS, Dec '61, p.117

Tensegrity: Miniature Tensegrity Masts
← Tensegrity | Tensegrity: Miniature Tensegrity Masts →
Index Entry
The tensegrity masts can be substituted for the individual (so called solid) struts in the tensegrity spheres. In each one of the separate tensegrity masts, acting as struts, in the tensegrity spheres it can be seen that there are little (so called 'solid struts.' A miniature tensegrity mast may be substituted for each of those 'solid struts.' The sub-miniature tensegrity masts within the tensegrity struts of the tensegrity sphere and a sub-sub-miniature tensegrity mast may be substituted for each of these 'solid' struts, and so on, to sub-sub-sub-subminiature tensegrities until we finally get down to the size of the atom and this becomes completely compatible with the atom for the atom is tensegrity and there are no 'solids' left in the entire structural system. There are no solids in structures; ergo, no solids in Universe. There is nothing incompatible with what we may see as structure at the visual level and what we are finding out to be the structural relationships in nuclear physics.

Tensegrity: Miniature Tensegrity Masts
← Tensegrity: Miniature Tensegrity Masts | Tensegrity: Miniature Tensegrity Masts →
Index Entry
Tensegrity: Miniature Tensegrity Masts:
"Going back to these spheres of the 270 struts and the 90 struts, looking at any of those struts you can see that you could substitute for it one of the tensegrity masts. There is nothing to keep you from doing that. It is simply that each of the members are smaller, each of the struts get smaller. Then as you look at each strut in the tensegrity mast you can make a little miniature tensegrity mast to replace it. So now it is going to be getting pretty small with these struts but you look at it and you make a very beautiful miniature miniature. Every time you see a strut you make a miniature tensegrity mast and substitute it for the previous one. Finally by substitution you get down to the size of the atom and this is perfectly compatible, because this is the discontinuity; this is the structuring of the atoms. There you are in the discontinuous compression, continuous tensions where you are simply in the energy islands in high concentration of tensional coherences. Finally this kind of structuring becomes completely explicable by the atom and yet we have

Tensegrity: Miniature Tensegrity Masts
← Tensegrity: Miniature Tensegrity Masts | Tensegrity: Miniature Masts: Positive and Negative →
Index Entry
Tensegrity: Miniature Tensegrity Masts:
"It was obvious that each of the seemingly 'solid' compression struts in these island complexes could be replaced by miniature tensegrity masts (of any of these four types) and for the miniature struts in the miniature tensegrity masts, subminiature tensegrity masts could also be substituted. By such process of progressive substitutions in diminishing order of sizes, a final sub-subminiature stage of tensegrity mast would be substituted for the last stage of seemingly 'solid' struts, i.e., at a size magnitude of a single atom's structural diameter. At this stage of local miniaturization, the inherent discontinuous-compression, tensional integrity of the non-solid atomic structures themselves would coincide with the overall structuring principle of the whole series of masts-within-masts complex. This eliminates any further requirement of the now utterly obsolete conception of 'solid' anything-- as intervening in the man-tuned sensorial ranges between macro- and micro world of ultra- and infra-sensorial tensegrity. My demonstration of the stable structural supporting capability of such man-witnessable tensegrity masts thus eliminated any further requirement of any 'solid' conception whatsoever."

Tensegrity: Miniature Masts: Positive and Negative
← Tensegrity: Miniature Tensegrity Masts | Tensgrity Masts: Pentagonal Polarity →
Index Entry
These were now demonstrable as consisting of both positive and negative tensegrities, simultaneously employed. Whereas either the positive or the negative tensegrity mast would independently provide the same overall compressional strut capability as did the two together, obviously either the positive or the negative tensegrity within the 'solid' combination must be doing all the 'strut' work at any one time-- the other is entirely superfluous, ergo redundant. Their alternate capabilities, being approximately equal, would alternately tend to exchange the loading task, thus generating an oscillating interaction of positive vs. negative load transferral which would expend the energies of their respective structural integrities, thus tending to self-interdeterioration (crystallization) of their combined alternating strut functioning longevity of structural capability.
- Cite "Tensegrity," PORTFOLIO + Art NEWS, p.122, Dec '61
TENSEGRITY- SECS. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-654.61654.61 +02.

Tensgrity Masts: Pentagonal Polarity
← Tensegrity: Miniature Masts: Positive and Negative | Tensegrity Mast →
Index Entry
Tensgrity Masts: Pentagonal Polarity:
"The crossed-spiral, vector-strut, tubular-shaped structures occurring when the pentagonal poles of the spherical form (hex-pent sphere) are released, consist of five-edged spirals countering each other--with one turbinedly dominant.
"This structure corresponds to one which is produced as a tensegrity mast. Since we are dealing with nature's maximum limit number of equilength vector struts, the same wavelength, frequency, and resonance conditions obtain."
"We are comprehending here the spherical geodesic protein shells of the DNA-RNA tetrahelix tubular-shaped, internal structuring logic."
- Cite RBF Ltr. to Glenn Dewar, 27 Dec'76

Tensegrity Mast
← Tensgrity Masts: Pentagonal Polarity | Tensegrity Model of Self-interference of Energy →
Cross Reference
Cross-References

Tensegrity Model of Self-interference of Energy
← Tensegrity Mast | Tensegrity Model of Self-interference of Energy →
Index Entry
Tensegrity Model of Self-interference of Energy:
"In working out this business of the octahedron as an
annihilation model I've just come to realize that this relates
very closely to what we have in the chapter on tensegrity
about the reciprocal behaviors of pneumatics and hydraulics.
"The molecules find their own great circles and then develop
their own intertriangulation. Here we have an interference
pattern where energy can interfere with itself. It is a
tensegrity pattern, a making of knots. Tensegrity is a model
of how energy-as-radiation can shunt itself inwardly to make
matter."

Tensegrity Model of Self-interference of Energy
← Tensegrity Model of Self-interference of Energy | Tensegrity: Octa-Tensegrity →
Cross Reference
Cross-References

Tensegrity: Octa-Tensegrity
← Tensegrity Model of Self-interference of Energy | Tensegrity Octahedron (2) →
Index Entry
Tensegrity: Octa-Tensegrity:
"The three-islanded octa-tensegrity, in positive and negative phases, is fundamental to all tensegrity structures."
- Cite "Tensegrity," PORTFOLIO + ART NEWS, p. 122, Dec '61

Tensegrity Octahedron (2)
← Tensegrity: Octa-Tensegrity | Tensegrity Sphere →
Cross Reference
Tensegrity Octahedron:
Cross-References
- Geodesic Spinnaker, (2)

Tensegrity Sphere
← Tensegrity Octahedron (2) | Tensegrity Sphere: Six Pentagonals (1) →
Index Entry
Tensegrity Sphere:
"Pushing on one individual pole of a tensegrity geodesic sphere is the same as pushing on two poles, because you only have to push at one point for the inertia of the system to react against your pushing. This point produces a spherical wave set that if uninterfered with, will travel encirclingly around the sphere from any one starting point to its 180-degree antipodes. It is like dropping a pebble into the water: the crest is the expanded phase of Universe, and the trough is the contracted phase of Universe. Looking at the ripples, we see that they are the locally initiated, expanding-contracting of whole Universe as a consequence of local energy-event inputs. This is why tensegrity and pneumatic balls bounce. Contracting as they contact, their equally violent expansion impels them away from the-- relative to them-- inert body of contact."
- Cite SYNERGETICS galley at \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1005.141005.14, as rewritten by RBF, 19 Dec'73

Tensegrity Sphere: Six Pentagonals (1)
← Tensegrity Sphere | Tensegrity Sphere: Six Pentagonals (2) →
Index Entry
Tensegrity Sphere: Six Pentagonals:
"A basic tensegrity sphere can be constituted of six equatorial plane pentagons, each of which consists of five independent and nonintertouching compression struts, totaling 30 separate nonintertouching compression struts in all. This six-pentagon equatored tensegrity sphere inter@cs in a self-balanced system resulting in six polar axes each perpendicular to one of its six equatorial pentagonal planes. It also results in 20 triangular interweavings, which structuring stabilizes the system.
"Instead of having cables connecting the ends of the struts to the ends of the next adjacent struts in the six-axes-of-symmetry tensegrity structure, 60 short cables lead from the ends of each prestressed strut either to the midpoint of the next adjacent strut or to the midpoint of tension lines running from one end to the other of each compression strut. Each of the two ends of the 30 spherical chord compression struts emerges as an energy action, out over the center of action-and-reaction effort vectors of the next adjacent strut, at which midpoint the impimgimg strut's effort is angularly precessed to its adjacent struts. Thus each strut precessionally transfers its effort and relayed interloadings to the next two"

Tensegrity Sphere: Six Pentagonals (2)
← Tensegrity Sphere: Six Pentagonals (1) | Tensegrity Sphere: Six Pentagonals →
Index Entry
Tensegrity Sphere: Six Pentagonals:
"adjacent struts. This produces a dynamically regenerative self-interweaving basketry in which each compression strut is precessed symmetrically outwardly from the others while simultaneously precessing the force efforts of all the tensional network inwardly.
"In this pattern of six separate, five-strut-membered pentagons, the six pentagonal unsubstanted but imaginable, planes cut across each other equiangularly at the spheric center. In such a structure we witness the cosmic principles enabling the recurrence of locally regenerative structural patterns. We are witnessing here the principles and regenerating the atoms. The struts are simple, dynamic, energy-event vectors which derive their regenerative energies by an eternally symmetrical interplay of inbound-outbound forces of systems which interfere with one another to maintain critical fall-in, shunt-out, proximities to one another."

Tensegrity Sphere: Six Pentagonals
← Tensegrity Sphere: Six Pentagonals (2) | Tensegrity Sphere: Six Pentagonal →
Index Entry
Tony Pugh at S.I.U. tells me that the version of the tensegrity sphere on which I based my exposition-- same one you have on your office floor-- is, in fact, degenerate because it imposes loads on the struts: as it does. In the pure tensegrities the tension network is continuous and the struts merely float in it, holding its nodes apart and undergoing no stress except axial (end-to-end).

Tensegrity Sphere: Six Pentagonal
← Tensegrity Sphere: Six Pentagonals | Tensegrity Sphere →
Index Entry
Instead of having these cables going from end to end and the struts impinging on those cables, we have, from the end of the strut, a single cable going to the middle of the member. Here we have a very interesting pattern of the atom. You see a pattern here of a pentagon: five members. . . . six planes of pentagons cutting across each other. One energy action as it emerges here comes over the middle of the center of mass of energy there and it is angularly precessed. Then its own middle becomes the precessor for the next two. You find this weaving around; this basketry, in which each one is precessing the other ones inwardly. You begin to see how there is a regenerative local pattern in Universe. I am quite confident that we are witnessing the principle by which the atoms cohere. These are dynamic events. These are vectors and they are strictly a tremendous energy event. . . as it comes over the other end it gets its maximum concentration of energy at its center of energy, and then we get the precessional effect, and get into the critical proximities.

Tensegrity Sphere
← Tensegrity Sphere: Six Pentagonal | Tensegrity Sphere (1) →
Index Entry
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-538.15538.15
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-726.01726.01-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-726.03726.03
Fig.\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-765.02765.02
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-781.01781.01
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1005.531005.53
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1005.601005.60

Tensegrity Sphere (1)
← Tensegrity Sphere | Tensegrity Sphere (2) →
Cross Reference
Sky-island City
Cross-References

Tensegrity Sphere (2)
← Tensegrity Sphere (1) | Tensegrity: Stability Requires Six Struts →
Cross Reference
Cross-References
- Gravitational Field, 8 Mar'73
- Sphericity of Whole Systems, 26 Sep'73
- Three-way Great Circling: Three-way Grid, 17 Feb'72

Tensegrity: Stability Requires Six Struts
← Tensegrity Sphere (2) | Tensegrity Structures →
Index Entry
Tensegrity: Stability Requires Six Struts:
"It is a synergetic characteristic of minimum structural systems (tetra) that the system is not stable until the last strut is introduced. Redundancy cannot be determined by energetic observation of behaviors of single struts (beams or columns) or any chain-linkage of same which are less than six in number, or less than tetrahedron."
- Cite RBF undated holograph on M.I.T. memo pad. (1950's)

Tensegrity Structures
← Tensegrity: Stability Requires Six Struts | Tensegrity: Twelve Pentagons →
Index Entry
Tensegrity Structures:
"... From the end of a compression member there is a little tension member going to the mid-part of the next compressional strut unit. The end tension members from two adjacent struts make a V-shape. We are used to fastening things into buildings in shear where structural members push. The members in tensegrity structures pull apart as the V of tension shows. Tensegrity structures are not fastened in shear. If I tighten up a turnbuckle it will tighten up the whole tension V-shape and therefore the structure will get bigger and not smaller when tensed more tightly. Each of the tension V's get a little flatter. These structural behaviors are very typical of the energy interference patterns which structurally cohere all atoms. A strut is comparable to a vector energy action and its end is pulled by the center of mass of the next vector strut. Pulling the end of the vector strut changes its direction toward the center of the whole system. Thus each of the vectors is continually steered to encircle the same center. In the same way energy self-interference patterns result in locally regenerative structural systems as atoms."
- Cite RBF in Tel Aviv Address, December 1967. (Zodiac 19).
TENSEGRITY- SECS, \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-652.01652.01+13

Tensegrity: Twelve Pentagons
← Tensegrity Structures | Tensegrity: Twelve Pentagons →
Index Entry
Tensegrity: Twelve Pentagons:
"The aggregate of all the inter-great-circlings resolve themselves typically into a regular pattern of 12 pentagons and 20 triangles; or sometimes more complexedly, into 12 pentagons, 30 hexagons, and 80 triangles described by 240 great circle chords.
"This is the pattern of the geodesic tensegrity sphere. The numbers of hexagons and triangles and chords can be multiplied in regular arithmetical-geometrical series, but the 12 pentagons, and only 12, will persist as constants; as will also the number of triangles occur in multiples of 20; and the number of edges will always be multiples of six."
- Cite SET X, p.15, Aug'72

Tensegrity: Twelve Pentagons
← Tensegrity: Twelve Pentagons | Tensegrity Vector Equilibrium →
Cross Reference
Tensegrity: Twelve Pentagons:
Cross-References

Tensegrity Vector Equilibrium
← Tensegrity: Twelve Pentagons | Tensegrity: Vertexial Connections (1) →
Index Entry
Tensegrity Vector Equilibrium:
"The tensegrity vector equilibrium could not be a better proof of the modelability of a complete abstraction: the sizeless tetrahedron."
- Cite RBF at Penn Bell videotaping, Philadelphia, 28 Jan'75

Tensegrity: Vertexial Connections (1)
← Tensegrity Vector Equilibrium | Tensegrity: Vertexial Connections (2) →
Index Entry
"The turbining, tensionally interlaced joints of the tensegrity geodesic spheroids decrease the star-like vertexial interference patterns.
"When a photostat is made of a plurality of lines crossing through approximately one point, it is seen that there is a blurring or running together of the lines near the point, causing a web-like shadow between the converging lines even though the lines had been clearly drawn. This is caused by a refractive light-wave bending. When the masses of the physically consisted lines converge to critical proximity, the relative impedance of light-wave passage in the neighborhood of the point increases as of the second power of the relative proximities as multiplied by a factor of the relative mass-density. The tensegrity geodesic spherical structures eliminate the heavy sections of compression members in direct contact at their terminals, ergo keep the heavy mass of respective compressions beyond critical proximities."

Tensegrity: Vertexial Connections (2)
← Tensegrity: Vertexial Connections (1) | Tensegrity: Vertexial Connections: Locked Kiss →
Index Entry
Tensegrity: Vertexial Connections:
"As the vertexial connections are entirely tensional, the section mass is reduced to a minimum, and frequency increase provides a cube-root rate of reduction of section in respect to each doubling frequency. Thus very large or small tensegrity geodesic spheroids may be designed with approximate elimination of all microwave interferences-- without in any way impairing the structural dimensional stability."
- Cite "Tensegrity," PORTFOLIO + ART NEWS, p.128, Dec, '61
TENSEGRITY - SEC .\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-651.21651.21

Tensegrity: Vertexial Connections: Locked Kiss
← Tensegrity: Vertexial Connections (2) | Tensegrity Vertexial Connections →
Index Entry
Tensegrity: Vertexial Connections: Locked Kiss:
"As we increase the frequency of triangular module subdivisions of the sphere, and thus increase the numbers of compression struts, the struts get progressively halved in length, while their volumes and weights shrink eightfold. At the same time the arc altitude between the smaller arcs and chords of the sphere decreases, and finally we get to the condition where the compression members get closer and closer to the adjacent compression members which they cross. Finally we get to the point where the space between them is the same dimension as the girth diameter of the struts. We can then let them 'kiss' touch. We may then lock them tensionally together in their 'kiss,' but when we do so remember that they were not pushing one another when they kissed and we locked them in that position of nonstructural coincidence. They are therefore not fastened in shear even though their 'locked kiss' gives a superficially 'solid' appearance."
- Cite Mexico '63, p. 44

Tensegrity Vertexial Connections
← Tensegrity: Vertexial Connections: Locked Kiss | Tensegrity: Wire Wheel →
Cross Reference
Cross-References

Tensegrity: Wire Wheel
← Tensegrity Vertexial Connections | Tensegrity Geodesic Tensegrity Structures (1) →
Index Entry
I found that nature was not using that primarily structural logic. In our solar system the Earth is not touching and ball-bearing around on the Moon's surface. They cohere gravitationally and remotely. And in the atoms the energy components are equally remote from one another. I found that nature is using what I call continuous tension and discontinuous, islanded compression. Man's first discovery of that was when he made the wire wheel with a compressional hub as the counterpart of Earth with rim corresponding to the Moon's encirclement of the Earth with the spokes corresponding to the gravity which coheres the two islands of compression only by tension.
I find then that it is possible to make structural units which are only held together by tension. I call these clearly differentiated tension-compression structural tensional integrities, or tensegrity structures.
- Cite Tel Aviv Address, Dec '67

Tensegrity Geodesic Tensegrity Structures (1)
← Tensegrity: Wire Wheel | Tensegrity Geodesic Tensegrity Structures (2) →
Cross Reference
Aspension
Clothes Line
Cross-References
- Balloons
- Domes
- Geodesic Structures
- Pneumatic Structures
- Rigidity
- Snow Mound
- Geodesics & Tensegrities
- Four-triangular Circuits Tensegrity

Tensegrity Geodesic Tensegrity Structures (2)
← Tensegrity Geodesic Tensegrity Structures (1) | Tensegrity (2) →
Cross Reference
Vectors & Tensegrons, 19 Oct'72
Cross-References
- Apple, 10 Nov'73
- Cosmic Structuring, (3)
- Engineering, 3 Oct'72
- General Case, 16 Feb'73
- Kite, 28 Jan'75

Tensegrity (2)
← Tensegrity Geodesic Tensegrity Structures (2) | Tensegrity (3) →
Cross Reference
Cross-References
- Push-pull Members, 28 Oct'72

Tensegrity (3)
← Tensegrity (2) | Tensile Blueprint →
Cross Reference
See Tensegrity: Basic Tensegrity Structures: Three & Only
Cross-References
- Tensegrity: Basic Tensegrity Structures: Three \& Only
- Tensegrity: Depolarized Orientation of Tensegrity-ahedron Universal Joint, Oct
- Tensegrity Geodesic Grid: Three-way Grid
- Tensegrity: Unlimited Frequency of Geodesic Tensegrities
- Tensegrity Icosahedron
- Tensegrity: Miniature Tensegrity Masts
- Tensegrity:a-tensegrity, Oct
- Tensegrityahedron, Oct
- Tensegrity Sphere
- Tensegrity: Stability Requires Six Struts
- Tensegrity Structures
- Tensegrity: Twelve Pentagons
- Tensegrity Vector Equilibrium
- Tensegrity: Vertexial Connections
- Tensegrity: Wire Wheel
- Tensegrity Model of Self-interference of Energy
- Tensegrity Clothesline

Tensile Blueprint
← Tensegrity (3) | Tensile Blueprints →
Index Entry
... The tree having to have its own young out from under its shadow... Laughing all those seeds... She sends only the tensile blueprint in the seed. And part of this is crystals and the crystals will grow.

Tensile Blueprints
← Tensile Blueprint | Tensile Strength of Chrome-Nickel-Steel →
Cross Reference
Tensile Blueprints: See Prestressed Concrete Sequence, (3)
Cross-References
- Prestressed Concrete Sequence, 1965 (3)
- Seed, 1965
- Tree

Tensile Strength of Chrome-Nickel-Steel
← Tensile Blueprints | Tengile Strength of Chrome-Nickel-Steel →
Index Entry
Tensile Strength of Chrome-Nickel-Steel:
"Here is another synergy confirming instance: the tensile strength of chrom-nickel-steel is 350,000 pounds per square inch. This is 100,000 pounds stronger than 250,000 pounds per square inch which is the sum of the tensile strengths of each and all of chrom-nickel-steel's constituent metals; which are, nickel 80,000 p.s.i., chromium, 70,000, iron, 60,000, while the sum of their minor ingredients-- carbon, manganese, et.al., is 40,000 p.s.i. The augmented coherence of the whole chrome-nickel-steel alloy is accounted for only by the complex inter-mass attractions of the crowded together atoms. That is synergy."
-Cite NEHRU SPEECH. P. 34, 13 Nov'69

Tengile Strength of Chrome-Nickel-Steel
← Tensile Strength of Chrome-Nickel-Steel | Tensile Strength of Chrome Steel →
Index Entry
Tengile Strength of Chrome-Nickel-Steel:
"The synergy is predicated upon my definition of Universe as the aggregate of all men's consciously apprehended and communicated (to self or others) experiences. Synergy means behavior of aggregates unpredicted by the behavior of their components or any subassemblies of their components.. Chrome-nickle-steel may have a tensile strength of 350,000 psi, whereas its three strongest alloy constituents have only 60,000 psi, 70,000 psi, and 80,000 psi respectively. Unlike the chain whose strength is no stronger than its weakest link, chrome-nickel-steel is six times stronger that its weakest link and stronger than the sum of strengths of all its individual links. Chrome-nickel steel is synergetic. All alloys are synergetic. All compounds are synergetic. Atoms are synergetic. Universe is synergetic."
- Cite RBF Ltr. to Colliers (full text), Pp. 3-4, July'59

Tensile Strength of Chrome Steel
← Tengile Strength of Chrome-Nickel-Steel | Tensile Strength of Chrome-nickel-steel (1) →
Index Entry
Mexico '63, p. 14, 10 Oct '63 (In this case, aluminum alloys)
Intuition, pp.51-52, May '72
Univ. of Alaska, pp. 13-16, 20 Apr '72
Mexico '63, pp.21-24, 10 Oct '63
Later Development of My Work, I&I, pp.64-65, 5 Jun '58
Kepes, p.85, 1965
**How to Maintain Man As A Success, Utop or Obliv., p.226, 18 Mar '65
Doxiadis Ltr, Utop. or Obliv., p.313, 20 Jun '66
**Oregon Lecture #1, pp.31-32, 1 Jul '62
Ltr to James Fitzgibbon (?), Raleigh, NC, undated, p.4. (1954-59)
*Senate Hearings, p.11, 4 Mar'69

Tensile Strength of Chrome-nickel-steel (1)
← Tensile Strength of Chrome Steel | Tensile Strength of Chrome-nickel-steel (2) →
Cross Reference
Cross-References

Tensile Strength of Chrome-nickel-steel (2)
← Tensile Strength of Chrome-nickel-steel (1) | Tension →
Cross Reference
Cross-References
- Cube: Diagonal Of, (2)
- Industrial Lag, (1)
- Synergy, Jul'59
- Tools: Craft & Industrial, (2)

Tension
← Tensile Strength of Chrome-nickel-steel (2) | Tension →
Index Entry
"...If tension is secondary and local in all men's structural projections, tension must also be secondary in man's philosophic reasoning." - Citation & context at Airplane Flight as Lift, 4 Oct'72

Tension
Index Entry
Tension:
"Tension is unit: universally cohering and comprehensively finite."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-640.70640.70, Dec'71

Tension
Index Entry
Tension:
"Tension is an unlimited structural principle and inherently comprehensive and eternal."
- Cite RBF Holograph, Beverly Hotel stationery, Spring, 1971.

Tension (1)
Index Entry
Tension:
"Now I am going to give you an analogy. It's actually a model in our processes of thinking. Say your were a kid and your mother said, 'I would like you to go out and hang something on the clothesline'-- so you had a clothesline. Later on you are getting on a boat and somebody says, You have never been in a boat before. Now this is called a "sheet." It's like the sheet on your bed. I want you to pull in on this jib sheet.' And then you find that there are halyards and other kinds of lines, then you pull on those and you get used to all kinds of lines. Then you are pulling on the anchor rope.
"So then the clothesline and the different pieces of line you have handled on your boat rotted and you get in someone else's boat and you see ropes again. They have ropes nowadays with better cordage, of nylon, and dacron, and mylar. In the sum total you have a great many experiences with tension, but every one is a special case. Then you begin to draw from all those special cases certain generalized principles about tension. When you pull on a rope it tends to straighten out."

Tension (2)
Index Entry
Tension:
"When you push the two ends it begins to coil; the radius gets shorter, the radius gets longer. You begin to generalize.
"Now let's get out to a very high-frequency radius from a given sphere center of a great matrix of the closest-packed spheres. I will go out to the one-hundredth layer and at the one hundredth layer I would have-- we know our frequency is 100-- so our frequency to the second power, 100 x 100 is 10,000. to the second power times 10, so it makes it now 1,000,000, plus 2. So it's 1,000,002. I know the number of balls now in the one hundredth layer is 1,000,002. Very interesting.
"Now you and I and all the people who have had any rope experiences have had 1,000,002 experiences. More than enough to remember all the special experiences, and out of that we generalize certain experiences of tension. We call it 'tension.' We don't just call it a different piece of rope-- it's now no longer the main sheet, and so forth, it's just tension. And this generalization works in to some layers"

Tension (3)
Index Entry
Tension:
"inside. In other words, we have special-case experiences originally and out of those special-case experiences we resolve generalized principles. And I find what I call a generalization of a generalization, so that brings us into a layer further still. It could be that our generalizations come again close toward center and we finally get to the center one which is called the Universe and that involves them all. This is pretty much the way our thought processes work. We begin to have a whole lot of experiences with tears and so forth, and gradually with experiences we get wiser and we see generalized principles. You really resolve something out of that and as you get older and older you resolve more and more generalized principles. And the reason you get quite full of equanimity and confidence is because you have generalized so many that you can handle any special case. I think these balls schematically are really the way our thought processes work. We are trying to identify what we do here. It is like the brain. This is the way the brain handles... We have discovered that the difference between the brain and the mind is that the brain "
- Cite RBF to Verner Smythe, NYC, Reel 1, pp.10-11, 11 Mar'69

Tension
Index Entry
Tension:
"is simply a storing and retrieving system for all the special-case experiences. But once you and I have resolved it, and the mind resolves the generalized principle... but once the mind has discovered the generalized principle, then it deposits it in the brain as another kind of special case. Generalization becomes storable in the special case words, because we do it in words, we do it in concepts-- that gets to be storable. It's quite a different kind of storage from the original special case. I think there are a great many people who just really live in the special case and don't really tend to generalize as much. What they have are some rules. Those are special cases because they remeber that their minister told them always to do this-- Raise your hat going by church.. Those are conditioned reflexes.
"I think we really have given you the prime entry here."
- Cite RBF to VERNER Smythe, NYC, Reel 1, p.11, 11 Mar'69

Tension
Index Entry
The generalized principle of tension
Holds true in all cases
Be the tensed phenomenon a silken cord,
A wrought-iron chain,
Or the invisible gravity cohering
The Earth and Moon
Which rotate synchronously
As they 'fly twin-spin formation'
Around the Sun
At one thousand miles a minute
Which is four times
The additional acceleration
At which our Christmas Eve
Moon orbiting
Manned capsule
Averagely enroute
Its successful round trip.

Tension
Index Entry
Tension:
"... Tension members work towards arcs of greater radius but never completely straighten out. ... The tensions are not in a plane, anyway. Tension tends to do the big things in universe, do the big action, and compression is towards the little action. Furthermore, compression member has a limit ratio of length to section, we call it a slenderness ratio, it very readily busts because it is too long. ... But there is no limit of cross-section to length in a tension member, no inherent ratio. If you make a better alloy, you make it very much longer."
- Cite LEDGEMONT, pp. 30-31, 15 Oct'64

Tension
Index Entry
Tension:
"Tension is shown experientially to be nondimensional, omnipresent, finitely accountable, continuous, comprehensive, ergo timeless, ergo eternal."
(Ed. Note: Date of RBF rewrite not determined in this file.)
- RBF SYNERGETICS draft, 'Tension and Compression' revision of Oregon Lecture #5, pp. 157-158. 9 Jul'62

Tension
Index Entry
Tension:
"I pull on the rope and all its curls begin to go out and they begin to be arcs of greater radius. But we find that it is never operating in a plane or in a line and therefore it is consisting of spirals. And spirals get to be arcs and a plurality of arcs of ever greater radius but it never gets to be straight. Tension mebers keep doing bigger and bigger tasks. The big patterns of universe are done by the large radius patterns and to account for the large pattern integrities."
- Cite OREGON Lecture #5 - pp. 157,158, 9 Jul'62

Tension
Index Entry
Tension:
"The big jobs are done in tension and the small jobs in compression. We find that the tensions, because they are always curved, never can get straight. There is no meaning to the word 'straight' in Universe. Therefore the tension memebers spiraling around must always come back into themselves. They are inherently self-closing, maybe not with simultaneous experiences-- obviously not in simultaneous experiences-- but around comes the Halley's Comet. Every 70 years around she comes again. It is not a simultaneous experience at all. Several life times may be involved, and some of them may be coming around more slowly, but there is an integrity of the tensions as around they come again. We find an idea about some kind of closed circuit."
- Cite Oregon Lecture #3, pp. 111-112. 5 Jul'62

Tension
Index Entry
Tension:
"All tensile capability is apparently invested in the surfaces."
- Cite "Tensegrity," PORTFOLIO + ART NEWS, p. 123, Dec. '61

Tension (1)
Index Entry
Tension:
"As structural systems are omni-directionally coherent, tensile factors were unwittingly taken advantage of to cohere man's compressive structures. Comprehensive tensile coherence provided by nature was atomic, the enormous amount of which induced into action was manifested by the weight of the structural masses. The invisible structure was E = mc²....
"Throughout the universe, compression and tension are energetically juxtaposed. Their juxtaposition provides dimension--the basic of awareness of life itself. Tension is comprehensive. Universe tensionally coheres non-simultaneous events.
"Man's structuring ability is by principle distinctly limited in the proportional ratios of width and length of compression members. The tensile principle has no such ratioed limit of length to section. Tension members, no matter how elongated, tend to pull true. Tension is limited only to the initial cohesiveness of the chemical elements. As man's knowledge of chemical - Cite Previews, I&I, pp.211-212, 1 Apr '49

Tension
RBF Definitions
"interaction improves the length of tensile members, relative to given section diameter or given stress, trends are to increasing amplification-- to infinite length with no section. Incredible? No. Every use of gravity is a use of such sectionless tensioning. The electrical tension first employed by man to pull energy through the nonferrous conductors, and later to close the wireless circuit, was none other than such universally available sectionless tension.
"In the phenomena tension man is in principle given access to unlimited performance. It seems fantastic, but there it is!"
Citations
- Previews, I&I, p.212, 1 Apr'49

Tension
← Tension | Tension & Compression →
Index Entry
"Tension is both internal and external to the octave and is harmonic to the unit octave or to octave pluralities. Tension is comprehensive, attractive, and gravitational. Tension is infinitely extensible."
". . . Tension is radial and is electromagnetic."
-
Cite DYAXION COMP. SYSTEM, 1944 Table 4, caption.
-
Citation & context at Tension & Compression, 1944

Tension & Compression
← Tension | Tension & Compression →
Index Entry
Tension & Compression:
"In 1851 tension came to parity with compression."
- Citation and context at Civil War (1), 20 Apr'72

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Compression is inherently partial. Tension is inherently total."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-640.70640.70, Dec'71

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Compression is time. Tension is eternity."
- Cite Synergetics Draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-640.70640.70, Dec. '71.

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Compression is higher frequency tension."
- Cite RBF to Speech Class (per Mike Mitchell notes), SIU Edwardsville, 14 Feb'74

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"We find that nature employs discontinuous compressions and continuous tension. For this reason compressions are plural and tension is singular."
- Cite Goddesses, Sat Review 2 Mar 68

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Tension tends towards arcs of increasing radius; Compression tends towards arcs of decreasing radius."

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Compression behaviors are disassociative while tension behaviors are inherently associative and spontaneously cohering."
- Cite CONCEPTUALITY OF FUNDAMENTAL STRUCTURES, ed., Kepes, p.85, 1965

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Tension and compression are only coexistent.
when you tense a rope its girth contracts-- ergo compressaes."
- Cite MUSIC OF THE NEW LIFE, U. or O, p.14, 10 Dec'64

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
"... One thing very clear about compression and nad tension, in the first place they are never innocent of each other. If I pull a rope,its girth contracts, it is going under compression at 90 degrees. If I load a cigar, it tries to bow outwardly ... as I load it. So .. this girth is expanding; therefore it is getting higher tension. Tension and compression always operate at precision of right angles to one another and we simply have one at high tide and one at low tide of aspects of conceptuality."
- Cite LEDGEMONT, p. 30, 15 Oct'64
HIGH TIDE - SEC \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-641.01641.01

Tension & Compression
← Tension & Compression | Tension & Compression →
RBF Definitions
Compression tends to be local and separate and divisible while tension tends to be unit and cohering and finite and very large." - Cite OREGON LECTURE #5 - p. 159, 9 Jul'62

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Functions are never independent of one another. No tension member is innocent of compression and no compression member innocent of tension."
-
Citation and context at Function, 9 Jul'62
-
Pitts Oregon Lectures #5, p. 157. 9 Jul'62

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Compression tends to be local and separable and divisible while tension tends to be unit and cohering and finite and very large."
- Cite OREGON Lecture '5 - p. 159, 9 Jul'62

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Tension & Compression:
"Compression is micro and tension is macro."
- Citation and context at Macro-Macro, 1955

Tension & Compression
← Tension & Compression | Tension & Compression →
Index Entry
Compression is lateral or circumferential and is electrostatic; tension is radial and is electromagnetic. Compression is expressive internal to the octave and is limited to the mathematical properties and harmonic laws internal to the octave. It builds up potential. As demonstrated in the arch, compression is limited to absolute phenomena and fixed relationships of one spherical system.
"Tension is both internal and external to the octave or to octave pluralities. Tension is comprehensive, attractive, and gravitational. Tension is infinitely extensible."

Tension & Compression
← Tension & Compression | Tension ≠ Compression (1) →
Index Entry
Throughout the universe, compression and tension are energetically juxtaposed. . . Compression is limited to dimensionally minuscule tasks in the universe, to the spherical convergencies of energy in elemental systems.
"Man's structuring ability is by principle distinctly limited in the proportional ratios of width and length of compression members. Elongated compression tends to deflect and fail. The best compression abilities are in the planetary form of the sphere, whose neutral axis is dynamic through omni-directional symmetry. Ball bearings are man's best accomplishment in compressive structuring."

Tension ≠ Compression (1)
← Tension & Compression | Tension & Compression (1) →
Cross Reference
Cross-References

Tension & Compression (1)
← Tension ≠ Compression (1) | Tension & Compression (2A) →
Cross Reference
Dog Pulling on a Belt
Generalization: Second Degree
Rope
Spherical Barrel: Radial Compression vs. Circumferential Tension
Structural Functions
Radial Compression vs. Circumferential Tension
Fit: Pressured or Tensed Fit
Push-pull
Tidal
Cross-References

Tension & Compression (2A)
← Tension & Compression (1) | Tension & Compression (2B) →
Cross Reference
Implosion, Explosion, Dec'70
Cross-References
- Civil War, (1)
- Colloidal Chemistry, 1938
- Coherence, 1 Apr'49
- Comet, 5 Jul'62
- Convergence & Divergence, 8 Sep'75
- Domains of Actions, 21 Dec'71
- Function, 9 Jul'62
- Geodesic Domes, 24 Jan'58; 12 May'77
- Hydraulics, 20 Apr'72
- Instant Universe, (2)
- Male & Female, 20 Apr'72
- Macro-micro, 1955
- Nature Ships Tension, 29 Jul'76
- ahedron as Conservation & Annihilation Model, Oct
- Pattern Generalization, (2)
- Quantum: Event-paired Quanta, Jul'66
- Spiralinearity, Nov'71
- Tensegrity, 1967

Tension & Compression (2B)
← Tension & Compression (2A) | Tensional Constancy →
Cross Reference
Cross-References
- Tidal, Dec'61; 9 Nov'73
- Universal Integrity, 7 Nov'73
- Wind Stress & Houses, (10)(11)
- Wire Wheel, 4 May'57

Tensional Constancy
← Tension & Compression (2B) | Tension Diamonds →
Cross Reference
Cross-References

Tension Diamonds
← Tensional Constancy | Tensional Integrity →
Cross Reference
Cross-References
- Cork: Triangular Corks in Spherical Barrels, 15 Feb'66

Tensional Integrity
← Tension Diamonds | Tensional Integrity (1) →
Index Entry
Tensional Integrity:
"Man can approximate the magnificent efficiencies and economies of the macro-micro tensional integrities of nature."
- Cite I SEEM TO BE A VERB, Bantam, 1970

Tensional Integrity (1)
← Tensional Integrity | Tensional Integrity (2) →
Cross Reference
Cross-References

Tensional Integrity (2)
← Tensional Integrity (1) | Tension Structures →
Cross Reference
Cross-References
- Interpositioning, 4 Oct'72

Tension Structures
← Tensional Integrity (2) | Tension Structure →
Index Entry
Tension Structures:
"The essence of the essence of historical surprise in general reorientations is the discovery that tension structure is not a linked, or chain, phenomenon. Tension members represent 'milky-way-like' arrangements of atoms, the atomic or inter-stellar spaces of which are relatively infinite. The tension members may no longer be thought of as chains, no stronger than their weakest link. Tension structures arranged by man depend upon his relative knowledge in purest principle-- in purest initial volition of interpretation-- of pure intellect. Universe is tensional integrity."
- Cite PREVIEWS, I&I, Pp. 212, 213

Tension Structure
← Tension Structures | Tensive →
Index Entry
Tension Structure:
"A tension structure is nature's fundamental pattern cohering principle."
- Cite ITEM "O", p. 196 May'55

Tensive
← Tension Structure | Tensive vs. Pushive →
Index Entry
Tensive:
"Gravity is tensive, ergo tends to decrease its overall curvature. The ultimate reduction of curvature is no curvature.... The tensive tends to arcs of ever greater radius."
- Citation and context at Curvature, 23 Sep'73

Tensive vs. Pushive
← Tensive | Tensive vs. Pushive →
Index Entry
Tensive vs. Pushive:
"'Impel' and 'repel' are both pushive; I need something tensive to work with precession."
- Cite RBF to EJA, 3200 Idaho, Wash DC, 12 Nov'74

Tensive vs. Pushive
← Tensive vs. Pushive | Tension Tensile Tenaive (1) →
Cross Reference
Cross-References

Tension Tensile Tenaive (1)
← Tensive vs. Pushive | Tension Tensile Tensive (2) →
Cross Reference
Length-to-girthRatio
Supradiractional
Precession = Tension
Cross-References
- Electrical Tension
- Fish: Playing the Fish on a Reel
- Intellect as Tensile
- Omnitensional
- Pull
- Rope
- Sectionless Tensioning
- Tidal
- Wind Sucking Sequence
- Tensegrity
- Nature Ships Tension
- Intertension

Tension Tensile Tensive (2)
← Tension Tensile Tenaive (1) | Tension Tensile Tensive (3) →
Cross Reference
Cross-References
- Airplane Flight as Lift, 4 Oct'72
- Chord, 20 Feb'73
- Crystallines, 9 Dec'73; Aug'71
- Curvature, 23 Sep'73
- Engineering, 3 Oct'72
- Ephemeralization, 1938
- Eternity, Dec'71
- Formless, 10 Oct'63
- ave, Oct
- Precession, May'72
- Seed, 30 Oct'72
- Universe, 1 Apr'49
- Female, May'65
- Measurement Trends, 1938
- Prehending, 19 Dec'74
- Inward Explosion, 8 Apr'75
- Knot, 7 Nov'73
- Lasso, 1946

Tension Tensile Tensive (3)
← Tension Tensile Tensive (2) | Tensor (1) →
Cross Reference
Cross-References
- Tensile Blueprint
- Tensile Strength of Chrome-nickel-steel
- Tension & Compression
- Tension Diamonds
- Tensional Integrity
- Tension Structures
- Tensive vs. Pushive
- Tensional Constancy

Tensor (1)
← Tension Tensile Tensive (3) | Tensor (2) →
Cross Reference
Vector-tensor
Cross-References

Tensor (2)
Cross Reference
Cross-References
- ahedron as Conservation & Annihilation Model, Oct
- Push-pull Members, 28 Oct'72

Tentative
RBF Definitions
Tentative is a time word which, with frequency of redefining gets more and more exact."
- Citation & context at Time, 1971

Tentative
← Tentative | Tent; Tents (1) →
Cross Reference
Cross-References
- Definitions, Oct'69
- Time, 1971

Tent; Tents (1)
← Tentative | Tent Tents (2) →
Cross Reference
Cross-References

Tent Tents (2)
Cross Reference
Cross-References
- Grow-a-dome, 1 Dec'76 (6)
- Space Technology, (6)

Tenuous
← Tent Tents (2) | Tenuous: Tenuousness →
Index Entry
Tenuous:
"Because of indeterminism, discontinuity, the exclusive tenuous nature of integrity, means that no exact hard particulate models may ever be fashioned by man."

Tenuous: Tenuousness
Cross Reference
EJA to RBF: "Tenuous-- doesn't that sound too tentative?"
RBF to EJA: "But it holds together, doesn't it?"
Cross-References
- SYNERGETICS draft at Sec..34, 1009

Tenuous
← Tenuous: Tenuousness | Tenure →
Cross Reference
Vertexial Connections: Rules of Never-quite-touching
Cross-References

Tenure
← Tenuous | Tenure: Academic Tenure →
Index Entry
"The education revolution requires the elimination of all academic tenure." - Citation at Education Revolution (1), 29 Jun'72

Tenure: Academic Tenure
← Tenure | Tenure Academic Tenure (1) →
Index Entry
We could have a man who is really a very bright professor, but he was really not sticking enough and the king was bothered about him. So he said, Mister, you're getting off base a little over there. I'm going to really tie you up. I want to really tie you up: I'm going to give you tenure. Now how do you like that! Don't do anything for anybody else. You're set for life! Nobody can ever take it away from you. But I want you to be an absolutely pure scientist. None of that nonsense about applied science. Pure scientist. You just lay eggs and I'll take them away from you.... Today, this is just the way our university is.

Tenure Academic Tenure (1)
← Tenure: Academic Tenure | Tenure Academic Tenure (2) →
Cross Reference
Cross-References

Tenure Academic Tenure (2)
← Tenure Academic Tenure (1) | Tepee: Half-Spin Tepee Twist →
Cross Reference
See Divide & Conquer Sequence, (5)*
Cross-References
- Divide \& Conquer Sequence*, (5)
- Specialization, 1970
- Education Revolution, (1)
- Education, 1 Feb'75

Tepee: Half-Spin Tepee Twist
← Tenure Academic Tenure (2) | Tepee-Tripod →
RBF Definitions
"... We make further discovery of the utter interrelatedness of synergistic accommodation as we find the half-spin 'tepee' twist also turning the tetrahedron inside-out. Here we find that the vector equilibrium, or the vector equilibrium's eight tetrahedra's external vertexes all converged toward one another only to suddenly describe four half-great-circle spins as they each turned themselves inside-out just before the convergence: thus accomplishing sizeless invisibility without ever coming into contact. Eternal interval is conserved. Thus the paradox of particle discontinuity and wave continuity is conceptually reconciled."
Citations
- SYNERGETICS draft at Sec. \href{https://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1012.38}{1012.38}, 20 Feb'73

Tepee-Tripod
← Tepee: Half-Spin Tepee Twist | Tepee (1) →
Index Entry
Tepee-Tripod:
"Best picture of what happens locally is the following: The three sides of a tepee-tripod, composed first of three vertical triangles rising from a fourth ground triangle and subsequently rocking toward one another until their respective apexes and edges are congruent and the three triangles plus the one on the ground constitute am minimum system, for it has minimum 'withinness.' Any one edge of our tepee, acting alone, as a pole with an universal joint base, would fall over into a horizontal position, two edges of the tepee acting alone form a triangle with the ground and act as a hinge with no way to oppose rotation toward horizontal position, except when prevented from falling by interference with a third edge pole, falling toward and into congruence with the two other poles' common vertex."

Tepee (1)
Cross Reference
Cross-References
- Now House, (1)

Terminable
Cross Reference
Cross-References
- Definitive, 1959

Terminal
Index Entry
Terminal:
"...special cases are all inherently terminal; that is, in temporary employment of the principles."
- Citation and context at Special Case, 13 Mar'73

Terminals
← Terminal | Terminal Condition →
Index Entry
Terminals:
"If your world was in a plane, then all the perpendiculars to that plane would be parallel to one another. One way you went up; the other way you went down; and you could have terminals like Heaven and Hell."
- Cite THIS IS YOUR GRAND STRATEGY, 4 Feb. '68, p.1.

Terminal Condition
← Terminals | Terminal Condition →
Index Entry
Terminal Condition:
"The center ball of a vector equilibrium is zero. The frequency is zero just as in the first layer the frequency was one. So zero times 10 is zero; to the second power is zero; plus two is two. So the center ball has a value of two. The significance is that it has its concavity and its convexity. It has both insideness and outsideness. Its center is as far as you can go inwards. You turn yourself inside-out and come out in the outside direction. Its inbound shell and its outbound shell are equally valid, and though you see them as congruent and as one, they are two. This central sphere center is a terminal condition."
- Cite SYNERGETICS draft, Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-441.03441.03, 9 Jun'72

Terminal Condition
← Terminal Condition | Terminal Condition →
Index Entry
Terminal Condition:
"... I give you then a tetrahedron which has an external and an internal: a terminal condition. ... You get to the outside and you turn yourself inside out and come the other way. This is why radiation then does not go off into a higher velocity. Radiation gets to a maximum and then turns itself inwardly again--becomes gravity. Then gravity comes to its maximum concentration and turns itself and goes outwardly--becomes radiation."
-
Cite RBF Tape to EdA - 804k, Blackstone, Chicago. 31 May 1971, pp. 17-18.
-
Citation & context at Zero, 31 May'71

Terminal Condition
← Terminal Condition | Terminal Intertransformabilities (2) →
Index Entry
Terminal Condition:
"The center ball of the vector equilibrium has a value of two for outside-inside, convex-concave: terminal condition."
- Cite RBF to EJA, Blackstone Hotel Chicago, 31 May 1971
Pp. 17-19

Terminal Intertransformabilities (2)
← Terminal Condition | Terminal Rate →
Cross Reference
Cross-References
- Stardust, (2)

Terminal Rate
← Terminal Intertransformabilities (2) | Terminal Rate →
Cross Reference
Cross-References

Terminal Rate
← Terminal Rate | Terminal Speed (1) →
Cross Reference
Cross-References

Terminal Speed (1)
← Terminal Rate | Terminal Speed (2) →
Cross Reference
Terminal Speed:
Top Speed
Cross-References

Terminal Speed (2)
← Terminal Speed (1) | Terminating →
Cross Reference
Cross-References
- Limit Reach, 17 Jan'74 (2)

Terminating
← Terminal Speed (2) | Terminal Terminal Condition Terminable (1) →
Index Entry
Terminating:
"... initiating and terminating are most often of different duration."
(In the context of: "Experiences are all finite because each begins and ends.")
- Cite RBF marginalia Universe draft 28 Feb '71

Terminal Terminal Condition Terminable (1)
← Terminating | Terminal: Terminal Condition: Terminating (2) →
Cross Reference
Terminal: Terminal Condition: Terminable:
Cross-References
- Beginnings & Endings
- Biterminal
- Endings
- Finite
- House as Terminal of Community Mechanism
- Interterminal
- Limit
- Omnidirectional Terminal Case Corner
- Rate & Terminal
- Service Terminal Installation
- Zero

Terminal: Terminal Condition: Terminating (2)
← Terminal Terminal Condition Terminable (1) | Terrestrial →
Cross Reference
Cross-References
- Change, 9 Nov'72
- Entropy, Jan'72*
- Experience, 12 Sep'71
- Finite, 1960
- Gravity, 31 May'71
- Rate, 9 Nov'72
- Special Case, 13 Mar'73*
- Stardust, (2)
- Two, (2)
- Nuclear Sphere, 16 Dec'73
- Zero, 31 May'71*
- Atom, 30 May'75
- Line, 1938
- Events &ents, Nov
- Doing What Needs to Be Done, (1)(2)
- Multidimensional Accommodation, 11 Dec'75
- Dymaxion Airocean World Map
- Height, Length & Width, 19 Jul'76
- Subconscious, 20 Feb'77

Terrestrial
← Terminal: Terminal Condition: Terminating (2) | Testicles →
Cross Reference
Terrestrial:
Cross-References

Testicles
← Terrestrial | Text Testing →
Cross Reference
Testicles:
Cross-References

Text Testing
Cross Reference
Cross-References
- Fluidity, 15 Oct'72

Tether Ball
← Text Testing | Tether Ball →
Index Entry
Synergetics, draft, Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-401.02401.02, 28 May'72

Tether Ball
← Tether Ball | Tether Tethers →
Cross Reference
Tether Ball: See Me Ball Restraints
Cross-References

Tether Tethers
Cross Reference
Tether: Tethers:
Cross-References
- Sweepout, May'72

Tetra-arc
← Tether Tethers | Tatra-cone →
Cross Reference
Cross-References
- Invisible Quantum as Tetrahelix Gap Closer, 23 May'75
- ahedron as Conservation & Annihilation Model, Oct (4)

Tatra-cone
← Tetra-arc | Tetra, Octa & Icosa (1) →
Cross Reference
Tatra-cone:
Cross-References

Tetra, Octa & Icosa (1)
← Tatra-cone | Tetra, Octa & Icosa (2) →
Cross Reference
Cross-References

Tetra, Octa & Icosa (2)
← Tetra, Octa & Icosa (1) | Tetra, Octa & VE →
Cross Reference
Cross-References
- Geodesic Sphere, (2)
- Twelve Pentagons, Aug'71
- Stable & Unstable Structures, 7 Jun'72
- Structural Quanta, 9 Nov'73
- Dimpling, (1)

Tetra, Octa & VE
← Tetra, Octa & Icosa (2) | Tetrahedron →
Index Entry
"The three primes are really tetra, octa and VE. The icosa is not prime as it only appears at special case frequency²."

Tetrahedron
← Tetra, Octa & VE | Tetrahedron →
Index Entry
Tetrahedron:
"A tetrahedron is defined topologically by four conceptually locatable microsystems interconnected by six interrelationship lines whose 12 ends are oriented to corner-converge in four groups of three lines each, whose lines terminate in one of four infratunable microsystem corners, whose at-minimum-of-three-other corner-defining microsystems lie outside the tune-in-able tetrahedron defined by the six lines."
- Cite SYNERGETICS 2 draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1052.3531052.353; RBF rewrite
8 Aug'77

Tetrahedron
Index Entry
Q. "What's so great about the tetrahedron?"
RBF: "It's nothing to do with being great, darling. . . it's just the 'simplest something.' It is the minimum configuration with insideness and outsideness. Nature structures in tetrahedra: they cannot be piled up like building blocks, but they do join."
- Cite RBF to Sue Liberman at WAMU taping Wash. DC; 26 Apr'77

Tetrahedron
Index Entry
Tetrahedron:
"You say I am in homage to the tetrahedron. I am not in homage to anything, certainly not the tetrahedron as an object, merely as the minimum structural system in Universe."

Tetrahedron
Index Entry
Tetrahedron:
"A tetrahedron consists topologically of four microsystems or of six lines converging into four critical proximity corner-defining groups of three lines each, whose lines terminate in four microsystem groups of three microsystems each lying outside the tetrahedron defined by the six lines."
- Citation & context at Microsystems, 22 Mar'76

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron is a system and not anything in its own right."
- Citation & context at Nucleus, 22 Jun'75

Tetrahedron
Index Entry
Tetrahedron:
"Tetrahedra always have a square central section on which they may be precessed."
- Cite RBF videotaping session Philadelphia, Pa., 1 Feb'75

Tetrahedron
Index Entry
Tetrahedron:
"Tetrahedron is the accommodation of all the aberrations of Universe."
- Cite RBF to Earth Metabolic Design, Inc., New Haven, 10 Dec'73

Tetrahedron
Index Entry
Tetrahedron:
"Interconnect the ends of any two lines in Universe-- and there's your tetrahedron!"
- Cite RBF to Earth Metabolic Design, Inc. New Haven, 10 Dec'73

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron can handle all couplings because one edge is precessed to the other edges."
- Citation at Couplings, 10 Dec'73

Tetrahedron
Index Entry
Tetrahedron:
"Synergetics shows that the tetrahedron can be extrapolated into life in all its experience phases, thus permitting humanity's entry into a new era of cosmic awareness."
- Cite RBF galley correction to SYNERGETICS at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-232.03232.03, 28 Oct'73

Tetrahedron
Index Entry
Tetrahedron:
"Of all the regular polyhedra, the sphere (i.e., the high-frequency, omnitriangulated, geodesic spheroidal polyhedron) encloses the most volume with the least surface. Whereas the tetrahedron encloses the least volume with the most surface. The contained energy is at minimum in the tetrahedron. The structure capability is at maximum in the tetrahedron."

Tetrahedron
Index Entry
Tetrahedron:
"There are many transformation patterns, but tetrahedron is the absolute minimum limit case of structural system interself-stabilising. A tetrahedron is an omnitriangulated, four-entity, six-vector interrelationship with system-defining insideness and outsideness independant of size; it is not a rigid frame and can be any size."
- Citation and context at Scheme of Reference, 24 Sep'73

Tetrahedron
Index Entry
Tetrahedron:
"Radiation is tetrahedral. A tetrahedron is a tetrahedron independent of size. There are points and no-points. They are both tetrahedral."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-541.09541.09. 23 Sep'73

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron can be considered as a whole system or as a constituent of systems in particular. It is the particulate."
- Citation and context at System Totality, 7 Mar'73

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron is the smallest omnisymmetrical structural system in Universe."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1053.611053.61, 7 Mar'73

Tetrahedron
Index Entry
Tetrahedron:
"This primitive fourness identifies exactly with one quantum of energy and with the fourness of the tetrahedron's primitive structuring as constituting the 'prime structural system of Universe,' i.e., as the minimum omnitriangulated differentiator of Universe into insideness and outsideness, which alone, of all macro-micro Universe differentiators pulsates inside-outingly and vice versa as instigated by only one force vector impinging upon it."
- Citation and context at Number: Cosmically Absolute Number, 5 Mar'73

Tetrahedron
← Tetrahedron | Tetrahedron (1) →
Index Entry
Tetrahedron:
"We relinquish the word 'polyhedra' to re-employ our new term systematic enclosure which can be generalized to serve creatures of any size; i.e., a tetrahedron big enough for a mosquito or big enough for a whale. Faces are spaces, openings. The four vertexes plus four faces plus six lines of the tetrahedron has to become four somethings plus four nothings plus six relations. We add convergence to something and divergence to nothing-- completely independent of size. Since there are no 'things' there is no 'something.' We are talking about an event in pure principle. We have events and no-events. Events: novents: and relationships. These are the epistemological stepping stones."

Tetrahedron (1)
← Tetrahedron | Tetrahedron (2) →
Index Entry
Tetrahedron:
"The tetrahedron, which is the minimum system consists of four structural triangles and is therefore the minimum, ergo fundamental structural system in Universe.
"The minimum structural system's defining four points are those of the four vertexes of the tetrahedron which, being omnitri-angulated, are self-interstabilizing.
"The tetrahedron is at once both the minimum system, having both insideness and outsideness, but also consisting inherently of four triangles which are the only structures, the tetrahedron is the minimum structural system of Universe. The tetrahedron is the basic energy quantum. It is the minimum self-stabilizing energy integrity.
"All tetrahedra always have six great circle chord edges.
"When all of their nontriangular facets are triangularly stabilized to structuralize them, all structurally stabilized polyhedra will always have great circle edge chords whose number will always be an even multiple of six. The sum of the angles around all the facet corners of every tetrahedron,"
- Cite SET X, pp.13-14, Aug'72

Tetrahedron (2)
← Tetrahedron (1) | Tetrahedron →
Index Entry
regular or irregular, is always 720°. When circular unity is taken as 360°, every tetrahedron is angularly quantized as constituting two cyclic units.
"The great circle chords of all polyhedra are always found to be systematically developed out of sets of exactly six great circle chords, never more nor less. These six vectors are the six vectors of one quantum unit of energy. V° = 1 quantum.
"The octahedron's 12 vector edge chords are equal energywise to two sets of six-chord vectors, i.e., to two quanta."

Tetrahedron
← Tetrahedron (2) | Tetrahedron →
RBF Definitions
"The simplest sphere which is concave and convex is the tetrahedron."
Citations
- Univ. of Alaska Address, p.30, 20 Apr '72

Tetrahedron
Index Entry
Four balls are closest packed when a fourth ball is nested in the triangular valley formed atop the closest packed first three, which fourth ball addition occasions each of the four balls becoming tangent to all three of the other balls as altogether they form a tetrahedron; which is an omnidirectional symmetrical array with no ball at its center but with one ball at each of its four corners.

Tetrahedron
Index Entry
Tetrahedron:
"Mathematically, there are some very important concepts about the tetrahedron. It is made up of four triangles. The angles of each are interstabilized. Each of the separate angles, originally amorphous, becomes stable. The triangle is the fundamental structure, but it takes two functions--the positive and the negative--to make a structure. The tetrahedron is the simplest known structure."

Tetrahedron
Index Entry
Tetrahedron:
"In the conceptual process of developing the disciplines for carrying on the process of consideration, the process of temporarily putting aside the irrelevancies and working more closely for the relationships between the components that are considered relevant, we find that a geometry of configuration emerges from our awareness of the minimum considered components.
"A minimum constellation emerges from our preoccupation with getting rid of the irrelevancies. The geometry appears out of pure conceptuality. We dismiss the irrelevancies in the search for understanding, and we finally come down to the minimum set that may form a system to divide Universe into macrocosm and microcosm, which is a set of four items of consideration. The minimum consideration is a four-star affair that is tetrahedral. Between the four stars that form the vertexes of the tetrahedron, which is the simplest system in Universe, there are six edges that constitute all the possible relationships between those four stars."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-620.01620.01, Nov'71

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron is the supreme conceptual synergy of Universe."
- Cite RBF holograph, "Cheese Polyhedra," New Delhi, Nov. '71

Tetrahedron
Index Entry
Tetrahedrons occur conceptually independent of events and relative size. - Cite SYNERGETICS Corollaries, \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-240.00240, by RBF 11 Oct. '71, Haverford, Penna.

Tetrahedron
Index Entry
Tetrahedron:
"A six-trajectory isolation of insideness and outsideness has four interweaving vertexes or prime convergences of the trajectories, and four areal subdivisions of its isolation system and constitute tetrahedra."
- Cite SYNERGETICS Corollaries, \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-240.00240, by RBF 11 Oct. '71, Haverford, Penna.

Tetrahedron
Index Entry
Tetrahedron:
"Six unique vectors constitute a tetrahedral event."
- Cite SYNERGETICS Corollaries, \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-240.00240, by RBF 11 Oct. 51., Haverford, Penna.

Tetrahedron
Index Entry
Tetrahedron:
"We cannot produce constructively and operationally, a real experience-augmenting operational system, with less than four points, i.e., a fourth point not in the plane of the first three points. It takes three points to define a plane. The fourth point not in the plane of the first three produces a tetrahedron having insideness and outsideness corresponding with the reality of operational experience."
- Cite SYNERGETICS draft "Antitetrahedron," 7 Oct. '71. p. 1.(Dictated to EJA.)

Tetrahedron
Index Entry
Tetrahedron:
"Sixth powering is all the perpendiculars to the rhombic
dodecahedron which is all the internal truncations of
the tetrahedron."
-
Cite RBF to EJA, Bear Island, 25 August 1971.
-
Citation at Powering: Sixth Powering, 25 Aug'71

Tetrahedron
Index Entry
Tetrahedron:
"A cone is simply a tetrahedron being rotated. Omnidirectional growth-- which means all life-- can only be accommodated by tetrahedron."
Cite RBF to EJA, Bear Island, 25 Aug'71

Tetrahedron
Index Entry
Tetrahedron:
"We have used the tetrahedron as tripods for cameras and many such devices, but we have not used it as a volumetric concept."
- Cite RBF at SIMS, U. Mass, Amherst, 22 July '71, Talk 12, p. 26

Tetrahedron
Index Entry
Tetrahedron:
"For every tetrahedron there is one convex and one concave. Because the tetrahedron is inherently the minimum structural system, it provides the minimum omni-coexisting convexity and concavity condition in universe.
"For every tetrahedron there is an inside tetrahedron and an outside tetrahedron. . . Spherical arrays and compound curvature begin with the tetrahedron."
- Cite Synergetics draft Secs. 810.2 and 810.3, 22 July 1971.

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron accepts further closest packing of spheres.
The icosahedron refuses further closest packing. .."

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron, octahedron and icosahedron relate to physics, the internal affairs of the atom."
-
Cite RBF to EJA, Blackstone Hotel, Chicago, 31 May 1971
-
Citation & Context at Physics: Difference Between Physics and Chemistry, 31 May '71

Tetrahedron
Index Entry
Tetrahedron:
"Compound curvature begins with the tetrahedron. . . .
/je get this high frequency. . .The number of points
you want look like a sphere. . . Pl (π̄) is irrelevant
because the mnimum sphere is tetrahedron."
- Cite RPF tape to EJA and BO'R, Blackstone, Chicago.
31 May 1971, p. 18

Tetrahedron
Index Entry
Tetrahedron:
"Tetrahedron is the minimum sphere."
- Citation and context at Sphere, 31 May'71

Tetrahedron
Index Entry
Tetrahedron:
"A tetrahedron is a form of energy package."
- Cite RBF to EJA, Beverly Hotel, New York, 14 March 1971.

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron is the basic structural system of Universe. All polyhedra may be subdivided into component tetrahedra, but no tetrahedron may be subdivided into component polyhedra of less than the tetrahedron's four faces."
- Cite Synergetics draft at \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-506.00506, March '71 as rewritten by RBF. (Originally from I & I, p. 166.)

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron is a vectorial model of one quantum of energy. The tetrahedron is the basic structural system of Universe."
- Cite NEHRU SPEECH, p. 14, 13 Nov'69

Tetrahedron
Index Entry
Tetrahedron:
"A tetrahedron is a triangularly faceted polyhedron of four faces. It is unique as a system for it is the minimum possible system. . .
"A triangle is a triangle independent of its edge-sizing; as is the tetrahedron independent of edge lengths or its relative volume. In tetrahedrons of any size the angles are always sum-totally 720 degrees. Tetrahedrons always have six edges, four faces, and four vertices."
"We can say that the difference between any conceptual system and total but non-simultaneously conceptual-- and of course non-simultaneously sensorial-- scenario Universe is always one tetrahedron of whatever size may be necessary to account for the balance of all the finite quanta thus far accounted for in scenario Universe, outside the conceptual system considered."
-Cite NEHRU SPEECH, p. 14, 13 Nov'69

Tetrahedron
Index Entry
Tetrahedron:
"As an appendix to my discourse, I am presenting a chart of the [Synergetic] hierarchy of rational vectorial-geometric relationships which characterize general systems discovery of the tetrahedron as the basic structural unit of physical Universe quantation."
- Cite Nehru Speech, p. 29. 13 Nov'69

Tetrahedron
Index Entry
Tetrahedron:
"Thus we see both the rational energy quantum of physics and the topological tetrahedron of the isotropic vector matrix rationally accounting all physical and metaphysical systems."
-
Citation at Isotropic Vector Matrix, 13 Nov'69
-
Cite Nehru Speech, p. 31. 13 Nov'69
TETRAHEDRON - SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-620.82620.82 + \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-424.82424.82.

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron is the minimum structural system for we cannot find an enclosure of less than four sides-- which is to say-- of less than 720° of interior (or exterior) angle interaction."
- Cite Nehru Speech, p. 14. 13 Nov'69

Tetrahedron
Index Entry
Tetrahedron:
"... Now I have a fourth ball that comes around in there and it nests on top of the first three. ... This makes a tetrahedron. This is where stability begins. The tetrahedron is where the triangle gives what we call a 'structure,' or something that doesn't change its pattern any more. It was dynamic up to that time."
- Citation and context at Structure, 25 Feb'69

Tetrahedron
Index Entry
Tetrahedron:
"A tetrahedron is the simplest subdivision of universe."
- Cite P. PEARCE, Inventory of Concepts, June 1967

Tetrahedron
Cross Reference
Tetrahedron:
"The volume of a tetrahedron is one-third the base area times the altitude. Any arbitrary tetrahedron will have a volume equal to any other tetrahedron so long as they have common base areas and common altitudes.
"As the tetrahedron is pulled out from the cube the circumference around the tetrahedron remains equal when taken at the points where cube and tetrahedron edges cross, i.e., any rectangular plane taken through the regular tetrahedron will have a circumference equal to any other rectangular plane taken through the same tetrahedron and this circumference will be twice the length of the tetrahedron edge."
1967
(See Illustration #20.) - Cite SYNERGETIC ILLUSTRATIONS, caption 2(

Tetrahedron
Index Entry
Tetrahedron:
"The stable structural behavior of a whole triangle, which consists of three edges and three individually and independently unstable angles or a total of six components, is not predicted by any one or two of its angles or edges taken by themselves. The six edges of the two triangles can and frequently do associate with one another, one as left helix and the other as right helix, to form the six-edged tetrahedron which having four triangular faces gives synergetic demonstration of four triangles occurring as the result of associating only two triangles. Incidentally, the right and left helixes formed of the two triangles' respective sets of three edged each constitute the vectorial modelling in conceptual array of the positive and negative 'half spins' or 'half quanta' corresponding respectively to the proton set and the neutron set consisting neutron, positron and neutrino on the left hand and the proton, electron, and antineutrino on the right hand. Together these six make one quantum unit-- which is identified as the tetrahedron."
- Cite DOXIADIS p. 312, 313, 20 Jun'66

Tetrahedron
Index Entry
Tetrahedron:
"Tetrahedra have a fundamental prime number: oneness."
--0400-Carbondale-Draft
Return-to-Modelability,-p.-4-7
- Cite NASA Speech, p. 72. Jun'66

Tetrahedron
Index Entry
Tetrahedron:
"When we use the term 'regular' tetrahedron we mean all six of its edges are approximately equal in length."
"The tetrahedron is one of Plato's 'solids.' The Greeks tried hard to employ the regular, i.e., equi-edged, tetrahedra to 'fill all space' but failed to find a way and gave it up."
- Cite Carbondale Draft
Return to Modellability, p. V.2
- Cite NASA Speech, Jun'66

Tetrahedron
RBF Definitions
When we try to fill all space with tetrahedra, we are frustrated because the tetrahedra won't fill in all the voids above the triangular based grid pattern." - Cite NASA Speech, p.68. Jun'66

Tetrahedron
Index Entry
Tetrahedron:
". . . The cube requires threefold the energy to structure it as compared with the tetrahedron. We thus understand why nature uses the tetrahedron as the unity of energy, as its energy quantum, because it is three times as efficient."
- Cite Nasa Speech, p. 72. Jun'66

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron with three positive edges and three negative edges consists of two half quanta. These add to exactly one quantum unit. The tetrahedral quantum unit constitutes the basic structural system of universe. It is transformable, but its topological and quantum identity persists in whole units throughout all experiments with physical universe. It is the only polyhedron that can be turned inside-out and vice versa by one energy event."
- Cite NASA Speech, p. 56, Jun'66

Tetrahedron
Index Entry
Tetrahedron:
"The twelve degrees of freedom are also then identified as the push-pull directions of the tetrahedron's six edges."
- Cite RBF Ltr. to Prof. Theodore Caplow, 18 Feb. '66.

Tetrahedron
Index Entry
Tetrahedron:
"The minimum set that may form a system to divide universe into micro and macro cosms is a set of four items of consideration. Between four stars that form the vertexes of the tetrahedron, which is the simplest system in universe, there are six edges that constitute all the possible relationships between those four stars."
- Citation & context at Star Events, Oct'65

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron is a six-edged pyramidal frame.... We may link tetrahedra in six different directions."
- Citation and context at Pauling, Linus, 1965

Tetrahedron
Index Entry
Tetrahedron:
"Tetrahedra . . . are the volumes bound by the planes of four edge-joined triangles."
- Citation and context at Fourth Dimension, 1965

Tetrahedron
Index Entry
Tetrahedron:
"Tetrahedrons are inherently 'comfortable' and do not tend to transform into other shapes while cubes tend to collapse."
- Cite CONCEPTUALITY OF FUNDAMENTAL STRUCTURES, Ed. Kepes, 1965. p. 82.

Tetrahedron
Index Entry
Tetrahedron:
"Of the three fundamental structures the tetrahedron contains the least volume with the most surface and is therefore the strongest structure per unit of volume."
- Cite Mexico '63, p. 28. 10 Oct'63

Tetrahedron
Index Entry
Tetrahedron:
"I am just going to give you tetrahedron. Around any one vertex in the tetrahedron there are three planes. You can see them going around. Looking down on the top of a tetrahedron you see three planes and three edges. You see three faces and three edges around any one vertex. That seems very symmetrical and nice. You say that is logical. How can it be anything else. If you think about it any more it is rather strange because it is three edges and three faces out of an inventory of four faces and six edges. They are not the same inventories. It is interesting that you could come out with symmetry around each of these points out of a dissimilar inventory."

Tetrahedron
Index Entry
Tetrahedron:
"Tetrahedron is an indestructible, conceivable phenomenon independent of size."
- Citation & context at Vector Equilibrium: Zero Tetrahedron (3), 11 Jul'62

Tetrahedron
Index Entry
Tetrahedron:
"The tetrahedron will not fill all space. . . But we can fill all space with tetrahedra and octahedra."
-Cite-Carbondale-Draft
--Natures-Coordination,-p.-VI.13
-
Atto-Oregon-Lecture #6, p. 216, 10 Jul'62
-
Citation & context at Allspace Filling, 10 Jul'62

Tetrahedron
Index Entry
Tetrahedron:
". . . My definition of tetrahedron as a first subdivision of universe, the simplest subdivision of universe. It could not have an insideness and an outsideness unless it had four vertexes and six edges."
Cite OREGON LECTURE # 5 - p. 175. 9 Jul'62

Tetrahedron
Cross Reference
Tetrahedron:
"There is nothing at all polarized about tetrahedron or icosaheIron..."
Citation at Icosahedron, 9 Jul'62
Cross-References
- Icosahedron, 8 Apr'75

Tetrahedron
Index Entry
Tetrahedron:
"By tetrahedron . . I mean the minimum thinkable set that would subdivide Universe and have interconnectedness where it comes back upon itself. The four points have six inter-relatednesses. You might say that four is a minimum system. . . . There are two kindsof number systems here: four being prime number two and six being prime number three, that are involved. So there are two very important kinds of oscillating quantities number-wise and they begin to generate all kinds of fundamentally useful mathematics."
- Cite Oregon Lecture #3, p. 90. 5 Jul'62

Tetrahedron
← Tetrahedron | Tetrahedron (2) →
Index Entry
Tetrahedron:
"At all times we are seeking how it can be that nature can develop a virus and billions of beautiful bubbles in the wake of the ship. How does she formulate these lowvely geometries so rapidly. She must have some fundamental pure simple way of developing these extraordinary life cells at the rate she develops them. When we get down to something as simple as finding the tetrahedron was the minimum thinkable set that subdivided the Universe, and had relatedness that we could really establish-- and to find that the organic chemist from an entirely different viewpoint came down to tetrahedron as apparently controlling-- the tetrahedron in this case would join vertex to vertex-- and then the metallurgist half a century later discovering the tetrahedron, but they were not interrelated vertex to vertex but they were interlinked edge to edge. So all the chemists found all the structuring of nature to be tetrahedrally contrived, the minimum system, and we find our thought going that way and it is again a comfortable experience."
- Cite Oregon Lecture #3, pp.90-91, 5 Jul'62

Tetrahedron (2)
Index Entry
Tetrahedron:
"Organic chemistry and inorganic chemistry are both tetrahedrally coordinate. This relates to the thinking process where the fundamental configuration came out = a tetrahedron. Nature's formulations here are a very, very high frequency thing-- nature makes viruses and things in split seconds. Whatever she does has very high frequency and certain simultaneous acts, sort of fundamental relationships, occur. We come to tetrahedron as the first spontaneous aggregate of the experiences. We discover that nature is using tetrahedron in her fundamental formulation of the organic and inorganic chemistry. All structures are tetrahedrally based and we find our thoughts resolving themselves spontaneously into the tetrahedron so it should come to us as something very interesting when we begin to get what we might call generalization of these special cases which are the physics or the chemistry."
- Cite OREGON UNIVERSITY Lectures, 1962
Second Lecture, p. 75
2 Jul'62
TETRAHEDRON - SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-620.08620.08

Tetrahedron
← Tetrahedron (2) | Tetrahedron →
Index Entry
Tetrahedron:
"So we have come to structure and we have come to pattern. Pattern has emerged first from our preoccupation with getting rid of the irrelevancies and out of it has emerged a minimum constellation, a minimum consideration and it is a four star affair. It is tetrahedral. It is very amazing to have a geometry just appear out of our just considering what is thought. We have come to some conceptuality and this conceptuality is essential to this thinking process. When we say, 'I understand,' there is some conceptuality finally developed."
- Cite Oregon Lecture #2, p. 69. 2 Jul'62

Tetrahedron
Index Entry
Tetrahedron:
"A polyhedron having four equal equilateral triangular plane faces or sides. Like the octahedron, it may be skeletal, continuous, or a combination of the skeletal and continuous forms."
- Cite Patent I'o. 2,986,241. I'ay 30, 1961 SYNERGETIC BUILDING CONSTRUCTION

Tetrahedron
RBF Definitions
"If we combine, first, the fact of van't Hoff's discovery that all the organic chemical compounds are structurally cohered in the terms of the tetrahedra's four vertexes and, secondly, the fact of Linus Pauling's X-ray diffraction implemented discovery that all the metallic elements thus far experimentally analyzed combine in nonvertexially interlinked tetrahedronal structures, and thirdly, the facts which I have disclosed in this and the preceding pages, we may well conclude that it is reasonable to adopt the working assumption that: all of the definable structuring of Universe is tetrahedrally coordinate in rational number increments of the tetrahedron."

Tetrahedron
Index Entry
"Substituting the tetrahedron for the number two completes my long attempt to convert all the residual heretofore unidentifiable integers of topology into geometrical conceptability."
- Citation at Unity as Two, 1960

Tetrahedron
Index Entry
Tetrahedron:
"All of the definable structuring of universe is tetrahedrally coordinate in rational number increments of the tetrahedron."
- Cite OMNIDIRECTIONAL HALO, p. 151, 1960
TETRAHEDRON - SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-620.67620.67

Tetrahedron
Index Entry
"The minimum set affording macro-micro separation of Universe is a set of four local event foci. These four stars have an inherent sixness of relationships. This four-foci, six-relationship set is definable as the tetrahedron." (Adapted)

Tetrahedron
Index Entry
Tetrahedron:
"In a consideration four is the minimum number of stars having an inherent arrangement of withinness and withoutness. Therefore we discover next that the minimum conceptually-considerable generalized-experiences-set, affording macro-micro separation of universe, is a set of four local event foci. These four stars have and inherent sixness of interrelationships. This four-foci, six-relationship set is definable as the tetrahedron. This minimum fourness of relevant-frequency, ergo thinkable 'stars' coincides with quantum mathematics requirement of four unique quanta numbers per each uniquely considerable 'particle' quanta are inherently tetrahedral."

Tetrahedron
Index Entry
Tetrahedron:
"Among geometrical systems a tetrahedron encloses the minimum volume with the most surface and a sphere the most volume with the least surface."
- Cite OMNIDIRECTIONAL HALO, p. 141, 1960

Tetrahedron
Index Entry
Tetrahedron:
"In structural systems the tetrahedron uniquely articulates the prime number 1, and is therefore logically to be identified as the most economic quantation unit in universal energy accounting."
- Cite "Dymaxion World of RBF," Marks, Ed., p. 48, 1960

Tetrahedron
Index Entry
The tetrahedron is the lowest common rational denominator of universe. The four unique quanta numbers of each and every fundamental 'particle' are the four unique and minimum 'stars' of every tetrahedron.

Tetrahedron
Index Entry
Tetrahedron:
"All polyhedra may be subdivided into component tetrahedra, but no tetrahedron may be subdivided into component polyhedra of less than four faces."
- Cite PENNA. TRIANGLE, p. 10, Nov '52

Tetrahedron
Index Entry
Tetrahedron:
"It is a synergetic characteristic of minimum structural systems (tetra) that the system is not stable until the last strut is introduced. Redundancy cannot be determined by energetic observation of behaviors of single struts (beams or columns) or any chain-linkage of same which are less than six in number, or less than tetrahedron."
- Cite RBF undated holograph on M.I.T. memo pad. (1950's)

Tetrahedron
← Tetrahedron | Tetrahedron as Conceptual Model →
Index Entry
Tetrahedron:
"All polyhedra may be subdivided into component tetrahedra, but no tetrahedron may be subdivided into component polyhedra of less than four faces."
-
Cite I&I, p. 166
-
Cite DOMES, Their Long History,etc. Date undetermined

Tetrahedron as Conceptual Model
← Tetrahedron | Tetrahedron as Conceptual Model →
Index Entry
Tetrahedron as Conceptual Model:
"I do not recognize lines or planes as nonsponaneously reflexed.
"Primitive geometric conceptuality occurs independently of time-size dimensioning. A tetrahedron is conceptual independently of relative size consideration. It is conceptual as a self-bounding system of six most-economical interrelationship directions induced by any thinkable constellation of four only-separately-discernible, concurrent-event 'stars.'"

Tetrahedron as Conceptual Model
← Tetrahedron as Conceptual Model | Tetrahedron as Conceptual Model →
Index Entry
Tetrahedron as Conceptual Model:
"Organic and inorganic chemistry are both tetrahedrally coordinate. This relates to the thinking process where the fundamental configuration came out a tetrahedron.... We come to the tetrahedron as the first spontaneous aggregate of the experiences.... All structures are tetrahedrally based and we find our thoughts resolving themselves spontaneously into the tetrahedron as it comes to the generalization of the special cases that are the physics or the chemistry."
- Citation & context at Organic & Inorganic, Nov'71

Tetrahedron as Conceptual Model
← Tetrahedron as Conceptual Model | Tetrahedral Coordination of Nature →
Cross Reference
Cross-References
- Cognition, 1960

Tetrahedral Coordination of Nature
← Tetrahedron as Conceptual Model | Tetrahedron: Coordinate Symmetry →
Index Entry
Tetrahedral Coordination of Nature:
"Now combining van't Hoff and Pauling and our own experimental explorations, we may dare to guess that because experimental chemistry has as yet found no contradiction to tetrahedral linkage, despite vast probing, all the structuring of nature is probably done by rational tetrahedral increment coordination in which the XYZ coordinates also may be employed to describe the arrangements but only in awkward irrationality because of the cube edges' inherent irrationality in respect to their cubic face diagonals' hypotenuse values, which hypotenuses are the edges of the tetrahedra in the omnidirectional matrix of vectors in the natural structuring itself. The contemporary development of giant electronic computers makes the handling of the XYZ awkwardness a practical matter but serves to obscure the significance of my discovery of nature's own rational, nonsimultaneous, vectorial coordinate system oriented to the tetrahedron-octahedron lattice and its importance to fundamental clarity of thinking in a democratically-coagulating world bewildered by a 'foreign-hieroglyphicking' science."
- Cite Conceptuality of Fundamental Structures (Kepes),p.76, 1965
PART OF ABOVE AT "FRAME OF REFERENCE SEC \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-540.11540.11

Tetrahedron: Coordinate Symmetry
← Tetrahedral Coordination of Nature | Tetrahedron: Coordinate Symmetry →
Index Entry
Tetrahedron: Coordinate Symmetry:
"Tetrahedra are geometrically unique in that they may be added to on any one of their four surfaces while increasing symmetrically in size. The tetrahedron may grow symmetrically by adding to any one of its faces .... without changing overall shape."
- Cite PLAYBOY, P. 12, Feb'72

Tetrahedron: Coordinate Symmetry
← Tetrahedron: Coordinate Symmetry | Tetrahedron: Coordinate Symmetry →
Index Entry
Tetrahedron: Coordinate Symmetry:
"The production of motion and spiral and wave by alteration of face couples:
"All apparent motion and growth and variable time frequencies of local occurrences of Universe are permitted by tetrahedron's local asymmetrical alterability without ever altering absolute integrity of symmetry of the whole system. The tetrahedron is the supreme conceptual synergy of Universe."

Tetrahedron: Coordinate Symmetry
← Tetrahedron: Coordinate Symmetry | Tetrahedron: Coordinate Symmetry →
Index Entry
The tetrahedron in contradistinction to any other Platonic symmetrical solid, can be sliced (like a cheese) parallel to any one of its faces and retain its original symmetry and identity. It gets smaller but never loses its coordinate symmetry. The tetrahedron can be altered in respect to any one of its four faces asymmetrically. As we press any one face towards its opposite vertex, the tetrahedron gets smaller and smaller.
So there are three different aspects of size: linear, areal and volumetric and each one has a different velocity. Now as you move one of the tetrahedron's faces towards its opposite vertex, you get smaller and smaller with these three different velocities operative. But it always remains a tetrahedron so it always has six edges, four vertexes and four faces. So the symmetry is not lost and these fundamental topological aspects, the 60-degreeness, never changes. As they move in finally, when they become congruent to the opposite vertex, all these velocities come to zero at the same time. But because the 60-degreeness, the six edges, and the four faces and symmetry were never being altered,

Tetrahedron: Coordinate Symmetry
← Tetrahedron: Coordinate Symmetry | Tetrahedron →
Index Entry
Tetrahedron: Coordinate Symmetry:
"they were not variables. The only variable was size. So size and size alone can come to zero. The conceptuality of these aspects never changes."
- Cite RBF to EJA, Blackstone Hotel, Chicago, transcript pp. 25-26, 31 May'71

Tetrahedron
← Tetrahedron: Coordinate Symmetry | Tetrahedron →
Cross Reference
Coordinate Symmetry:
"The tetrahedron is uniquely indestructible. A plane passed through the figure parallel to any one face does not alter its regularity.
"When an equilateral triangle is divided into four identical smaller triangles it will fold into a tetrahedron.
"When any arbitrary triangle is divided into four congruent triangles by bisecting its edges and joining them with new edges, it will also fold into a tetrahedron-- an irregular tetrahedron bounded by four congruent faces."
- Cite SYNERGETICS ILLUSTRATION, caption #19. May'67
Cross-References
- Illustration #19

Tetrahedron
← Tetrahedron | Tetrahedron: Coordinate Symmetry →
Index Entry
Tetrahedron: Coordinate Symmetry:
"Only the tetrahedron can be altered asymmetrically in respect to one of its faces and still remain completely symmetrical. This seems to be one of the very important properties of the tetrahedron. . . .
"The tetrahedron is a very extraordinary phenomenon in that its symmetry, its size, is not violated by accommodating two completely disparate rates of change. . . it would stay on as a volume. . . a kind of gas . . . moving around the universe, being accredited locally and accommodating all kinds of local transactions.
"The symmetry, the sixness, and the fourness are all constant."
- Cite LEDGEMONT LAB LECTURE, 15 Oct. '64, pp23-25

Tetrahedron: Coordinate Symmetry
← Tetrahedron | Tetrahedron: Coordinate Symmetry (1) →
Index Entry
Of "all the .. symmetrical figures I find only the tetrahedron has an integrity of symmetry independent of local alterations. It is possible to receive changes in respect to one part or direction of the universe and not in the direction of the others and still have the symmetry of the whole. A tetrahedron has a strange property of coordinate symmetry that permits alterations locally without hurting the symmetrical coordination of the whole."

Tetrahedron: Coordinate Symmetry (1)
← Tetrahedron: Coordinate Symmetry | Tetrahedron: Coordinate Symmetry (2) →
Index Entry
Tetrahedron: Coordinate Symmetry:
"Let me then take a tetrahedron of cheese and I am going to press in on one of the faces instead of slicing it. It remains symmetrical all right. But I am going to pull out on a second face at the same rate that I pushed in on the first face; so now it remains the same size. It is still symmetrical but the pushing of the first face made it get a little smaller, but pulling out on the second face made it get larger. By pushing and pulling at the same rate it remains the same size, but its center of gravity has to change because the tetrahedron moves. As a consequence, then, of the tetrahedron moving it receives a couple of alterations. It receives one positive and one negative alteration, remains symmetrical and the same size, and apparently moves. I have only used up two of the four faces, so I am going to push in on the third face at a rate different from the couple that are already operating, and I am going to pull out on the fourth face at the rate I was pushing in on the third face. I am making another completely different rate of change: one being very fast and the other slow; one very hard and the other quite soft. These completely different rates are coupled, and so it remains symmetrical and the same size, but now it has to change its position to satisfy two alterations to the center of gravity and so it is moving in a kind of helix. It is one of our precessional results."
- Cite OREGON Lecture #6, pp. 208-9. 10 Jul'62

Tetrahedron: Coordinate Symmetry (2)
← Tetrahedron: Coordinate Symmetry (1) | Tetrahedron: Coordinate Symmetry →
Index Entry
Tetrahedron: Coordinate Symmetry:
"Tetrahedron has a very extraordinary capability, then, of remaining symmetrically coordinate and entertaining a pair of completely disparate rates of change in respect to the rest of universeand not changing its size and then it becomes a universal joint to couple up disparate actions in universe. I am not at all surprised that we began to find such a property and that nature was using it in the coordination of the organic chemistry or the metals. In fact, when I began to posit for you all the coordinating of nature that is done by the tetrehedron, we find that this is an extraordinary quality and it begins to be quite exciting."
- Cite OREGON Lecture #6, p. 209. 10 Jul'62

Tetrahedron: Coordinate Symmetry
← Tetrahedron: Coordinate Symmetry (2) | Tetrahedron: Coordinate Symmetry →
Cross Reference
Tetrahedron: Coordinate Symmetry:
"Only the tetrahedron has an integrity of symmetry independent of local alterations. It is possible then to receive changes in respect to one part or direction of the universe and not in the direction of the others and still have the symmetry of the whole. A tetrahedron then has a strange property of coordinate symmetry that permits alteration locally without hurting the symmetrical coordination of the whole."
- Cite OREGON Lecture #6 - p. 208, 10 Jul'62
Cross-References

Tetrahedron: Coordinate Symmetry
← Tetrahedron: Coordinate Symmetry | Tetrahedron: Coordinate Symmetry →
Index Entry
Of "all the . . . symmetrical figures I find only the tetrahedron has an integrity of symmetry independent of local alterations. . . . A tetrahedron has a strange property of coordinate symmetry that permits alterations locally without hurting the symmetrical coordination of the whole." - Cite OREGON Lecture #£ - p. 208, 10 Jul'62 - Cite Carbondale Draft Nature's Coordination, p. VI.5

Tetrahedron: Coordinate Symmetry
← Tetrahedron: Coordinate Symmetry | Tetrahedron: Coordinate Symmetry →
Index Entry
Tetrahedron: Coordinate Symmetry:
"I am going to have a cheese tetrahedron and I am going to slice parallel to one of its faces, and what is left is still a regular tetrahedron and all the edges are equal. I can now slice parallel to one of its other four faces, and it is a smaller tetrahedron but it is still regular and symmetrical. I slice parallel to the third face and it is smaller still but still symmetrical. I slice parallel to the fourth face and what remains is still symmetrical. Then we take any other symmetrical geometry, such as a cube, and I am going to slice parallel to one of its faces, and what is left over is no longer symmetrical. I try it with an octahedron and slice parallel to one of its faces, and what is left over is not symmetrical. In fact, if you try all the other symmetrical geometries, only the tetrahedron has an integrity of symmetry independent of local alterations...."

Tetrahedron: Coordinate Symmetry
← Tetrahedron: Coordinate Symmetry | Tetrahedron Coordinate Symmetry (1) →
Index Entry
Tetrahedron: Coordinate Symmetry:
"The tetrahedron has a very extraordinary capability of remaining symmetrically coordinate and entertaining a pair of completely disparate rates of change in respect to the rest of universe and not changing its size, so it becomes a universal joint to couple up disparate actions in the universe. I am not at all surprised that we find such a property which nature uses in the coordination of the organic chemistry or of the metals demonstrable. (?)"
-
Cite O'EGON Lecture #6 - p. 209, 10 Jul'62
-
Cite Carbondale Draft Nature's Coordination, p. VI.6

Tetrahedron Coordinate Symmetry (1)
← Tetrahedron: Coordinate Symmetry | Tetrahedron Coordinate Symmetry (2) →
Cross Reference
Tetrahedron: The Transmitting Differential
Tetrahedron Displacement
Tetrahedron: Dissimilar Rate of Change
Cross-References

Tetrahedron Coordinate Symmetry (2)
← Tetrahedron Coordinate Symmetry (1) | Tetrahedron Discovers Itself and the Universe →
Cross Reference
Cross-References
- Universal Joint: Tetrahedron, 9 Nov'73

Tetrahedron Discovers Itself and the Universe
← Tetrahedron Coordinate Symmetry (2) | Tetrahedron →
Cross Reference
Cross-References

Tetrahedron
← Tetrahedron Discovers Itself and the Universe | Tetrahedron: Dissimilar Rate of Change Accommodation (1) →
Index Entry
Tetrahedron: Dissimilar Rate of Change Accommodation:
"The tetrahedron's four faces may be identified as A, B, C, and D. Any two of these four faces can be coupled and can be paired with the other two to provide the dissimilar energy rate-of-exchange accommodation. . . .
". . . Any one tetrahedron can accommodate 15 different amplitude (A) and, or frequency (F) of interexchanging without altering the tetrahedron's size while, however, always changing the tetrahedron's apparent occurrence local; therefore the number of possible alternative exchanges are three; i.e., AA, AF, FF; therefore 3 x 15 = 45 different combinations of interface couplings and message contents ## can be accommodated by the same apparent unit-size tetrahedron, the only resultants of which are the 15 relocations of the tetrahedrons and the 45 different message accommodations."
- Cite excerpts from new section added by RBF to SYNERGETICS galley at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-623.12623.12, 9 Nov'73

Tetrahedron: Dissimilar Rate of Change Accommodation (1)
← Tetrahedron | Tetrahedron Dissimilar Rate of Change Accommodation (2) →
Cross Reference
Cross-References

Tetrahedron Dissimilar Rate of Change Accommodation (2)
← Tetrahedron: Dissimilar Rate of Change Accommodation (1) | Tetrahedral Dynamics (1) →
Cross Reference
Cross-References
- Universal Joint, 10 Jul'62
- Hyperbolic Paraboloid: Four-frequency, 14 May'75

Tetrahedral Dynamics (1)
← Tetrahedron Dissimilar Rate of Change Accommodation (2) | Tetrahedral Dynamics (2) →
Index Entry
Tetrahedral Dynamics:
"... I am averse to the word 'immobilize'. It belongs to the 'static norm' of Newton's 'persistence... in a state of rest'. This is a way of thinking threatened by relativity and annihilated by contemporary physical science. I have attempted a new generalized statement of a 'First Law of Acceleration,' which goes as follows:
All local event systems (Newton's 'bodies') are in relevant continuity of frequency accelerations with a plurality of local and comprehensive patterning consequences, and all other local systems of macro and micro degrees affect all other local systems of Universe in varying degrees of angle and frequency modulation; and the effect of all the local systems of events upon any and all other systems of local events is precessional.
"The word 'immobility' tends to induce a phobia of imprisonment. When we consider the experience of positioning an object by balancing it upon the end of a pole, thrust outwardly toward the sky, the other end of which pole we can balance on our"

Tetrahedral Dynamics (2)
← Tetrahedral Dynamics (1) | Tetrahedral Dynamics (3) →
Index Entry
Tetrahedral Dynamics:
"finger's end as we progressively adjust the pole's bottom position in such a manner as to keep its center of gravity in the position of the apex of a tetrahedron, the three lower vertexes of which we alternately reoccupy by our progression of finger accelerations in directions approximately circumferential to Earth-- the higher the frequency of adjustment acceleration, the smaller the base of the tetrahedron need be to correct for the plurality of precessional forces comprehensively operative ( as for instance wind motion, Earth rotational moment, etc.) This is then tetrahedral dynamics. When we come to the high frequency of atomic events we witness angular modulation in regenerative patterns of self interference of positive and negative action and reaction precessionally resultant in local holding patterns wherein we realize the micro limit integrities of the local event dynamics.
"I think your words 'right' and 'left' should be replaced by the nonequal and opposite words 'positive' and 'negative'. The present dilemma of science in respect to 'parity' of right and left image amuses me because I had rejected right and left concepts in energetic-synergetic geometry. Right and left implied a two-dimensional reality, of infinite thinness. I had"

Tetrahedral Dynamics (3)
← Tetrahedral Dynamics (2) | Tetra Edge →
Index Entry
Tetrahedral Dynamics:
"long ago discovered that systems had inherent convexity and concavity and required irreversible turbining of their omni-geared Universe event relationships. Inasmuch as all systems could be turned inside-out, having inherent insideness and outsideness, I discovered that mirror reversal of the rubber glove from one hand to the other could be accomplished without reversal of the finger-wrist axis. I think your words 'up' and 'down' are meaningless. Which direction is up? Which is down? Are people in China upside down? Which star should one's head be pointing at to be identified as 'up'? What you mean is what you say in your next phrase, i.e., in and out. Aviators come in for a landing and go out for altitude. In and out refer to focal centers of systems of local events of Universe only. 'In' is unique to individual systems. One 'out' is common to all systems and is omnidirectional in respect to any one system and Universe, being a plurality of continuities of local dynamical experiences, the direction out of Universe is not integrative as geometrically identifiable as it is permeative and comprehensive of experience. The outness permeates the nuclear event remoteness. I think what you mean by 'unitary linear vertical supports' refers to my altitudinally exaggerated tetrahedral dynamic equilibrium."
- Cite RBF Ltr. to Lewis E. Lloyd, 4 May'57

Tetra Edge
← Tetrahedral Dynamics (3) | Tetra Edge (1) →
Index Entry
Tetra Edge:
"Nature uses the tetra edge as mensural unity."
- Citation & context at Mensural Unity, 21 Sep'71

Tetra Edge (1)
← Tetra Edge | Tetra Edge (2) →
Cross Reference
See Constant Volume of A & B Quanta Modules
Cross-References
- Constant Volume of A \& B Quanta Modules
- Control Line of Nature
- Control Quantum
- Cube: Diagonal of Cube
- Deliberately Nonstraight Line
- Mensural Unity
- Photon: Tetrahedron Edge as Unit Radius
- Prime Vector
- Radial Line as Tetra Edge
- Precession of Tetra Edges

Tetra Edge (2)
← Tetra Edge (1) | Tetrahedron: Four Unique Planes →
Cross Reference
Cross-References
- Synergetics Constant
- Unit Radius, 17 Jan'74

Tetrahedron: Four Unique Planes
← Tetra Edge (2) | Tetrahedron: Four Unique Planes →
Index Entry
Tetrahedron: Four Unique Planes:
"...The four unique, symmetrically interdisposed planes of the regular tetrahedron."
- Citation and context at Vector Equilibrium (1), 1965

Tetrahedron: Four Unique Planes
← Tetrahedron: Four Unique Planes | Tetrahedron: Four Unique Planes →
Index Entry
Tetrahedron: Four Unique Planes:
"There is a maximum set of four planes nonparallel to one another but omnisymmetrically mutually intercepting. These are the four sets of the unique planes always comprising the isotropic vector matrix. The four planes of the tetrahedron can never be parallel to one another."
- Cite RBF rewrite of 30 Oct'72 of SYNERGETICS draft Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-971.03971.03 of Jan'72. Reinserted at \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-962.04962.04, 17 Nov'72

Tetrahedron: Four Unique Planes
← Tetrahedron: Four Unique Planes | Tetrahedral Growth →
Index Entry
Tetrahedron: Four Unique Planes:
"There are a minimum of four unique planes nonparallel to one another. The four planes of the tetrahedron can never be parallel to one another."
- Cite RBF to EJA, Beverly Hotel, 14 Sept. 1971.

Tetrahedral Growth
← Tetrahedron: Four Unique Planes | Tetrahedron: Hierarchy of Pulsating Tetrahedral Arrays →
Index Entry
Tetrahedral Growth:
"With each row greater than the next, three automatically goes into two in a convergent, planarly-arrayed, nonstructurally-stable system and two automatically goes into three in a divergent, planarly-arrayed, nonstructurally-stable system. Tetrahedral expansion or contraction produces a structurally stable systematic model of universal behavior. In tetrahedral growth one goes to three and three goes to six and six goes to 10. Tetrahedral growth from unity is special case angularly directional. Vector equilibrium growth from unity is nuclear: 1 → 12, 12 → 42, 42 → 92, etc."
- Cite m SYNERGETICS, 2nd. Ed., at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-260.52260.52; 13 Nov'75

Tetrahedron: Hierarchy of Pulsating Tetrahedral Arrays
← Tetrahedral Growth | Tetrahedron: Hierarchy of Pulsating Tetrahedral Arrays →
Index Entry
Tetrahedron: Hierarchy of Pulsating Tetrahedral Arrays:
"This completes the polyhedral progression of the omni-phase-bond-integrated hierarchies of 1-2-3-4,8-- symmetrically expanded and symmetrically subdivided tetrahedra; from the 1/24th tetrahedron (12 positive and 12 negative A Quanta Modules); through its octavalent 8-in-1 superficial volume-1; expanded progressively through the quadrivalent tetrahedron; to the quadrivalent octahedron; to the bivalent vector equilibrium; to the univalent, 28-volume, radiant, symmetrical, nucleus-embracing stage; and thence exploded through the volumeless, flatout outfolded, double-bonded (edge-bonded), 120 A Quanta Module-triangular array remotely and symmetrically surrounding the nuclear volumetric group; to final dichotomizing into two such flatout half (positive triangular) film and half (negative triangular) void arrays, single-bonded (corner-bonded), icosahedrally shaped, symmetrically nuclear- surrounding systems."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-905.48905.48, 16 Dec'73

Tetrahedron: Hierarchy of Pulsating Tetrahedral Arrays
← Tetrahedron: Hierarchy of Pulsating Tetrahedral Arrays | Tetrahedron: Inside-outing of Tetrahedron →
Cross Reference
Cross-References

Tetrahedron: Inside-outing of Tetrahedron
← Tetrahedron: Hierarchy of Pulsating Tetrahedral Arrays | Tetrahedron: Inside-outing of Tetrahedron →
Index Entry
Tetrahedron: Inside-outing of Tetrahedron:
"Both the coexisting concave and convex aspects of the icosahedron-- like those of the octahedron, but unlike those of the unique case of the tetrahedron-- are always visually obvious on the inside and outside of the only locally dimpled-in, or nested-in, vertex. In both the octahedron and the icosahedron, the concave-convex, only inwardly pulsative self-transforming always produces visually asymmetrical transforming; whereas the tetrahedron's permitted inside-outing pulsatively results only in a visible symmetry, the quasi-asymmetry being invisibly polarized with the remainder of Universe outside the tetrahedron which, being omniradially outward, is inferentially-- but not visually-- symmetrical; the only asymmetrical consideration of the tetrahedron's inside-outing being that of an initial direction of vertexial exiting. Once exited, the visible remaining symmetrical tetrahedron is in verity the inside-outness of its previously visible aspects."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-905.17905.17, 16 Dec'73

Tetrahedron: Inside-outing of Tetrahedron
← Tetrahedron: Inside-outing of Tetrahedron | Tetrahedron: Inside-outing of Tetrahedron →
Index Entry
Tetrahedron: Inside-outing of Tetrahedron:
"In either of the two sets of four each as alternatively described, one of the polar states is always visible and the other complementarily invisible. This is a dynamic relationship. Dynamically, all four of each of the two sets of the tetrahedral potential are co-occurrently permitted and are required by the omni-action-reaction-resultant synergetics. The seeming significance of the separately considered asymmetries are cancelled by the omnidirectional symmetry."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-905.18905.18, 10 Dec'73

Tetrahedron: Inside-outing of Tetrahedron
← Tetrahedron: Inside-outing of Tetrahedron | Tetrahedron: Inside-Outing of Tetrahedron →
Index Entry
Tetrahedron: Inside-outing of Tetrahedron:
"Whereas the tetrahedron has four symmetrically interarrayed poles in which the polar opposites are four vertexes vs. four faces; and whereas the polar axes of all other symmetrical structural systems consist of vertex vs. vertex, or mid-edge vs. mid-edge, or face vs. face; it is seen that only in the case of vertex vs. face-- the four poles of the tetrahedron-- do the four vertexial "points" have polar face vacancies or "space" into which the wavelinear coil spring legs of the tetrahedron will permit those four vertexes to travel. The tetrahedron is the only omnisymmetrical structural system that can be turned inside out."
- Cite RBF galley correction to SYNERGETICS at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-232.01232.01, 28 Oct'73

Tetrahedron: Inside-Outing of Tetrahedron
← Tetrahedron: Inside-outing of Tetrahedron | Tetrahedron →
Index Entry
Tetrahedron: Inside-Outing of Tetrahedron:
"...Not until we turn a tetrahedron inside-out do we have microcosmic awareness. Not until we swallow the otherness do we have microcosmic volumetric awareness. We become the outside. At first we were just the inside."
- Citation and context at System Awareness, 20 Feb'73

Tetrahedron
← Tetrahedron: Inside-Outing of Tetrahedron | Tetrahedron →
Index Entry
Tetrahedron: Inside-outing Of:
"The tetrahedron extended through its base is pumpingly or diaphragmatically inside-outable in contradistinction to the vertexially extended tetrahedron."
- Cite SYNERGETICS draft "Antitetrahedron," 8 Oct. '71. p. 6.

Tetrahedron
Index Entry
Inside-Outing Tetrahedron:
"Tetrahedron is the minimum compound curve, ergo, minimum sphere....
"We discover that the additive twoness of the two polar (and a priori awareness) spheres at most economical minimum are two tetrahedra and that the insideness and outsideness complementary tetrahedra altogether represent the two invisible complementary twoness that balances the visible twoness of the polar pair."
- Cite RBF manuscript on Beverly Hotel paper, 19 June 1971.

Tetrahedron
Index Entry
Tetrahedron: Inside-Outing of Tetrahedron:
"Only the tetrahedron is insideoutable."
"The tetrahedron is the only structural system that can be turned inside out."
"The octahedron is infoldable, or innestable-- hemi-hedrally."
"The icosahedron dimples locally."
- Cite RBF holographs and sketches on "Annihilation" Somerset Club, Boston, 22 April 1971

Tetrahedron
← Tetrahedron | Tetrahedron: Inside-Outing of Tetrahedron →
Index Entry
Tetrahedron: Inside-Outing of Tetrahedron:
"It is the only polyhedron that can be turned inside-out and vice versa by one energy event."
- Cite NASA Speech, p. 56., Jun'66

Tetrahedron: Inside-Outing of Tetrahedron
← Tetrahedron | Tetrahedron Inside-Outing of Tetrahedron (1) →
Index Entry
Tetrahedron: Inside-Outing of Tetrahedron:
"The tetrahedron is the only system that may be turned inside out-- to be antitetrahedron."
- Cite RBF marginalis in "The Scientific Lndeavor," 1963. page, 12 dated 5 Sept. 1965

Tetrahedron Inside-Outing of Tetrahedron (1)
← Tetrahedron: Inside-Outing of Tetrahedron | Tetrahedron (2) →
Index Entry
"Now it is also possible for me to push in on the face of the tetrahedron and so it gets smaller. I am pushing the face towards its opposite face and it gets smaller. When it is getting smaller, what do I mean? I mean its edges are getting shorter, the areas of its surfaces are decreasing, but they decrease at a very much higher rate than that at which the lines become shorter. The lines are shortening at the rate of the first power and the areas are shortening at the rate of the second power. The volume is getting smaller at the third power rate-- a very much higher velocity, so you have three rates of change in the phenomenon called size. Symmetry is still there. There is nothing to do with symmetry and nothing to do with the fact that it has four vertexes, nothing to do with its six edges, nothing to do with its 60-degree angles, 60-degreeness, fourness of vertex, fourness of face, sixness of edge and symmetry are all constants and they are in no way altered by the change in size. Size is simply three different things: linear, areal and volumetric rates of change.
"Let me then move this face of the tetrahedron. I am pushing the face towards the opposite vertex. Now it has no size at all. The product of the first power, second power and third

Tetrahedron (2)
← Tetrahedron Inside-Outing of Tetrahedron (1) | Tetrahedron: Inside-Outing of Tetrahedron (3) →
Index Entry
Tetrahedron: Inside-outing of Tetrahedron:
"power came to zero by pure coincidence so we have zero size, but symmetry, sixness, fourness of vertex, and so forth. Those were constants and were not being altered by the change so they have not disappeared and have nothing to do with the size.
"So the fact is that size allows me now tetrahedron conceptually independent of size. I can move this face beyond congruence with the opposite vertex. And now the tetrahedron turns inside-out, so we can have an inside-out tetrahedron which is conceptual and of no known size."
- Cite Oregon Lecture #6, p.210, 10 Jul'62

Tetrahedron: Inside-Outing of Tetrahedron (3)
← Tetrahedron (2) | Tetrahedron Inside-out Tetrahedron Begins to Grow →
Index Entry
Tetrahedron: Inside-Outing of Tetrahedron:
"This is an interesting model of a tetrahedron which you could make yourself by taking a heavy steel rod triangle, take three rubber bands, run them from the three vertexes into the center of gravity of the triangle and tie them together. Take ahold of the three rubber bands where they come together at the center of gravity and yank it suddenly like this, and the inertia of the steel triangle will make the rubber bands stretch and the triangle becomes a tetrahedron-- but then they begin to contract and the triangle lifts. You will be able to take such a triangle hanging in the air by the three stretched rubber bands and you can plunge your hand through the triangle, and pull it back, and you can have the triangle oscillating by pulling your hand back and forth and making a positive and negative tetrahedron. As a tetrahedron becomes positive or negative, pumping its vertex through the opposite face (the case I had before was pumping the opposite faces through the vertexes, and I just wanted to get the idea across that you can do it either way.) This kind of an oscillating pump is typical of some of the atom behaviors and this is what they call one of the prime atom clocks. It is just such an oscillation between a positive and negative tetrahedron."

Tetrahedron Inside-out Tetrahedron Begins to Grow
← Tetrahedron: Inside-Outing of Tetrahedron (3) | Tetrahedron Inside-outing of Tetrahedron Visible & Invisible Vertexes →
Index Entry
Tetrahedron: Inside-out Tetrahedron Begins to Grow:
"Remember that when we took a tetrahedron and moved any of its faces around their opposite vertexes (i.e., contract their center-of-gravity lines-- from centers of area of faces to opposite vertexes); that the faces are reduced symmetrically while the angles are (changed ?). Finally the opposite face coincides with the vertex and the face planes are (co ?) existant with a common convergent point and no volume. If this is moved an inside-out tetrahedron begins to grow. So I see that energetic geometry is one up on the topologists because it understands the dynamic significance of the implicit 2 and the inherent spin."
- Cite Ltr. from RBF to Duncan Stuart, 10 Jan'50

Tetrahedron Inside-outing of Tetrahedron Visible & Invisible Vertexes
← Tetrahedron Inside-out Tetrahedron Begins to Grow | Tetrahedron Inside-outing Of (1) →
Index Entry
Tetrahedron: Inside-outing of Tetrahedron: Visible & Invisible Vertexes:
"Because each tetrahedron has both four vertexes and four subtending nonvertex voids, we can identify those four diametrically complementary sets of all minimal cosmic structural systems as the four visible vertex and four nonvisible nonvertexes, i.e., the triangularly symmetrical, peripheral voids.
The tetrahedron thus introduces experientially the cosmic principle of the visible and invisible pairs or couples; with the nonvisible vertex as the inside-out vertex, which nonvertex is a nonconvergence of events; whereas the vertexes are visible event convergences."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-905.22905.22, 16 Dec'73

Tetrahedron Inside-outing Of (1)
← Tetrahedron Inside-outing of Tetrahedron Visible & Invisible Vertexes | Tetrahedron: Inside-outing Of (2) →
Cross Reference
Cross-References
- Petal: Tetrahedron as Three-petaled Flower Bud
- Tepee: Half-spin Tepee Twist
- Vector Equilibrium: Zerophase

Tetrahedron: Inside-outing Of (2)
← Tetrahedron Inside-outing Of (1) | Tetrahedron: The Leak in the Tetrahedron's Corners →
Cross Reference
Cross-References
- Acceleration: Angular & Linear, (1)(2)
- Invisible, 16 Dec'73
- ave Wave Model, Oct
- System Awareness, 20 Feb'73*
- Tetrahedron, Jun'66
- Twoness, 1967
- ahedron Model of Doubleness of Unity, Oct (2)
- Inside-outing, 17 Jun'75

Tetrahedron: The Leak in the Tetrahedron's Corners
← Tetrahedron: Inside-outing Of (2) | Tetrahedron: The Leak in the Tetrahedron's Corners →
Index Entry
Tetrahedron: The Leak in the Tetrahedron's Corners:
"Energy bounces around in triangles working toward the narrowest vertex, where the impossibility of more than one line going through any one point at any one time imposes a twist vertex exit at the corners of all polyhedra. Therefore, all triangles and tetrahedra 'leak' energy but when doing so between two similar corresponding vertexes-interconnected tetrahedra, the leaks from one become the filling of the other."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-921.15921.15, RBF rewrite, 18 Dec'73

Tetrahedron: The Leak in the Tetrahedron's Corners
← Tetrahedron: The Leak in the Tetrahedron's Corners | Tetrahedron →
Index Entry
Tetrahedron: The Leak in the Tetrahedron's Corners:
"The leak in the tetrahedron's corners elucidates entropy as occasioned by the only-critical-proximity but nontouching of the tetrahedron's corners-defining lines. We always have the twisting-- the vectorial near-miss-- at the corners of the tetrahedron because not more than one line can go through the same point at the same time.
"The construction lines with which geometrical entities are structured come into the critical structural proximity only, but do not yield to spontaneous mass attraction, having relative Moon-Earth-like gaps between their energy-event-defining entities of realization.
"The tetrahedron has the minimum leak, but it does leak. That is one reason why Universe will never be confined within one tetrahedron or one anything."
- Cite RBF rewrite of SYNERGETICS galley at Secs. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-942.12942.12,.13, 20 Dec'73

Tetrahedron
← Tetrahedron: The Leak in the Tetrahedron's Corners | Tetrahedron: Leak in the Tetrahedron's Corners →
Index Entry
Tetrahedron: The Leak in the Tetrahedron's Corners:
"The tetrahedron is defined by the lines connecting the centers of the tetrahedron's four corner spheres. The leak in the tetrahedron's corners is the essence of entropy. We always have the twisting at the corners of the tetrahedron because not more than one line can go through the same point at the same time. The construction lines with which geometrical entities are structured come into the critical structural proximity only but do not yield to spontaneous mass attraction.
"The tetrahedron has the minimum leak, but it does leak. That is why Universe will never be confined within one tetrahedron."
- Cite SYNERGETICS Draft at Secs. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-952.10952.10 + \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-952.11952.11, 28 Feb '72

Tetrahedron: Leak in the Tetrahedron's Corners
← Tetrahedron | Tetrahedron as Microsystem →
Cross Reference
Cross-References

Tetrahedron as Microsystem
← Tetrahedron: Leak in the Tetrahedron's Corners | Tetrahedral Minimum →
Index Entry
Tetrahedron as Microsystem:
"The tetrahedron is the minimum tunable system.
"A point-to-ability is a tuned-in tetra. Each tuned-in-ability tetra consists of four corners each of which is an infratunable tetrasytem.
"The threeness of the Quarks shows up at the three minimum convergent lines around each vertex of the minimum system consisting of only six lines.
"This is what a corner is all about."
- Cite RBF to EJA, 3200 Idaho, Wash. DC; 12 May'77
Incorporated in SYNERGETICS 2 draft at Secs. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1052.3541052.354-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1052.3571052.357.

Tetrahedral Minimum
← Tetrahedron as Microsystem | Tetrahedron as Minimum Structural System →
Cross Reference
Cross-References
- Prime Dichotomy, (2)
- Tetrahedron, 24 Sep'73

Tetrahedron as Minimum Structural System
← Tetrahedral Minimum | Tetrahedron as Minimum System →
Index Entry
Tetrahedron as Minimum Structural System:
"The six edges of the tetrahedron consist of two sets of three vectors each corresponding to the three-vector teams of the proton and neutron, respectively, each of which three-vector teams are identified by nuclear physics as
one-half quantum, or
one-half Planck's constant, or
one-half spin,
with always and only co-occurring proton and neutron's combined two sets of three-vector teams together constituting one unit of quantum of energy, which in turn is vectorially identifiable as one tetrahedron, which in turn is identifiable as the minimum structural system of Universe."
-
Cite Synergetics, "Corollaries," sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-240.65240.65.
-
Citation at Quantum: Event-paired Quanta, 1971

Tetrahedron as Minimum System
← Tetrahedron as Minimum Structural System | Tetrahedron: Nine Schematic Aspects →
Cross Reference
Tetrahedron as Minimum System:
Cross-References
- Cyclic Unity, Jun'66
- Unit Radius, 17 Jan'74
- Universe, 16 Jun'72
- Convex & Concave Tetrahedron, Aug'71

Tetrahedron: Nine Schematic Aspects
← Tetrahedron as Minimum System | Tetrahedral Octave Phase Model (1) →
Cross Reference
Tetrahedron: Nine Schematic Aspects:
"Every tetrahedron, every prime structural system ☐ in Universe, has nine separate and unique states of existence: four positive, four negative, plus one schematic unfolded nothingness, unfolded to an infinite planar, neither-one-nor-the-other, equilibrious state. These manifest the same schematic 'game' set-up as that of physics' quantum mechanics. Quantum mechanics provides for four positive and four negative quanta as we go from a central nothingness equilibrium to firt one, then two, then three, then four, high-frequency, regenerated, alternate, equi-integrity, tetrahedral quanta. Each of the tetrahedral quanta also have eight invisible counterparts. (See Illus. 1012.14A, 148 and .15.)"

Tetrahedral Octave Phase Model (1)
← Tetrahedron: Nine Schematic Aspects | Tetrahedral Octave Phase Model →
Cross Reference
Number System
Cross-References
- Bow Tie
- Indig
- Interwave Behavior of Number
- antation, Oct
- ave Wave, Oct

Tetrahedral Octave Phase Model
← Tetrahedral Octave Phase Model (1) | Tetrahedral Octave Phase Model (2) →
Index Entry
Tetrahedral Octave Phase Model:
"There is an octave pattern in every system.... Waves are octave and one reason they do not interfere with one another is because of the zero....
"If I make an X configuration with one ball in the center common to both triangles of the X, the ball at the intersection common to both represents the zero, or the place where the waves can pass through each other.... And now we have a model to explain why they do not interfere."
- Citation & context at Synchronization, Oct'71

Tetrahedral Octave Phase Model (2)
← Tetrahedral Octave Phase Model | Tetrahedron: One Tetrahedron →
Cross Reference
Cross-References
- Synchronization, Oct'71*

Tetrahedron: One Tetrahedron
← Tetrahedral Octave Phase Model (2) | Tetrahedron: One Tetrahedron →
Index Entry
Tetrahedron: One Tetrahedron:
"We can say that the difference between any conceptual system and total but nonsimultaneously conceptual-- and of course nonsimultaneously sensorial-- scenario Universe is always one tetrahedron of whatever size may be necessary to account for the balance of all the finite quanta thus far accounted in scenario Universe, outside the conceptual system considered."
- Citation and context at Tetrahedron, 13 Nov'69

Tetrahedron: One Tetrahedron
← Tetrahedron: One Tetrahedron | Tetrahedron: One Tetrahedron →
Index Entry
Tetrahedron: One Tetrahedron:
"... The difference between the finite physical Universe of energy with which physics deals and the total Universe which also includes all metaphysical phenomena-- which we used to call infinity-- is just one tetrahedron."
- Citation & context at Comprehensive Universe (1), Jun'66

Tetrahedron: One Tetrahedron
← Tetrahedron: One Tetrahedron | Tetrahedron →
Index Entry
Tetrahedron: One Tetrahedron:
"Entropy is not random; it is always one negative tetrahedron."
- Citation at Entropy, 1960

Tetrahedron
← Tetrahedron: One Tetrahedron | Tetrahedron One Tetrahedron (1) →
Index Entry
Tetrahedron: One Tetrahedron:
"Substituting the word tetrahedron for the number two completes my long attempt to convert all the residual heretofore unidentifiable integers of topology into geometrical conceptability."
- Citation at Unity as Two, 1960
TETRAHEDRON - SEC \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-620.12620.12

Tetrahedron One Tetrahedron (1)
← Tetrahedron | Tetrahedron: One Tetrahedron (2) →
Cross Reference
Cross-References
- Angular Topology: Principle Of Expanding Physical Universe vs. Contracting Metaphysical Universe Minus Two Thinkable System Takeout

Tetrahedron: One Tetrahedron (2)
← Tetrahedron One Tetrahedron (1) | Tetrahedron: Polarization Of →
Cross Reference
Black Holes & Synergetics, 1 Mar'77
Calculus, 1960
Comprehensive Universe (1)*
De-finite, Oct'66
Descartes, 19 Jun'71; 31 May'71
Entropy, 1960*
Generalization: Degrees Of, Jun'66
Infinity & Finity, Jun'66
Metaphysical & Physical, Jun'67; Jun'66*
Tetrahedron, 13 Nov'69*
Tetrahedron: Leak in the Corners, 20 Dec'73
Unity as Two, 1960*
Universe, 2 Jun'74
Somethingness & Nothingness, 10 Nov'74
Spherical Interstices, 30 Dec'73
Six - Five = One, 8 Jan'74
Omnihalo, Nov'71
Finite & De-finite, Nov'71
Structural Quanta, 9 Nov'73
Cross-References
- Brouwer's Theorem, 1960

Tetrahedron: Polarization Of
← Tetrahedron: One Tetrahedron (2) | Tetrahedron: Polarization of Tetrahedron →
RBF Definitions
"The only polar symmetry of a tetrahedron is between the midpoints of the opposite edges. These midpoints are 90 degrees to one another. Starting with any one of the polar edges the lines converge toward the terminals of the opposite edge. The four faces of a tetrahedron are in polar opposition in such a manner that as one of the pairs of faces converges the other pair of faces diverges. Here is the balance of Universe between radiation and gravity."
Citations
- SYNERGETICS, 2nd. Ed. at Sec. \href{https://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-260.53}{260.53}; 13 Nov'75

Tetrahedron: Polarization of Tetrahedron
← Tetrahedron: Polarization Of | Tetrahedron: Polarization of Tetrahedron →
Index Entry
Tetrahedron: Polarization of Tetrahedron:
"There is a polarization of tetrahedra, but only by taking a pair of vertexes, a pair of poles which do not intersect one another.
"There is a fourfold symmetry aspect of the tetrahedron to be viewed as precessionally polarized symmetry."
- Cite RBF SYNERGETICS Draft, "Antitetrahedron," 7 Oct. '71, p. 2, and Insert.

Tetrahedron: Polarization of Tetrahedron
← Tetrahedron: Polarization of Tetrahedron | Tetrahedron: Polarity of Tetrahedron →
Index Entry
Tetrahedron: Polarization of Tetrahedron:
"There is a dynamic symmetry in the relationship between the mid-action points of the opposing pair of polar vertexes of the tetrahedron. . . The red dot represents the positive pole of the mid-action point, i.e., action center. . . The green dot represents the negative pole of the tetrahedron at mid-action point, i.e., at the center of negative energy of the dynamical equilibrium of the tetrahedron."
Adapted from RBF re-write of SYNERGETICS Illustration #2, 7 Oct. 1971.

Tetrahedron: Polarity of Tetrahedron
← Tetrahedron: Polarization of Tetrahedron | Tetrahedron as Prime Nonnucleated Structural System →
Index Entry
Tetrahedron: Polarity of Tetrahedron:
"Although the tetrahedron is not polarized in terms of vertexes it exhibits polarity in terms of convergence and divergence."
- Cite draft version of ITEM "O", p.34, 2B, 1955
(Possibly attributable to students Gelmer + Bartlett)

Tetrahedron as Prime Nonnucleated Structural System
← Tetrahedron: Polarity of Tetrahedron | Tetrahedron as Prime Nonnucleated Structural System →
Cross Reference
Cross-References
- Nucleus, 2 Nov'73

Tetrahedron as Prime Nonnucleated Structural System
← Tetrahedron as Prime Nonnucleated Structural System | Tetrahedron as Primitively Central to Life →
Cross Reference
Cross-References

Tetrahedron as Primitively Central to Life
← Tetrahedron as Prime Nonnucleated Structural System | Tetrahedron as Primitively Central to Life →
Index Entry
Tetrahedron as Primitively Central to Life:
"Only the tetrahedron can accommodate the otherness which is the aberration, otherness being essential to awareness and awareness being the minimum statement of the experience life. The tetrahedron as the accommodation of the otherness aberration is primitively central to the experience life."
- Cite SYNERGETICS 2 draft at Sec. 10027; 3 Mar'77

Tetrahedron as Primitively Central to Life
← Tetrahedron as Primitively Central to Life | Tetrahedron: Quarter-Tetrahedra →
Cross Reference
Cross-References
- Minimum Awareness Model
- Minimum Four Awareness Aspects of Life
- Self & Otherness: Four Minimal Aspects
- Fourth Quantum

Tetrahedron: Quarter-Tetrahedra
← Tetrahedron as Primitively Central to Life | Tetrahedron: Quarter Tetrahedra →
Cross Reference
Tetrahedron: Quarter-Tetrahedra:
"The regular tetrahedron may be divided volumetrically into four identical Quarter-Tetrahedra, with all their respective apexes at the center of volume of the regular unit tetrahedron. (See illus. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-913.01913.01.) The Quarter-Tetrahedra are irregular equiangle-triangle-based pyramids formed upon each of the four triangular bases of the original unit tetrahedra with their four interior apexes congruent at the regular tetrahedron's volumetric center, and they each have a volume of one quarter of the volume of the regular tetrahedron of volume-1."
- Cite RBF rewrite of SYNERGETICS galley at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-911.02911.02, 19 Dec'73

Tetrahedron: Quarter Tetrahedra
← Tetrahedron: Quarter-Tetrahedra | Tetrahedral Transformations →
Cross Reference
Cross-References
- Basic Nestable Configurations, 29 May'72

Tetrahedral Transformations
← Tetrahedron: Quarter Tetrahedra | Tetrahedron: The Transmitting Differential Tetrahedron Displacement →
Index Entry
Tetrahedral Transformations:
"All structure is a transformative phase or complex of tetrahedral transformations."
-
Citation at Structure, 1963
-
Cite Pol, boxes, p. 166. Date undetermined 1963

Tetrahedron: The Transmitting Differential Tetrahedron Displacement
← Tetrahedral Transformations | Tetrahedron →
Index Entry
Tetrahedron: The Transmitting Differential Tetrahedron Displacement:
"If A force sends facet A toward vertex a at some rate, X, as that with which force D withdraws facet D away from vertex d, while concurrently a force C sends facet C toward vertex c at a rate entirely independent of rate X, while a force B withdraws facet B away from vertex b at the same rate, Y, as that of force C, then the tetrahedron a,b,c,d will remain the same size and will seem superficially to travel in a line of direction which coincides with the intersection of two planes: one through a,c perpendicular to d,b, and one through d,b perpendicular to a,c.
"(I discovered this differential displacement coupling unlike forces in November 1955 while in Minn. Minn. - RBF)"

Tetrahedron
← Tetrahedron: The Transmitting Differential Tetrahedron Displacement | Tetrahedron →
Index Entry
Tetrahedron: The Transmitting Differential Tetrahedron Displacement:
- RBF holograph 2 May'56

Tetrahedron
← Tetrahedron | Tetrahedron: Three Triangles into Tetrahedron: 2 + 1 = 4 →
Cross Reference
Tetrahedron: The Transmitting Differential Tetrahedron Displacement:
Cross-References

Tetrahedron: Three Triangles into Tetrahedron: 2 + 1 = 4
← Tetrahedron | Tetrahedral Tuck in the Universe (1) →
Cross Reference
Cross-References

Tetrahedral Tuck in the Universe (1)
← Tetrahedron: Three Triangles into Tetrahedron: 2 + 1 = 4 | Tetrahedral Tuck in Universe (1) →
Cross Reference
Cross-References
- Takeout
- Tetrahedron: One Tetrahedron

Tetrahedral Tuck in Universe (1)
← Tetrahedral Tuck in the Universe (1) | Tetrahedron: Twenty-fourth Tetrahedron →
Cross Reference
Cross-References
- Conceptuality & Nonconceptuality, 2 Jun'74 (1)
- Disparity, 1960 (1)
- Halo Concept, Nov'71 (1)

Tetrahedron: Twenty-fourth Tetrahedron
← Tetrahedral Tuck in Universe (1) | Tetrahedron: Two Tetrahedra (1) →
Cross Reference
Cross-References

Tetrahedron: Two Tetrahedra (1)
← Tetrahedron: Twenty-fourth Tetrahedron | Tetrahedron: Two Tetrahedra (2) →
Cross Reference
Tetrahedron: Two Tetrahedra:
Cube: Two Tetrahedra as Cube
Cross-References
- Cube: Diagonal Of

Tetrahedron: Two Tetrahedra (2)
← Tetrahedron: Two Tetrahedra (1) | Tetrahedron →
Cross Reference
Cross-References
- Bow Ties: Genesis Of, 12 Sep'71
- Synergetics, 17 Feb'72
- thinkable System Takeout, 22 Feb'72
- Finite Minus De-finite, Nov'71
- Local Definability, Nov'71
- Domain of a Line, 7 Nov'73
- Fourfold Twoness, 10 Nov'74

Tetrahedron
← Tetrahedron: Two Tetrahedra (2) | Tetrahedron: Two Triangles into Tetrahedron: 1 + 1 = 4 →
Cross Reference
Tetrahedron: Two Triangles into Tetrahedron: 1 +1 = 4:
Cross-References
- Triangle, Feb'72

Tetrahedron: Two Triangles into Tetrahedron: 1 + 1 = 4
← Tetrahedron | Tetrahedron: Vertical Planes of Cleavage →
Index Entry
Mexico 63, pp. 23, 32, 10 Oct'63
Doxiadis Ltrs, U or 0, pp. 312, 313, 20 Jun'66
NASA Speech, pp. 52-55, Jun'66
Ledgmont Lab, pp. 17-18, 15 Oct'64
Oregon Lecture #1, p.34, 1 Jul'62
Oregon Lecture #4, p. 142, 6 Jul'62

Tetrahedron: Vertical Planes of Cleavage
← Tetrahedron: Two Triangles into Tetrahedron: 1 + 1 = 4 | Tetrahedron: Vertical Planes of Cleavage →
Index Entry
Cite RBF Sketch for SYNERGETICS, \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-942.00942,18, 21 Feb'72

Tetrahedron: Vertical Planes of Cleavage
← Tetrahedron: Vertical Planes of Cleavage | Tetrahedron →
Index Entry
Tetrahedron: Vertical Planes of Cleavage:

Tetrahedron
← Tetrahedron: Vertical Planes of Cleavage | Tetrahedron →
Cross Reference
Tetrahedron: Visible or Invisible Chordal Arcs:
"The tetrahedron's edges may be 'straight,' i.e., chordal 'invisible' arcing (small segments of arcs of large radius), or 'visible' arcs (larger segments of arcs of smaller radius).
- Cite INDUSTRIAL LOGISTICS AND DESIGN STRATEGY, p.1. See Figure 4, thereof.1952

Tetrahedron
← Tetrahedron | Tetrahedron as Volumetric Quantum →
Cross Reference
Cross-References

Tetrahedron as Volumetric Quantum
← Tetrahedron | Tetrahedron: Zerophases →
Cross Reference
Cross-References
- System Totality, 7 Mar'73

Tetrahedron: Zerophases
← Tetrahedron as Volumetric Quantum | Tetrahedron: Zerophase →
Index Entry
Tetrahedron: Zerophases:
"Tetrahedra are seemingly unique in that they may be turned inside out and pass through zerophases of other transformations."
- Cite PENNA. TRIANGLE, p. 10, Dec '52

Tetrahedron: Zerophase
← Tetrahedron: Zerophases | Tetrahedron (1) →
Cross Reference
Cross-References
- Point, Nov'52

Tetrahedron (1)
← Tetrahedron: Zerophase | Tetrahedron (1) →
Cross Reference
Allspace-filling withahedron & Tetrahedron, Oct
Basic Evenet
Dihedral Angles of Tetra
Domain of Tetrahedron
Four Stars
Cross-References
- Allspace-filling with Tetrahedra
- Angular Name of the Tetrahedron
- Antitetrahedron
- Axis of Spin: Tetrahedron
- Cheese Tetrahedron
- Cone
- Convex & Concave Tetrahedron
- Empty Set Tetrahedron
- Exchange Agent of Universe
- Empty Tetrahedron
- Fourth Dimension: Regular Tetrahedron as Fourth Dimension Model

Tetrahedron (1)
← Tetrahedron (1) | Tetrahedron (1) →
Cross Reference
Interconnection of any Four Points in Universe
Mite: Minimum Tetrahedron
Cross-References
- Ideal Tetrahedron, (1)
- Inside-outing Tetrahedron
- Invisible Tetrahedron
- Irrelevancy Tetrahedron
- Interconnection of any Two Lines in Universe
- Linear Tetrahedron
- Metaphysical & Physical Tetrahedral Quanta
- Minimum Polyhedron
- Minimum Omnitriangulated Differentiator of Universe
- Minimum Something
- Minimum Set - Crystal - Tetra
- Minimum System: Minimum Structural System
- Minimum Tetrahedron
- Negative Tetrahedron
- Norm: Tetrahedron as Norm
- Number: Tetrahedral Number
- Observer & Otherness: Tetrahedral Relationship Between

Tetrahedron (1)
← Tetrahedron (1) | Tetrahedron (1) →
Cross Reference
Tetrahedron:
Prime Number Consequences of Spin-halving of Tetrahedron
Physical Tetrahedron vs. Conceptual Tetrahedron
Point = Eight Tetrahedra
Pyramid
Quantum: Event-paired Quanta
Regular Tetrahedron
Six-ridge Tetrahedral Globe
Social Problems: Tetrahedral Coordination Of Spherical Convex-arc-edge Tetrahedra
Spherical Tetrahedron
Star Tetrahedron
System Constants
Syte: Symmetrical Tetrahedron
Subtetrahedra
Cross-References

Tetrahedron (1)
← Tetrahedron (1) | Tetrahedron Tetrahedral →
Cross Reference
Zerovolume Terahedron
Cross-References
- Tetrahelix
- Tetrascroll
- Tetrasystem
- Tetratuning
- Tetra-void
- Thinkable System Takeout
- Truncated Tetrahedra
- Universe Differentiator
- Vector Equilibrium: Zero Tetrahedron
- Zero Tetrahedron

Tetrahedron Tetrahedral
← Tetrahedron (1) | Tetrahedron: Tetrahedral →
Cross Reference
Cross-References
- Allspace Filling, 10 Jul'62*
- Association & Disassociation, 9 Nov'73
- Balls Coming Together, (2)
- Central Angles & Surface Angles, Aug
- Children as Only Pure Scientists
- Concentric Hierarchy Limits, 30 Dec'73
- Cosmic Hierarchy, 23 Jan'77
- Conceptuality as Polyhedral, 22 Feb'72
- Cosmic Limit Point, 3 Nov'73
- Couplings, 10 Dec'73*
- Embracement, 7 Oct'71
- Energy Event, 1967
- Fourth Dimension, 1965
- Generalization & Special Case, 23 Jan'77
- Geometry of Thinking, 16 Dec'73
- Gravity

Tetrahedron: Tetrahedral
← Tetrahedron Tetrahedral | Tetrahedron Tetrahedral (2) →
Cross Reference
Number: Cosmically Absolute, 5 Mar'73*
Cross-References
- Holding Patterns of Energy, Apr'72
- Human Beings & Complex Universe, (47)
- Irrelevancies: Dismissal Of, 12 Jul'62
- Isotropic Vector Matrix, 13 Nov'69*
- Jet Stilting, 29 Jan'75
- Kite, 28 Jan'75
- Knot, 7 Nov'73
- Lever, 10 Feb'73
- Limit Point, 9 Jun'72
- Me Ball, 21 Jan'75
- Microsystems, 22 Mar'76*
- Minimum Set, 18 Nov'72
- Metaphysical, 22 Jun'77
- Neuron, 15 May'72
- Nucleus, 22 Jan'75*

Tetrahedron Tetrahedral (2)
← Tetrahedron: Tetrahedral | Tetrahedron Tetrahedral →
Cross Reference
See Pauling, Linus*, 1965*
Cross-References
- Pauling, Linus**, 1965
- Physics: Difference Between Physics & Chemistry, 31 May'71*
- Physics as Internal Affairs of the Atom, 31 May'71
- Plane, 18 Mar'69
- Point: Outbound Point, 1948
- Powering: Sixth Powering, 25 Aug'71*
- Push-pull, 18 Feb'66
- Push-pull Members, 28 Oct'72
- Quantum, Jun'66
- Quanta Loss by Congruence, (1)
- Redundancy: Reduction Of, 22 Apr'71
- Rigidity, Aug'73
- Scheme of Reference, 24 Sep'73*
- Semisymmetry, 15 Oct'72
- Sphere, 25 Feb'74; 31 May'71*
- Spherical Triangle, 23 Jan'75

Tetrahedron Tetrahedral
← Tetrahedron Tetrahedral (2) | Tetrahedron Tetrahedral (3) →
Cross Reference
Cross-References
- Sphinx, 28 Sep'73
- Star Events, Oct'65*
- Strut
- Structure, 25 Feb'69*
- Structural System, Nov'71
- Synergy, Nov'71
- System Enclosure, (1)(2)
- System & Structure, 16 Aug'70
- System Totality, 7 Mar'73*
- Tensegrity, 1950
- Topology, 28 Oct'72
- Triangle, Nov'71
- Unity, 28 Feb'71
- Unity as Two, 1960
- Vector Equilibrium, (3)
- Walking, 31 May'71

Tetrahedron Tetrahedral (3)
← Tetrahedron Tetrahedral | Tetrahedron Tetrahedral (3B) →
Cross Reference
Tetrahedron Discovers Itself and Universe, (3)
Tetrahedron: Hierarchy of Pulsating Arrays, (3)
Cross-References
- Tetrahedron: Close Tetrahedron, (3)
- Tetrahedron as Conceptual Model, (3)
- Tetrahedral Coordination of Nature, (3)
- Tetrahedron: Coordinate Symmetry, (3)
- Tetrahedron: Dissimilar Rate of Change Accommodation, (3)
- Tetrahedral Dynamics, (3)
- Tetra Edge, (3)
- Tetrahedron: Four Unique Planes, (3)
- Tetrahedron: Inside-outing Of, (3)
- Tetrahedron: Inside-out Tetrahedron Begins to Grow, (3)
- Tetrahedron: Leak in the Corners, (3)
- Tetrahedral Minimum, (3)
- Tetrahedron as Minimum Structural System, (3)
- Tetrahedralave Phase Model, Oct (3)
- Tetrahedron: One Tetrahedron, (3)

Tetrahedron Tetrahedral (3B)
← Tetrahedron Tetrahedral (3) | Tetrahedron Tetrahedral →
Cross Reference
Tetrahedron: Regular Tetrahedron
Tetrahedron: Three Triangles: 2 + 1 = 4
Tetrahedron: Two Triangles: 1 + 1 = 4
Tetrahedron of Interferences
Cross-References
- Tetrahedron: Polarization Of
- Tetrahedron: Quarter-tetrahedra
- Tetrahedral Transformations
- Tetrahedron: The Transmitting Differential Tetrahedron Displacement
- Tetrahedral Tuck in Universe
- Tetrahedron: Twenty-fourth Tetrahedron
- Tetrahedron: Two Tetrahedra
- Tetrahedron: Visible or Invisible Chordal Arcs
- Tetrahedron as Volumetric Quantum
- Tetrahedron: Zerophase
- Tetrahedron: Vertical Planes of Cleavage
- Tetrahedral Growth
- Tetrahedron as Prime Nonnucleated Structural System

Tetrahedron Tetrahedral
← Tetrahedron Tetrahedral (3B) | Tetrahedroning →
Cross Reference
Cross-References

Tetrahedroning
← Tetrahedron Tetrahedral | Tetrahedroning →
Index Entry
Tetrahedroning:
"TETRAHEDRONING - 3rd powering - volume."
- Cite DEFINITIONS FOR SYNERGETICS BY PETER PEARCE May'67

Tetrahedroning
← Tetrahedroning | Tetrahedroning →
Index Entry
The "four frequency tetrahedron has a volume of 64. This equals four to the third power. So we may say 'tetrahedroning' instead of 'cubing' and we had better do so because that is what nature is doing.

Tetrahedroning
← Tetrahedroning | Tetrahedroning (1) →
Index Entry
Tetrahedroning:
"When we compare the two frequency edged cube and the two frequency edged vector equilibrium, we find the volume of the two frequency cube equals eight-- or two to the third power, 2³; whereas the volume of the two frequency vector equilibrium equals twenty tetrahedra close-packed omnidirectionally around one common central point; yet, only eight cubes could be symmetrically clustered omnidirectionally around that point."
- Cite NASA SPELCH, p. 80

Tetrahedroning (1)
← Tetrahedroning | Tetrahedroning (2) →
Index Entry
Tetrahedroning:
"You have the tetrahedron as one, octahedron is four and cube is three. A cube as three is not what people have been thinking. They have been thinking that a cube was one. But I am using unity where a tetrahedron is one, and then a cube takes three times as much space. If I am trying to appraise all space with cubes I am going to have to use up three times as much space to get congruence with my arithmetic, so I find that the cube is not an economical kind of measure. A tetrahedron is by far the most economical measure I can use to subdivide all space."
- Cite Oregon Lecture #6, p. 216. 10 Jul '62

Tetrahedroning (2)
← Tetrahedroning (1) | Tetrahedroning (3) →
Index Entry
Tetrahedroning:
"Here is one tetrahedron (A). Here I have three tetrahedra and one octahedron (B). This is the plateau of an equilateral triangle. It is a truncated tetrahedron. If I take the sum of the volumes here, three tetrahedra plus four for the octahedron, the volume is seven.
"I am now going to make the next level of equilateral triangles (C): we add a row of three tetrahedra and we add two octahedra between them. We must also add an upside-down tetrahedron to go in the middle between the octahedra. The accounting is now six tetrahedra and each tetra has a volume of one; three octahedra and each octa has a volume of four (3 x 4 = 12). So 6 + 12 = 18, plus one inverted tetrahedron = 19, which is the volume of this group. It has a truncated top which is a 2-module triangle.
"Here is the next bigger triangle (D) with a row of four additional tetrahedra, three additional octahedra, and two additional upside-down tetrahedra to go between the two new octahedra. The accounting of this aggregation is 10 tetrahedra"

Tetrahedroning (3)
← Tetrahedroning (2) | Tetrahedroning →
Index Entry
Tetrahedroning:
"with points up (10); plus six octahedra (6 x 4 = 24); plus three upside-down tetrahedra (3). So 10 + 24 + 3 = 37, which is the volume of this group.
"We are then going to superimpose the first tetrahedron and the truncated sections in sequence. We add (A) and (B) with a combined value of 8, to (C) 19 for a combined value of 27. We can do this because B8s module of two sits on a module-of-two base. Combining the whole stack with a base module of three, we can sit it on the base module of three of the plateau (D), resulting in a large tetrahedron whose edge module is four all the way through. The Volume of A-B-C was 27 and the D group was 37 for a combined volume of 64.
"So we discover that eight is the third power of module two; 27 is the third power of the module-three pyramid; and 64 is the volume of the module four. In other words, 8, 27, and 64 are simply the third powers of 2, 3, and 4. Therefore, instead of saying 'cubing,' we say tetrahedroning."
- Cite Oregon Lecture #6, pp.217-218, 10 Jul'62

Tetrahedroning
← Tetrahedroning (3) | Tetrahedroning →
Index Entry
Tetrahedroning:
"If we are tetrahedroning, we discover that a cube has the volume of three. If you were doing your accounting in cubes you were simply wasting two-thirds of your space. Remembering that the physicist discovered that nature was always most economical, we see that nature would not traffic in doing things with cubes if she could do it with tetrahedra. And she has. This is not unrelated to what Linus Pauling found for the inorganic chemistry and to what Van't Hoff found for the organic chemistry. We suddenly find that all structuring by nature is done tetrahedrally. It comes out in these beautiful even numbers and why when we were trying to explain things in the XYZ coordinate system we were always coming out with transcendental irrationals."
- Cite OREGON Lecture #6, p. 218, 10 Jul '62

Tetrahedroning
← Tetrahedroning | Tetrahelix (1) →
Index Entry
Tetrahedroning:
"Because the tetrahedron uses only one-third as much basic energy quanta as do cubes to account for all energy transformations .. tetrahedrons are three times more economical than cubes. In structural systems the tetrahedron uniquely articulates the prime number 1, and is therefore logically to be identified as the most economic quantation unit in universal energy accounting."
- Cite MARKS p. 48 , 1960

Tetrahelix (1)
← Tetrahedroning | Tetrahelix (2) →
Index Entry
Tetrahelix:
"Goldy next shows the bears how the three face-bonded tetrahedra-arc in its initial, neutral, nontransmitting state becomes spirally extended, positively or negatively, to attain its information-transmitting state, only with the addition of one more face-bonded tetrahedron.
"She then shows that with every 20 tetrahedra the tetrahelix completes approximately one 360° helical revolution (352° 40' exactly), which tetrahelix is the mathematical model which is employed by the DNA-RNA helix discovered by virological scientists (Watson-Crick-Wilkins) to be always transmitting the specific information controlling the design of all biological species, with that 7° 20' of angle (less than 360°) being twist-sprung to introduce the unzipping force necessary to offspring (or give birth to) any given species of off-molded offspring from the parent.
"Goldy shows how the extended tetrahelix's skin can be stripped off and laid out flat as a three-row, omnitriangulared, wavelinear ribbon. Goldy then identifies the positively or negatively asymmetrical tetrahelix patterning with"
- Cite GOLDYLOCKS, p.11, 27 May'75

Tetrahelix (2)
← Tetrahelix (1) | Tetrahelix →
Index Entry
with
"lightning when/the closure of an electron circuit from Earth to cloud, the high-voltage atmospheric charges are transmitted to Earth."
- Cite GOLDYLOCKS, p.I1, 27 May'75

Tetrahelix
← Tetrahelix (2) | Tetrahelix →
Index Entry
Tetrahelix:
"The tetrahelix: G-C-T-A. It could be that the G-C-T-A are the closest packing of different size balls. It could be that the Mites or the Sytes are the tetrahedra of the G-C-T-A because they are both positive-negative and allspace-filling."
- Cite RBF to EJA, 3200 Idaho, 10 Sep'74

Tetrahelix
Cross Reference
Tetrahelix:
"The tetrahelix is a helical array of triple bonded tetrahedra."
-Cite SYNERGETIC ILLUSTRATIONS, Caption #21 1967
Cross-References
- Illustration # 21

Tetrahelix
Index Entry
"We have a column of tetrahedra and these are straight edge tetrahedra for the edges when connected form a hyperbolic parabola helixes /EicJ. This column of tetrahedra spirals around or makes a helix and it takes just ten tetrahedra to one cycle of the helix." - Cite OREGON Lecture #6, p. 199, 10 Jul'62

Tetrahelix
← Tetrahelix | Tetrahelix: Continuous Pattern Strip →
Index Entry
Here are three such columns of tetrahedra which cycle around each ten tetrahedra. This is a very interesting kind of number: ten to cycle. When Drs. Watson and Crick made their famous model of the DNA, the deoxyribonucleic acid, they made a chemists' reconstruct from the information they were receiving, but not as a microscopic photograph at all. It wasn't a photograph through a camera, but simply a typical chemist's reconstruction of the data they were receiving of the associating and disassociating and they found a helix was developing. They found there were 36 degrees to each increment of the helix and the 36 degrees broke into ten increments in every cycle and the increments were the same as our tetrahedra we give here. Now there has been no identification of this tetrahedronal column with the Watson-Crick model, but the number is extremely interesting. Then we find that these columns of tetrahedra-- there has been an identification made by some of the molecular biologists when I gave them this tetrahelix column and they have foundthat it is of the structure used by some of the muscle fibers of man, the fundamental muscle fibers in nature, but it could also have some identification with the DNA. We don't know whether it does; we don't know whether it doesn't....

Tetrahelix: Continuous Pattern Strip
← Tetrahelix | Tetrahelix Continuous Pattern Strip →
Index Entry
Tetrahelix: Continuous Pattern Strip:
"Exploring the multiramifications of spontaneously regenerative reangulations and triangulations, we introduce upon a continuous ribbon a 60-degree-patterned, progressively alternating, angular bounce-off inward from first one side and then the other side of the ribbon, which produces a wave pattern whose length is the interval along any one side between successive bounce-offs which, being at 60 degrees in this case, produces a series of equiangular triangles along the strip. As seen from one side, the equiangular triangles are alternately oriented as peak away, then base away, then peak away again, etc. This is the patterning of the only equilibrious, never realized, angular field state, in contradistinction to its sine-curve wave, periodic realizations of progressively accumulative, disequilibrious aberrations, whose peaks and valleys may also be patterned between the same length wave intervals along the sides of the ribbon as that of the equilibrious periodicity."

Tetrahelix Continuous Pattern Strip
← Tetrahelix: Continuous Pattern Strip | Tetrahelix Gap Closer →
Cross Reference
"Come and Go" Triangulation Pattern Strip
Cross-References

Tetrahelix Gap Closer
← Tetrahelix Continuous Pattern Strip | Tetrahelix (1) →
Cross Reference
Cross-References

Tetrahelix (1)
← Tetrahelix Gap Closer | Tetrahelix (2) →
Cross Reference
Pattern-strip Aggregate Wrapabilities
DNA: RNA
Cross-References

Tetrahelix (2)
← Tetrahelix (1) | Tetrakaidecahedron →
Cross Reference
Tensegrity Masts: Pentagonal Polarity, 27 Dec'76
Cross-References
- ahedron as Annihilation Model, Oct (4)
- Petal: Tetrahedron as Three-petaled Flower Bud, 11 Feb'73 (4)
- ahedron as Conservation & Annihilation Model, Oct (4)
- Naga, (1)

Tetrakaidecahedron
← Tetrahelix (2) | Tetrakaidecahedron →
Index Entry
That the tetrakaidecahedron is three-frequency may bring in the 42 spheres. The layers added on to the square faces would be 42 + 24 = 68 whole spheres. There would be 56 fractional sphere satellites in the triangular faces. It is a very complex layer system.

Tetrakaidecahedron
← Tetrakaidecahedron | Tetrakaidecahedron →
Index Entry
Tetrakaidecahedron:
"The tetrakaidecahedron is vertexially asymmetrical, but linearly symmetrical."
- Citation and context at Vector Equilibrium, 19 Feb'72

Tetrakaidecahedron
← Tetrakaidecahedron | Tetrakaidecahedron →
Index Entry
Tetrakaidecahedron:
"A tetrakaidecahedron is a 12-frequency tetrahedron which has been symmetrically truncated L at its 7 points and edges; which edges, when truncated, have two-frequency edge divisions."
- Cite 18 Feb '72 citation as rewritten 19 Feb '72

Tetrakaidecahedron
← Tetrakaidecahedron | Tetrakaidecahedron →
Index Entry
Tetrakaidecahedron:
"All" tetrakaidecahedron is is a tetrahedron with symmetrically truncated points and edges.

Tetrakaidecahedron
← Tetrakaidecahedron | Tetrakaidecahedron →
Index Entry
(Obverse).
- 18 Feb'72

Tetrakaidecahedron
← Tetrakaidecahedron | Tetrahexahedron →
Index Entry
Tetrakaidecahedron:
"All a tetrakaidecahedron is is a tetrahedron with symmetrically truncated points and edges."
- Cite RBF to EJA and BO'R, 3200 Idaho, DC, 18 Feb '72

Tetrahexahedron
← Tetrakaidecahedron | tetrakaidecahedron →
Index Entry
way of the asymmetry of life. The vector equilibrium is always asymmetrical. The tetrahexahedron is always 14-sided. The point has its part of invisibility as well as visibility. If you have the domain of a point it would be a cube, but its 14-nees is in the eight corners and six faces. The edges come in only as 12 + 2. Domains of points are omnidirectional, that's all. They are-all-space-filling. They could seemingly be spheres but that does not fill all space, that's the trouble. They could be the centers of cubes as a model: that could be the domains of points. A domain is a system but not a structure. A cube is a system, but not a structure, until it is omnitriangulated.

tetrakaidecahedron
← Tetrahexahedron | Tetrakaidecahedron (1) →
Index Entry
way of the asymmetry of life. The vector equilibrium
is always asymmetrical. The tetrakaidecahedron is always
14-sided. The point has its part of invisibility as
well as visibility. If you have the domain of a point
it would be a cube, but its 14-ness is in the eight
corners and six faces. The edges come in only as 12 + 2.
Domains of points are omnidirectional, that's all. They
are-all-space-filling. They could seemingly be spheres
but that does not fill all space, that's the trouble. They
could be the centers of cubes as a model: that could be
the domains of points. A domain is a system but not a
structure. A cube is a system, but not a structure, until
it is omnitriangulated.

Tetrakaidecahedron (1)
← tetrakaidecahedron | Tetrakaidecahedron (2) →
Cross Reference
Cross-References

Tetrakaidecahedron (2)
← Tetrakaidecahedron (1) | Tetramension (2) →
Cross Reference
Mite: Positive & Negative Functions, (2)
Cross-References
- Allspace Filling: Self-packing, 19 Apr'66
- Domain of a Point, 31 May'71
- Stable & Unstable Structures, 7 Jun'72
- Mites & Quarks as Basic Notes, (1)
- T Module, 21 Jun'77

Tetramension (2)
← Tetrakaidecahedron (2) | Tetrascroll →
Cross Reference
Cross-References
- Multidimensionality, (2)

Tetrascroll
← Tetramension (2) | Tetrascroll (1) →
Index Entry
Tetrascroll:
"I have given... the word tetrascroll... to the tetrahedral rollup of the Goldilocks story.
- Cite RBF Ltr. to EJA, 28 May'75

Tetrascroll (1)
← Tetrascroll | Tetrascroll (2) →
Index Entry
Tetrascroll:
"Because a bear's foot is itself a triangle, Goldy makes a pattern of Big Sky Bear's footprints as he walks or runs eastwardly along the beach. Goldy uses the successive triangles as the frames for the succession of illustrations of her conversation with the bears. She says the ribbon is like a scenario film strip with the successive triangular pictures overlapping instead of being vertically separated. 'You may notice' says Wee Bear, 'that the starry pattern of the chair Cassiopeia left for me looks like the first three triangular frames of that scenario film strip.' 'Yes,' Goldy replies, 'and I see that if I print these triangular frames of the scenario strip of overlapping conceptual events on a heavy paper ribbon, that the strip can be spooled onto a tetrahedron.
"This will make a tetrahedron book that can be progressively unrolled from a tetrahedron at one end and rerolled to form another tetrahedron at the other end of the strip with the progressively exposed strip in between telling the picture story-- the scenario-- of nonsimultaneous Universe with both the four-dimensional tetrahedral othernesses of tomorrow and"

Tetrascroll (2)
← Tetrascroll (1) | Tatmacroll (1) →
Index Entry
Tetrascroll:
"yesterday identifiable but inscrutable. Because the tetrahedra are serving as four-dimensional scrolls, we will call our first such book the tetrascroll."

Tatmacroll (1)
← Tetrascroll (2) | Tetrascroll (2) →
Cross Reference
Cross-References
- Pattern Strip
- Wrapability
- Goldylocks

Tetrascroll (2)
← Tatmacroll (1) | Tetrasystem →
Cross Reference
Cross-References

Tetrasystem
← Tetrascroll (2) | Tetratuning →
Cross Reference
Cross-References
- Tetrahedron as Microsystem, 12 May'77

Tetratuning
Index Entry
Tetratuning:
"One thought, which is one system, which is one tetrahedron, can interrelate any four event points or subsystems in nonsimultaneous Universe. Because of inherent nonsimultaneity, thinking is tetratuning. The (system-thought) tetrahedron can and always does include four identities:
(1) the thinking individual;
(2) the present otherness;
(3) the past otherness;
(4) the future otherness."
- Cite GOLDYLOCKS, p.A5, 30 May'75

Tetra-void
← Tetratuning | Tetravolume (1) →
Cross Reference
See Modules: A Quanta Module & Basic Triangle, 20 Dec'73
Cross-References
- Modules: A Quanta Module \& Basic Triangle, 20 Dec'73

Tetravolume (1)
← Tetra-void | Tetravolume (2) →
Cross Reference
Cross-References
- Cube: Volume-3 Cube
- Sphere: Volume-5 Sphere
- Vector Equilibrium: Potential & Primitive Tetravolumes
- Six - Five = One

Tetravolume (2)
Cross Reference
Powering: Fourth & Eighth Powering
Cross-References
- Vector Equilibrium Involvement Domain, 12 Dec'75
- Nuclear Cube, 11 Dec'75; 23 Feb'76
- Quanta Loss by Congruence, (2)
- Potential vs. Primitive, 12 May'77
- Spherical Interstices, 9 Jul'76

Tetra
← Tetravolume (2) | Textbooks →
Cross Reference
Tetracone
Tetrasphere
Tetravoid
Cross-References
- Tetra-arc
- Tetraa & Icosa, Oct
- Tetrahedron
- Tetrahedroning
- Tetrahelix
- Tetrakaidecahedron
- Tetramension
- Tetrascroll
- Tetratuning
- Tetravolume

Textbooks
Cross Reference
Cross-References

Texture
← Textbooks | Theater Theatergoer (1) →
Cross Reference
Cross-References
- Awareness, 10 Feb'73

Theater Theatergoer (1)
← Texture | Theater Theatergoer (2) →
Cross Reference
Cross-References

Theater Theatergoer (2)
← Theater Theatergoer (1) | THEONE: Waterkate (1) →
Cross Reference
Cross-References
- Vector Equilibrium, 11 Dec'75

THEONE: Waterkate (1)
← Theater Theatergoer (2) | TheOne: Watergate (2) →
Index Entry
"Half a truth, half a truth, half a truth backward into the Watergate Snuck the Nixnumbers. Bug the whole Watergate, Smear up their candidate; Falsify, defecate, Into the Watergate Snuck the Nixnumbers. "Forward the White House Brigade! Was there a man dismayed? Not though the whole staff knew TheOne had blundered. Their's not to question why, Their's but to do and lie. Into the Watergate Snuck the Nixnumbers. "Dollars to right of them, Dollars to left of them"

TheOne: Watergate (2)
← THEONE: Waterkate (1) | Theoretical →
Index Entry
TheOne: Watergate:
"Millions behind them
Corrupted and plundered.
Into the Watergate
Into their sorry fate
into the world news
Plunged the Nixnumbers."
- Cite RBF holograph, 3200 Idaho, Wash DC, 13 May'73

Theoretical
← TheOne: Watergate (2) | Theoretical Myopias →
Index Entry
Theoretical:
"A vector is a partial generalization being either metaphysically theoretical or physically realized, and in either sense an abstraction of a special case. . . "
- Citation and context at Vector, 26 May'72

Theoretical Myopias
Cross Reference
Cross-References
- Professors, Jun'66

Theory
← Theoretical Myopias | Theory Theoretical (1) →
Index Entry
Theory:
"You must not just have a theoretical idea, but you must reduce it to practice. That is my strategy."
- Citation & context at Trim Tab, 22 Jul'71

Theory Theoretical (1)
← Theory | Theory Theoretical (2) →
Cross Reference
Navy: Theory Of The
Cross-References
- Axioms
- Communications Theory
- Educational Theories
- Game Theory
- General Systems Theory
- Individual: Theory Of
- Laws
- Number Theory
- Potential
- Synergetics Principles
- Variables: Theory Of

Theory Theoretical (2)
← Theory Theoretical (1) | There (1) →
Cross Reference
Trim Tap, 22 Jul'71 (2)*
Cross-References
- Realization, 26 May'72 (2)
- Vector, 26 May'72 (2)
- Unit Man, 9 Jul'62 (2)

There (1)
← Theory Theoretical (2) | There (2) →
Cross Reference
Cross-References

There (2)
Cross Reference
Cross-References
- Weather, Feb'73

Thermal
← There (2) | Thermal Limit Thermal Limits →
RBF Definitions
"Gibbs' phase rule differentiated the physical
Universe into liquid, crystalline, and gaseous phases
which are not so much visual as thermal, which is tactile,
and which are always characterized by unique thermal or sonic
frequency differentiations, in respect to their condition
within their respective states as well as between those
states."
Citations
- SYNERGETICS draft at Sec. \href{https://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1054.44}{1054.44}, 6 Mar'73

Thermal Limit Thermal Limits
← Thermal | Thermal Mensurability (2) →
Cross Reference
Cross-References
- Temperature of the Human Body, (A)
- Water, 7 Nov'75

Thermal Mensurability (2)
← Thermal Limit Thermal Limits | Thermal = Tactile →
Cross Reference
Cross-References
- Vector Equilibrium, (2)

Thermal = Tactile
← Thermal Mensurability (2) | Thermionic →
Cross Reference
(Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1054.101054.10)
Cross-References

Thermionic
← Thermal = Tactile | Thermodynamics Second Law Of (1) →
Cross Reference
Cross-References

Thermodynamics Second Law Of (1)
← Thermionic | Thermodynamics Second Law Of (2) →
Cross Reference
Random Element: Law of Increase Of The
Cross-References

Thermodynamics Second Law Of (2)
← Thermodynamics Second Law Of (1) | Thermodynamics (1) →
Cross Reference
Cross-References

Thermodynamics (1)
← Thermodynamics Second Law Of (2) | Thermodynamics: Laws Of Thermodynamics (2) →
Cross Reference
Cross-References

Thermodynamics: Laws Of Thermodynamics (2)
← Thermodynamics (1) | Theta →
Cross Reference
Cross-References
- Colloidal Chemistry, 1938
- Energetic-synergetic Geometry, Jul'59
- Synergetic Hierarchy, (1)
- Communications Hierarchy, (1)

Theta
← Thermodynamics: Laws Of Thermodynamics (2) | Thick Thickness →
Index Entry
Theta: (θ):
"I am using the sign of theta because it has the fundamental twoness, a top and a bottom. So I have the plus two."
- Citation and context at Axis of Spin (4), 11 Mar'69

Thick Thickness
Cross Reference
No Thickness
Cross-References

Thin Thin-ness
← Thick Thickness | Thingness →
Cross Reference
Right Hand, 4 May'57
Cross-References

Thingness
Index Entry
Thingness:
"... The new world of Universe citizenship, and its natural emancipation from slavery chained to ponderous thingness."
- Citation and context at Property, 29 Jun'72

Things
RBF Definitions
Things are always special-case temporary realizations of a specifically detailed dimension and behavior complex of generalized laws applied to a local inventory of physical resources."
- For citation and context see Vacuum, 17/19 Feb '72

Things
Index Entry
Things:
"Physics having found no things,
There are no nouns."
-
Cite A Definition of Evolution, p. 4, 15 Sep'71.
-
Citation at Noun, 15 Sep'71

Things
Index Entry
Things.
". . . There are no 'things'--
Only transitionally transformative verbing."
-
Cite HOW LITTLE, p. 32, Oct '66
-
Citation & context at Verbing, Oct'66

Thing Word
← Things | Thing: Thingness (1) →
Cross Reference
Thing Word:
Cross-References
- Package, 1 Feb'75

Thing: Thingness (1)
← Thing Word | Thing Thingness (2A) →
Cross Reference
Cross-References
- Anything
- Entity
- Nothing
- Nothingness
- No Thing
- Particle
- Process vs. Thing
- Property
- Shape of Things
- Something
- Somethingness
- Touchable Thing
- Nonthing
- Matter
- No Building Blocks
- Minimum System
- It

Thing Thingness (2A)
← Thing: Thingness (1) | Thing Thingness (2B) →
Cross Reference
Nouns, 15 Sep'71*
Cross-References
- Atom, Oct'70
- Children's Pictures of the Sun & the Moon, (1)(2)
- Cosmic, 3 Oct'72
- Environment, 25 May'72
- Epigenetic Landscape, Jun'69
- Event, 26 Jan'72; 23 Jan'77
- Generalization & Special Case, 23 Jan'77
- Iceland, 7 Oct'75
- Knot, 9 Jul'62
- Meaningless, Oct'66
- Monological, 7 Nov'73
- Pattern Integrity
- Physical, 1970
- Property, 29 Jun'72*
- Pure Principle, 6 Jun'62
- Solids, 25 Apr'71
- Structure Sequence, (1)
- Transcendental, 6 Jul'62
- Intertransformability Systems, 28 Apr'77

Thing Thingness (2B)
← Thing Thingness (2A) | thinkable entity (1) →
Cross Reference
Cross-References
- Vacuum, 19 Feb'72*
- Verb: I Seem to Be a Verb, 1970
- Verbing, Oct'66*
- Human Beings & Complex Universe, (2)(6)

thinkable entity (1)
← Thing Thingness (2B) | Thinkable Entity (2) →
Cross Reference
Cross-References

Thinkable Entity (2)
← thinkable entity (1) | Thinkability →
Cross Reference
Cross-References
- System, 26 May'72

Thinkability
← Thinkable Entity (2) | Thinkability →
Index Entry
Thinkability:
"The invisibility of negative Universe may seem a discrepancy, but only because the conceptual is such a fantastically limited part of the total, not just in the electromagnetic spectrum range, but in metaphysical, cosmic thinkability itself."
- Citation & context at Conceptuality & Nonconceptuality, 6 Nov'73

Thinkability
← Thinkability | Thinkability →
Index Entry
Thinkability:
"Human thoughts are always conceptually and definitively confined to system considerability and comprehension. The whole Universe may not be conceptually considered by thought because thinkability is limited to contiguous and contemporary integrity of conformation of consideration, and Universe consists of a vast inventory of nonsynchronous and noncoexisting irreversibly transforming dissimilar events."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-400.07400.07, RBF rewrite 26 May'72

Thinkability
← Thinkability | Thinkability →
Index Entry
Thinkability:
"... The conceptual is just a fantastically limited part of the total, not just in the electromagnetic spectrum range, but in thinkability itself."
- For citation and context see Black Hole (2), 27 Jan'72

Thinkability
← Thinkability | Thinkability →
Index Entry
Thinkability:
"Anything that comes back into itself is a closed system. And all systems, in fact thinkability, does that. What we call thinking is trying to find out how it does return upon itself: What is the outline of that man? What is going on? What is on the other side of the Moon? I have to get all the sides in order to understand it."
- Citation and context at Spherical Triangle Sequence (b), 1 May'71

Thinkability
← Thinkability | Thinkability →
RBF Definitions
Thinkability is always partial."
- Tape transcript #6, Side A, p.23; RBF to Barry Farrell; Bear Island, 16 Aug'70

Thinkability
← Thinkability | Thinkability vs. Space →
Index Entry
Thinkability:
"Universe is simultaneously untunable and only progressively thinkable."
- Citation & context at Tunability: Intra & Ultra, 1954

Thinkability vs. Space
← Thinkability | Thinkability vs. Space (1) →
Index Entry
Thinkability vs. Space:
"What we call thinkable is always outside-out. What we call space is just exactly as real, but it is inside-out."
- Citation & context at Parity, 1 May'71

Thinkability vs. Space (1)
← Thinkability vs. Space | Thinability vs. Space (2) →
Cross Reference
Cross-References

Thinability vs. Space (2)
← Thinkability vs. Space (1) | Thinkable Set →
Cross Reference
Cross-References

Thinkable Set
← Thinability vs. Space (2) | thinkable Set (1) →
Index Entry
Thinkable Set:
"A thought is a thinkable set differentiated out of the scenario: the first subdivision of Universe."
- Citation & context at Thinking, 1 Feb'75

thinkable Set (1)
← Thinkable Set | Thinkable Set (2) →
Cross Reference
First Subdivision of Universe
Cross-References
- Considerable Set: Considered Set, (1)

Thinkable Set (2)
← thinkable Set (1) | Thinkable System Takeout →
Cross Reference
Cross-References

Thinkable System Takeout
← Thinkable Set (2) | Thinkable System Take-out (1) →
Index Entry
Thus the thinkable system takeout from Universe has a 'left out' outside irrelevancy tetrahedron and a 'left in' inside irrelevancy tetrahedron.

Thinkable System Take-out (1)
← Thinkable System Takeout | Thinkable System Take-out (2) →
Index Entry
Thinkable System Take-out:
"Now I came a little while ago to discovering that any thinkable set that I'm considering is a set in which the sums of the angles around all these vertexes is always 720 degrees less than the numbers of the vertexes times 360. 720: that's the sum of the angles of one tetrahedron. So I find the difference between this global thinkable set and 360 degrees, which would seemingly go to infinity, wouldn't it?-- be a plane-- if there are 360 degrees around every point it really goes into a plane, then. So the difference between-- we'll see what it looks to you and me, feels like-- infinity, or a plane. Take a piece of paper. I have to take out some angle to make it come back on itself. I find the amount of angle. If you strip off the skin of an animal, of a crocodile, or a giraffe, all in one piece. In order to be able to lay it out flat you have to keep cutting sinuses to keep it going out flat. You'll find that the number of the angles will always be 720 degrees. When you put it back together again you take out the 720 degrees-- close them up. So I find that the difference between what seems to be infinity of a plane and a local conceptual set is one tetrahedron.
"Now in our experience we have something we call size. But I"

Thinkable System Take-out (2)
← Thinkable System Take-out (1) | Thinkable System Take out (3) →
RBF Definitions
"point out to you that an angle is an angle independent of the length of its edges. I can take three angles and get a triangle. A triangle is a triangle quite independent of size. In other words, there's conceptuality independent of size. Therefore when I say tetrahedron the tetrahedron could be any size to accommodate what we're talking about-- the rest of Universe and what I am considering.
"So I have something very interesting here. Because, again Einstein, talking about the physical Universe and the physical Universe has all these nonsimultaneous and only partially overlapping events. I point out that the individual events themselves are finite. So I then saw that we could say that Universe, both physical and metaphysical, all of our experiences, are each finite. Every one begins and ends. That's one of the most important kind of characteristics we can observe from all of our physical experimentation. All energy quanta, individual packages, an individual package being finite then, an aggregate of finites is finite. So we have a Universe.
"Now what man used to call infinite, I call finite but"

Thinkable System Take out (3)
← Thinkable System Take-out (2) | Thinkable System Take-Out →
Index Entry
nonunitarily conceptual. What he used to call finite I call de-finite, definable, and conceptual- and Universe, which is finite, but nonconceptual- turns out to be one tetrahedron. Now There's also a concave and convex tetrahedron, so it turns out to be two. There's an inward and an outward one, okay?

Thinkable System Take-Out
← Thinkable System Take out (3) | Thinkable System Takeout (1) →
Index Entry
"The difference between nonconceptual nonsimultaneous Universe and Thinkability is always two tetrahedra as k-acro to complete the convex localness outside the system-- and one tetrahedron as k-acro to complete the concave localness inside of the system, to add up to finite but nonconceptual Universe. Thus the thinkable system take-out from Universe has a left out outside tetrahedron and a left out inside tetrahedron."
Cite RBF to EJA, 3200 Idaho, DC, 22 feb '72

Thinkable System Takeout (1)
← Thinkable System Take-Out | Thinkable System Takeout (2) →
Cross Reference
Thinkable System Takeout:
Irrelevancies: Dismissal of Irrelevancies
Metaphysical & Physical
Tetrahedron: One Tetrahedron
Cross-References

Thinkable System Takeout (2)
← Thinkable System Takeout (1) | Thinkable You (1) →
Cross Reference
Cross-References
- Conceptuality, 17 Oct'72
- Fourfold Twoness, 10 Nov'74

Thinkable You (1)
← Thinkable System Takeout (2) | thinkable you (2) →
Index Entry
What is really important, however, about you or me is the thinkable you or the thinkable me, the abstract metaphysical you or me, what we have done with these images, the relatedness we have found, what communications we have made with one another. We begin to realize that the dimensions of the thinkable you are phenomenal: when you hear Mozart on the radio, that is, the metaphysical-- only intellectually identifiable-- eternal Mozart who will always be there to any who hear his music. When we say 'atom' or think 'atom' we are intellect-to-intellect with livingly thinkable Democritus, who first conceived and named the invisible phenomenon 'atom.' Were exclusively tactile Democritus to be sitting next to you, surely you would not recognize him nor accredit him as you do the only-thinkable Democritus and what he thought about the atom.
You say to me: 'I see you sitting there.' And all you see is a little of my pink face and hands and my shoes and my clothing, and you can't see me, which is entirely the thinking, abstract, metaphysical me. It becomes shocking to think that we recognize one another only as the touchable, nonthinking biological organism and its clothed ensemble.

thinkable you (2)
← Thinkable You (1) | thinkable you →
RBF Definitions
Reconsidered in these significant identification terms, there is quite a different significance in what we term 'dead' as a strictly tactile 'thing,' in contrast to the exclusively 'thinking' you or me. We can put the touchable things in the ground, but we can't put the thinking and thinkable you in the ground. The fact that I see you only as the touchable you keeps shocking me. The baby's spontaneous touching becomes the dominant sense measure, wherefore we insist on measuring the inches or the feet. We talk this way even though these are not the right increments. My exclusively tactile seeing inadequacy becomes a kind of warning, despite my only theoretical knowledge of the error of seeing you only as the touchable you. I keep spontaneously seeing the tactile living you. The tactile is very unreliable; it has little meaning. Though you know they are gentle, sweet children, when they put on Hallowe'en monster masks they 'look' like monsters. It was precisely in this manner that human beings came to err in identifying life only with the touchable physical, which is exactly what life isn't."

thinkable you
← thinkable you (2) | Thinkable You and Me →
Index Entry
thinkable you:
"I began to realize the dimensions of the thinkable you are phenomenal when I hear the radio and hear Mozart. In these kinds of dimensions there is quite a different relationship to what we call dead, which is strictly a tactile thing. l put the touchable thing in the ground but I can't put the thinkable you in the ground. I find this all very extraordinary and the fact then that I see you as the touchable you keeps shocking me. . . . This baby thing of touching became all the dominant measure and we insist on doing things in inches and feet. . . . The tactile is a very unreliable thing. It has very, very little meaning."
- Cite Oregon Lecture #3, pp. 99-100. 5 Jul'62

Thinkable You and Me
← thinkable you | Thinkaboutability →
Index Entry
Thinkable You and Me:
"What is really important about you or me is the thinkable you and me, what we have done with these images, the relatedness we have found, what communications we have made to one another."
- Cite Oregon Lecture #3, p. 99. 5 Jul'62

Thinkaboutability
← Thinkable You and Me | Think-aboutable →
Index Entry
Thinkaboutability:
"Any and all conceptuality and any and all thinkaboutability is inherently systemic (see Secs. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-905.01905.01 and \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-905.02905.02). Systemic conceptuality and thinkaboutability is always consequent only to consideration. Consideration means bringing stars together so that each star may be then considered integrally as unity or as infrasystem complex of smaller systems."
(s1044.04)
- Cite RBF marginalis incorporated in SYNERGETICS, 2nd. ed. at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1044.041044.04, 8 Feb'76

Think-aboutable
← Thinkaboutability | Think-aboutedness →
Cross Reference
Cross-References

Think-aboutedness
← Think-aboutable | Think-aboutedness (1) →
Index Entry
Goldylocks, p.E2, 27 May'75

Think-aboutedness (1)
← Think-aboutedness | Think-aboutedness (2) →
Cross Reference
Think-aboutedness
Cross-References

Think-aboutedness (2)
← Think-aboutedness (1) | Thinking →
Cross Reference
Cross-References

Thinking
← Think-aboutedness (2) | Thinking →
Index Entry
Thinking:
"With awareness and consciousness you already are thinking; but the point is that you didn't start out with the notion of doing some thinking; it wasn't your fault that you started to be conscious of something."
- Citation & context at Silence, 30 Sep'76

Thinking
RBF Definitions
You're not thinking if you know what You're going to be thinking about. If you know where you're going to come out when you start to cerebrate, then that's not thinking; that's merely brain-sorting.
"This is why when I am writing in the margins of typescript redrafts the whole process of thought-catching is so sensitive that I do not know how far this intuitive following of unfolding thought is going to lead. I do not know whether I need more space. I cannot interrupt to turn over on the back of the page or go over on to a new sheet. The thinking is not linear but it has to be expressed in a linear manner; it is a matter of recording an unexpected omnidirectional involvement in a linear writing or graphing pattern."

Thinking
Index Entry
"Your thinking is never valid if you know what you're going to be thinking about. If you know where you're going to come out when you start to think, then that's not thinking; that's merely brain-sorting.
"This is why when I am writing in the margins of a draft the whole process is so sensitive that I cannot interrupt it to turn over on the back of the page or go over on to a new sheet. The thinking is not linear but it has to be expressed in a linear manner; it is a matter of recording a curvilinear process onto the flat."

Thinking (1)
Index Entry
Thinking:
"Euler: (visual : topology) --> V + F = L + 2
Gibbs: (physical states : phase rule) --> F + C = C + 2
"In Universe, the more complex is not predicted by the lesser. We solve problems by dismissing irrelevancies.
"What one word is most appropriate for the experience we call life? Awareness. In the concept of self-and-otherness, the otherness may be integral or it may be separated out. Self-awareness is integral otherness. Awareness of otherness is also awareness of nothingness. The otherness is in a background of nothingness because the otherness is differentiated out.
two points + one nothingness = 1 line + 2
"Self-experience. What is my conscious input when I say I am thinking? Well, I become spontaneously preoccupied. We have a mechanism to retrieve: answers are slowly retrievable.
"If we can't find the right word we circumlocute a description."

Thinking (2)
← Thinking (1) | Thinking (3) →
Index Entry
Every word has its own lag. Human beings do not live at perfection, they do not live at zero-- we are always aberrating. Momentarily irrelevant experiences are dismissed omnidirectionally, both macro and micro. The dismissal is inevitably polyhedral as the resolution is the minimum considerable event. This is the minimum limit case where there is nobody to mark your paper.
"Necklace -> triangle structure -> stable pattern.
Nature always behaves with minimum effort: tetrahedron. If we deal with minimum limits we do not need any physicist to tell us that this is so. 720° -> no continuums -> only energy packages.
"Chords emerge concavely to a vertex. Omnitriangulation. Tetra. Quantum. Total Universe in scientific terms. The live show of the big dipper-- one star showing light that left when Columbus discovered America; another star light that left when there was the Trojan War-- a scenario.
"What is thinkable is unitarily conceptual. The insideness and outsideness of the tetrahedron is Plus Two...."

Thinking (3)
Index Entry
Thinking:
"Physics has not assumed conceptual modelability. When you deal with limits you don't need anyone to mark your paper. You can find your own limits when you go from the whole to the particular."
- Cite RBF to World Game Workshop, Rainey Auditorium, U. Penn., 23 Jun'75

Thinking
Index Entry
Rather than describe thinking I just say what I am conscious of what I do when I say I am thinking. A great deal goes on subconsciously. A thought is a thinkable set differentiated out of the scenario; the first subdivision of Universe.

Thinking
Index Entry
Thinking:
"I find with great democracies and great bureaucracies that the one thing they can't do is think.
"Thinking is a function of an individual and not of groups. An abstract corporation can't think; an individual with it can, but the corporation can't think. And a great state can't think. So there's been no really thinking challenge to the statement that there's not enough to go around."
- Cite RBF to Harvard Law School Forum, 10 Dec'73

Thinking
RBF Definitions
Thinking is a nonsimultaneously recallable aggregate of inherently finite experiences and finite experience furniture-- such as photons of light."

Thinking
Index Entry
Thinking:
"When we say 'we think' our feedback has variable lags that may take overnight or months of time, for all we know. Because we want to understand-- that is to know the interrelationships of clusters of experiences-- our first great discovery is dismissing irrelevancies, the macro-micro characteristics. Add: forgotten questions; different rates of feedback; person's names; random questionings; the challenging set you would like to understand; our friend intuition."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-509.31509.31; floating insert of Apr'71; galley rewrite, 6 Nov'73

Thinking (1)
Index Entry
Thinking:
"In 1927 I said, 'I'm deeply concerned with thought-- the fact that man has the capability to think and remember, a capability it is very clear that animals don't have. I was very aware of yoga. Very aware of Indian cults. Thinkers. People who spend all their time in meditation, thinking... But to be able to sit and think you also ought to have some fuel coming in, otherwise you can think for only about thirty days and then you'll fall over.
"So somebody had to be producing something. So people who were sitting around thinking usually belonged to some religious sect and they had some peasants out there. They'd say: 'We'll do the thinking for you and you raise the vegetables.' That's what happened to most of the churches, most of the cults. I'm very interested in how you grow the food that people who are going to do the thinking eat, and I began to say-- these people talked with great pride of their mystical capabilities, getting through to greater presence and greater ecstasies-- I said: 'What moves me is that we were given the ability to think. What also moves me very much is that we were also given limited capabilities. We don't have any manifestation of being able to get on without the rest of the Universe. So "
- Cite Rasa Gustaitis, WHOLLY ROUND (HR&W, NY), p.157, Feb'73

Thinking (2)
← Thinking (1) | Thinking (3) →
Index Entry
Thinking:
"that I cannot get on without food or air, I cannot get on without the balance going on between vegetation and mammals-- it is perfectly clear to me I could not. I could not get on without anything in Universe that is in Universe. It's a very complex and beautiful piece of design there, and the fact that I wake up and go to sleep, that people are born and die, that we get our information in packages and we articulate in packages-- no continuum at all about it-- so, the fact that I'm given the capability to think is very extraordinary. And to remember. And to be able to formulate. To take advantage of earlier experience. To have a mind and be able to think of alternate ways of carrying on which other species don't have.
"So I said, 'I think what I'm going to do is to accept the wisdom and brilliance of the design of the Universe itself which is a priori to me, in which design it is apparently clearly designed that I would have limitation... And all these people who sit, then, trying to use the thinking thing to break through limits of thinking that are not permitted-- and waste their thinking capability trying to think about ways not allowed"

Thinking (3)
RBF Definitions
them-- it's a complete waste and lack of appreciation of the great design.' I said I'm going to ramify the thinkable ... not disconnecting from understanding in trying to break through to some new Universe." "But it's a new universe," I put in. "There are simply other dimensions." "I'm simply telling you that I'd rather not have any traffic with disconnects," he cuts in impatiently. I wanted to ask how he knew what was 'permitted' to man, as he and Adam, for instance would both have different vibes on the matter. But Fuller is laying it out. He's not open to my questioning now. "I'm very aware of Hindu thinking," he continues. "I'm also very aware of the fact that many things I have been able to discover in my own thought, Hindu thinkers have come to me and said: 'You apparently are having the same thoughts. How did you get them?' And I said, 'I thought it myself.'"

Thinking
Index Entry
Thinking:
"Effective thinking is systematic because intellectual comprehension occurs only when the interpatterning of experience events' star foci interrelationships return upon themselves."
- Citation & context at Closed System, 26 May'72

Thinking
Index Entry
Thinking:
"I'm only thinking when I'm thinking about something."
- Cite RBF at Corcoran Gallery Address, Washington DC, 23 Feb '72

Thinking
Index Entry
Thinking:
"I start thinking with a No-Size conceptual model of a whole system."
- Citation and context at Vacuum, 17/19 Feb '72

Thinking
Index Entry
Thinking:
"People think linearly. They do not think expansively and contractively."
- Cite RBF to EJA, 3200 Idaho, Wash. DC, 7 Oct. '71.

Thinking
Index Entry
Thinking:
". . . Closest packing begins with mm two balls coming together rather than omnidirectionally. Two balls coming together is where thought begins. . . it is a wedding thing. . . and it is^very beautiful thing the way the two balls reoccur at each wave outwardly."
-
Cite RBF to EJA, Beverly Hotel, New York, 19 June 1971.
-
Citation at Omnidirectional, 19 Jun'71

Thinking
RBF Definitions
The individual has an enormous advantage over any great private or public bureacracy because the individual can simply start to think. And there are no space or time or resource limits to thinking. You can think outside of your state and outside of your passport. You can think in terms of the Universe. Then, if you are interested in what your thought discloses to you in the way of principles which seem to be operative in our Universe which do not seem to be properly heeded by man, then you can undertake to learn how to employ those principles, and reduce them into some kind of rearrangement of the physical environment that will induce evolutionarily positive and universally considerate behaviors of humans." - Cite Denver Museums Address. pp.2-3, 2 Jun '71

Thinking
Index Entry
What we call thinking is putting aside irrelevancies-- to dismiss the irrelevancies in order to contemplate the set of consideration.
There are lags in the rate of recallability. Names don't have meaning. Therefore it is harder for our mental retrieval system to remember them.
Irrelevancies are of two kinds: those too infrequent and those too frequent (high Frequency).

Thinking
Index Entry
There are sort of octaves in our thinking. We think octavely.

Thinking
Index Entry
Thinking:
"Thinking is the disciplined deferment of irrelevancies."
- Cite Peter PEARCE, Inventory of Concepts, June 1967

Thinking
Index Entry
"Thinking is a very special kind of conscious self-disciplining of the awarenenses emerging from the subconscious, that is the spontaneous-- originally programmed-- brain processes' handling of its myriad experience data in respect to it brain-integrated digest of its moment-to-moment new experiences and the progressive strategic choices of action or nonactions taken in respect to them.
"When I 'think,' I observe by careful reconsideration of the experience that I don't suddenly move or inject a bright light into an empty-milk-bottle type of brain chamber-- as the expression 'He had a bright idea,' implies.
"I discover that what I call thinking is my concerned preoccupation with a special set of separate experiences between which I have not as yet found the connections and interrelationships. So I find that what goes on is what we all know as feedback, the word which Norbert Wiener gave us as he carefully reconsidered his own brain's behavior.
"We have all experienced saying, 'What's our mutual friend's"

Thinking
Index Entry
Thinking:
"name? 'We both know it well!' And tomorrow you recall it about the same time that I recall it. The process was subconscious. Our feedbacks have lags. They are not instantaneous. But we find that the time lags of our feedbacks vary greatly.
"We ask ourselves questions all day long-- sometimes very minor questions-- and our feedback, unbeknownst to our consciousness, goes right off searching our subconsciously stored, special-case experience files for the answers. So when you lie down and want to go to sleep you are often bothered by many thoughts. These are simply feedbacks to questions you asked earlier and have forgotten that you asked.
"The thinking self-discipline is accomplished by keeping all the feedback messengers in the waiting room while you discover and consider the interrelationships of one particular set of experiences."
- Cite NASA speech, p.39, Jun'66

Thinking
Index Entry
Thinking:
"We see that what we do when we think is to momentarily dismiss all the irrelevant thoughts as we would part the grass to right and left in order to find the path. So thinking is high frequency interception and very temporary diversion to a local holding pattern outside our consideration of all the irrelevant inbound feedback-- just as inbound airplanes are 'stacked up' in the sky near airports by the ground control when too many come in at about the same time. Having isolated a finite set of experiences-- spontaneously grouped for comprehensive consideration-- by dismissing the irrelevantancies, we may proceed to comprehend the isolated system by applying the theory of 'bits,' which breaks up finite wholes into finite parts."
- Cite NASA Speech, pp 39,40, Jun'66

Thinking
Index Entry
Thinking:
"Thinking is a momentary dismissal of irrelevancies.
... There is a twilight zone of tantalizingly almost relevants. There are two such twilight zones-- the macro and the micro-- tantalizingly almost relevants. Between them there is always a set of extraordinarily lucid items of relevance."
-Cite SUMMARY VISION 65, P. 138, Oct'65

Thinking
Index Entry
Thinking:
"In 1927 I started doing the work I am doing and I made up my mind to think and to pay attention to what I thought instead of what other people thought. At that time it was such a new experience to be thinking myself and trying to discipline myself to go along with what I thought that I found it convenient to pay attention to [] whatI was saying... that in due course you find you are getting good results and you are thinking that there are other human beings that are interested in what you are thinking and the thought doesn't belong to you."
- Cite OREGON Lecture #8 - p. 290. 12 Jul'62

Thinking
Index Entry
Thinking:
"We then said, What is thinking? We found that thought did relate to subdivisions of the whole, to our reviewing if possible or seeking for relationships in some relatively small constellation of approximately simultaneous, or some of the same magnitudes and same kind of frequency experiences."
- Cite Oregon Lecture #8, p. 277. 12 Jul'62

Thinking
Index Entry
Thinking:
"If we can't think about the whole universe at one time then what is thinking? We said that thinking was treating with some subdivision of universe. There is apparently a thinking set because we think. Out thoughts are then increments of the total experience, our retreatments, reconsiderations of the local increments in the total experience and what we are interested in from time to time is the interconnectedness of these local increments which we can only think about one experience at a time. We apparently can think about two fairly contiguous things and that is how we are trying to find the relationships. That is the way we find our way. It is extremely interesting to find that this is the way we are designed. We apparently are not designed to think about the totality. And yet we can treat with it and we can collect something like the dictionary which has all the words developed by all men in attempting to communicate all their experiences. We can look at all that collection and we can carry the dictionary around, but we can't read all the words at once. We are continually reminded of the fact that we are able to deal with increments, and then we get big patterns, and we are
- Cite Oregon Lecture #3, p.83, 5 Jul'62

Thinking
Index Entry
Thinking:
"Continually sweeping and reviewing interrelatednesses. We discover our way by overlapping interrelatednesses."
Cite Oregon Lecture #3, p.83, 5 Jul'62

Thinking
RBF Definitions
"What do we do when we think? The scientific inquiry into the thought processes is spoken of as epistemology, so we are now making an epistemological inquiry. Thinking is a subsequential phenomenon. It is an interesting preoccupation. It is an inherently spontaneously self-interesting pre-occupation. You won't go on with it unless you want to and if it isn't prolonged it really isn't thinking. . . . One of the characteristics of thinking is a continuity relatedness. When I stand up and think out loud with you, you will not stay in the room with me long if I don't have a continuity relatedness. Thinking is then dealing with a set of experiences that might be called recollected experiences. I recollect and then discover some generalized patterns that are inherent in special cases."
Citations
- ULICKON Lecture 2 - p. 59, 2 Jul'62

Thinking
Index Entry
So we have come to structure and we have come to pattern. Pattern has emerged first from our preoccupation with getting rid of the irrelevancies and out of it has emerged a minimum constellation, a minimum consideration and it is a four-star affair. It is tetrahedral. It is very amazing to have a geometry just appear out of our just considering what is thought. We have come to some conceptuality and this conceptuality is essential to this thinking process. When we say, 'I understand' there is some conceptuality finally developed.

Thinking
Index Entry
Thinking:
"Thinking is the consideration of different experiences, inherently separate sets of events, and trying to find out what their relatedness is. Each one is a star....
"But the four stars are the minimum which we can really have for an important thought. If I discover only three stars in a thought, there must be at least a fourth star lurking somewhere in the constellation. In fact, I discover that all the stars that could possibly be related are always subdivisible by four."
- Citation & context at Star Events, 2 Jul'62

Thinking
Index Entry
Thinking:
"Now I have discovered that this thinking process is one in which by holding out and getting rid of the irrelevancies, we definitely developed for the first time a conceivable geometry. The geometry of the Universe was not conceivable because it was nonsimultaneous. In the firstplace I found this a very important and satisfying kind of discovery and it stopped me from having to know where the ball ends. It is not a ball, but thought begins to develop the first geometry with a dismissal outwardly and a dismissal inwardly which leaves a spherical zone of irrelevancy. The thinking is omnidirectional."
- Cite Oregon Lecture #2, pp. 66-67. 2 Jul'62

Thinking
Index Entry
Thinking:
"We discover that we divide Universe into an outwardness and inwardness so thinking is the first subdivision of Universe, because Universe we discovered was finite. One of the most important observations about our thought is that the experiences are nonsimultaneous. Therefore nonsimultaneity is a fundamental characteristic and if they are nonsimultaneous you cannot have simultaneous consideration."
- Cite Oregon Lecture #2, p. 65. 2 Jul'62

Thinking
Index Entry
Thinking:
"Once I had discovered that thinking is not an inserting of an idea, but the putting aside of other ideas, so that the ones already there can hold the image longer, for you to look at, I made a very powerful discovery in so general a strategy of thinking which is, that time and again once I have got a good definition of what it is that I am doing, then there are some very surprising results."

Thinking
Index Entry
Thinking:
"Thinking consists of a self-disciplined deferment of conscious consideration of any incoming information traffic other than that which is lucidly relevant to the experience intuited quest for comprehension of the significance of the emergent pattern under immediate priority of consideration.
"Thinking is a putting-aside, rather than a putting-in discipline, e.g., putting aside the tall grasses in order to isolate the trail into informative viewability. Thinking is FM-- frequency modulation-- for it results in tuning out of irrelevancies as a result of definitive resolution of the exclusively tuned-in or accepted feed-back messages' pattern differentiability."

Thinking
Index Entry
Thinking:
"Thinking is frequency modulation-- tuning out finite irrelevancies into two main classes: micro-macro, which leaves residual defined system as lucidly relevant."
- Cite OMNIDIRECTIONAL HALO, p. 141, Caption to Fig. #3 1960

Thinking
Index Entry
The conceptual process is never static. Thinking does not consist of the insertion of invented images into an otherwise empty vacuum-tube chamber called brain. Thinking is the self-disciplined process of preoccupied consideration of special-case sets of feedback-answers selected out of the multitude of high frequency alternating transceiver brain traffic. This traffic consists of omni-experience processed answers to present or past questions, formulated either by the conscious or subconscious coordinating initiative of the individual or possibly by the individual overlapping generation of group memory.

Thinking
Index Entry
Thinking:
"Thinking is inherently exclusive. Experience, which comes before thinking, is inherently inclusive."
- Citation and context at Experience, Feb'50

Thinking
← Thinking | Thinking: Act of Thinking Alters Thought →
Index Entry
Thinking:
"Rationalization is a time-word to replace thinking, which is an ancient, mystically evolved word tentatively signifying an attempt to force the power of god into one's self."
- Citation and context at Rationalization Sequence (1), 1938

Thinking: Act of Thinking Alters Thought
← Thinking | Thinking: Act of Thinking Alters Thought →
RBF Definitions
As Heisenberg shows in his principle of ultimate indeterminism the physical act of measurement always alters the behavior of them measured phenomenon. In the same way . . . the thinking process inherently alters the fundamental patterning of universal thought-about interrelationships."

Thinking: Act of Thinking Alters Thought
← Thinking: Act of Thinking Alters Thought | Thinking: Doing My Own Thinking →
Cross Reference
Cross-References

Thinking: Doing My Own Thinking
← Thinking: Act of Thinking Alters Thought | Thinking: Doing Your Own Thinking →
Cross Reference
Cross-References
- Ego, 9 Nov'75

Thinking: Doing Your Own Thinking
← Thinking: Doing My Own Thinking | Thinking: God is Part of the Process →
Cross Reference
Cross-References
- Psychiatry, (1)
- Thinking, 2 Jul'62
- Ego, 9 Nov'75
- Greater Intellect, (1)

Thinking: God is Part of the Process
← Thinking: Doing Your Own Thinking | Thinking →
Cross Reference
Cross-References
- God, May'65

Thinking
← Thinking: God is Part of the Process | Thinking Out Loud →
Cross Reference
Analogy of Sphere Layers: See General Systems Theory, 11 Mar'69 Invisible Circuitry, (1)(2) Tension, (1)-(4)
Cross-References
- General Systems Theory, 11 Mar'69
- Invisible Circuitry, (1)(2)
- Tension, (1)

Thinking Out Loud
← Thinking | Thinking Out Loud →
Index Entry
Thinking Out Loud:
"If two of us meet and you take a paper out of your pocket and start reading a speech, I will say, 'Let me have that. I can read it myself more effectively.' I am confident that live meetings catalyze swift awareness of the particular experiences of mutual interest regarding which our thoughts are spontaneously formulated. Live meetings often become pivotal in our lives. I have learned that it is possible to stand and think out loud from the advantage of our most effective possible preparation which is all recorded and on tap in our brains and monds. Advance thought about our discourse spoils it. There awaiting its anytime employment by our brain-scanning mind is the ever recorded and high-lighted inventory of our life-long experiences integrated with all the relevant experiences others have communicated to us. Out of this inventory your live presence catalyzes my freshly reconsidering thoughts relevant to our mutual interests."
-Cite ENVIRONMENT AND CHANGE, Ed. W.R. Ewald, pp 341-342.
Above passage deleted from beginning of OPERATING MANUAL FOR SPACESHIP EARTH. 1968

Thinking Out Loud
← Thinking Out Loud | Thinking Out Loud (1) →
Index Entry
Thinking Out Loud:
"I think I have finished introducing our exploration. Would any of you now like to ask me any questions? If you don't, then I will keep on thinking out loud. For about 34 years I have been practicing thinking out loud. I have found it is a very worthwhile kind of an experience to stand up before your fellow man and to confront yourself with taking inventory of what we do know and how do we organize it, because each time I take the inventory, I find that the inventory has changed. My knowledge of what we know is changed. And man's knowledge has been changing very rapidly. . . So I stand up in taking inventory . . . and find the inventories come out differently each time."
- Cite Oregon Lecture #1, p. 23,24. 1 Jul'62

Thinking Out Loud (1)
← Thinking Out Loud | Thinking Out Loud (2) →
Cross Reference
Cross-References
- Intuition: Eye-beamed Thoughts
- Lecturing

Thinking Out Loud (2)
← Thinking Out Loud (1) | Thinking: What He Thinks He Thinks →
Cross Reference
Cross-References
- Average Man, (1)(2)
- Communicating, (1)(2)
- Thinking, 2 Jul'62

Thinking: What He Thinks He Thinks
← Thinking Out Loud (2) | Thinktionary →
Cross Reference
Cross-References
- Consciousness, Jun'66
- Dream, 1968
- Identity, May'70
- Imagination, 22 Apr'71
- Thinking, 2 Jun'71
- Thought, 1967
- Understanding, Jun'69
- Nature, 13 May'73

Thinktionary
← Thinking: What He Thinks He Thinks | Thinks →
Index Entry
Thinktionary:
"Goldy says to the three bears, 'If you don't understand any of my words, you can find them in the dictionary.' Wee Bear replies, 'Out here we use cosmic thought communication. We don't have to find words in special language diction-aries. We use a cosmic thinktionary. All your dictionaries express the universal concepts of our thinktionary, but only in special, ethnic language, sound words. The concepts, such as mountain or star or nuance are the same experience-engendered concepts in all languages. We understand you perfectly, Goldy.'
"Concepts are always synergetic systems. Systems are minimum-maximum sets of thinkable, conceptual omniinterrelevant recollections, intertunably differentiated only by time out of nonsimultaneous, unitarily nonconceptual scenario Universe."

Thinks
← Thinktionary | Thinkable: Thinking (1) →
Index Entry
All the thinks of Universe may be a priori. . . .
This relates to my description of the ultra-ultra-high
frequency transceiver functioning of the eyes, as
described in Synergetics and elsewhere.
- Cit RBF rewrite of 10 Sep'75 citation; 3200 Idaho,
Wash, DC: 11 Aug'76

Thinkable: Thinking (1)
← Thinks | Thinkable Thinking (2B) →
Cross Reference
Man-thinkable
Cross-References
- Antithinking
- City as Center of Abstract Intercourse
- Comprehensive Thinking
- Conceptuality
- Considerable
- Considerable Set
- Considered Set
- Dead Animal
- Epistemology
- Geometry of Thinking
- Irrelevancies: Dismissal Of
- Limits of Thinking
- Meaning
- Mind
- Nonthinking
- Precessional Thinking
- Relevant: Lucidly Relevant Set

Thinkable Thinking (2B)
← Thinkable: Thinking (1) | Thinkable: Thinking (2A) →
Cross Reference
Cross-References
- Thought
- Spherical Thinking
- Prime Thinkability
- Imaginatability
- Self-communicate
- How Do You Think?
- Demonstrable vs. Thinkable
- Unemployment as Freedom to Think
- Fuller, R.B: The Thinking Me
- Sleeping & Thinking

Thinkable: Thinking (2A)
← Thinkable Thinking (2B) | Thinkable: Thinking (2B) →
Cross Reference
See Animate & Inanimate Sequence, (2)
Realization Sequence, (1)*
Cross-References
- Animate \& Inanimate Sequence, (2)
- A Priori Mystery, 24 Feb'72
- Black Hole, (2)
- Child Sequence, (1)(2)
- Closed System, 26 May'72*
- Conception, 1960
- Experience, Feb'50*
- Fuller, R.B: Modus Operandi, Feb'72
- God, May'65
- Individual Economic Initiative, Dec'72
- ave, Oct
- Omnidirectional, 19 Jun'71*
- Parity, 1 May'71*
- Reading, (1)
- Relative Asymmetry Sequence, (1)
- Spherical Triangle Sequence
- Star Events, 2 Jul'62*
- Systems & Nonsystems, 26 May'72
- Fuller, R.B: Crisis of, 1927

Thinkable: Thinking (2B)
← Thinkable: Thinking (2A) | Thinkable (3) →
Cross Reference
Cross-References
- Tunability: Intra & Ultra, 1954
- Tetrahedron, 2 Jul'62*
- Vacuum, 17 Feb'72*
- War, 1 Nov'42
- Conceptuality & Nonconceptuality, 6 Nov'73*
- Nonsimultaneity, 7 Nov'73*
- Starting with Divergence, 19 Feb'76
- Nuclear Pattern of Growth &ay, Dec
- Silence, 30 Sep'76*
- Me, 18 Dec'76
- Synergetics, 12 May'77

Thinkable (3)
← Thinkable: Thinking (2B) | Third Dimension →
Cross Reference
Cross-References
- Thinkability
- Thinkability vs. Space
- Thinkable System Takeout
- Thinkable You
- Think-aboutedness
- Thinking: Act of Thinking Alters Thought
- Thinking: Analogy of Sphere Layers
- Thinking: God Is Part of the Process
- Thinking Out Loud
- Thinking: What He Thinks He Thinks
- Thinktionary
- Thinking: Doing My Own Thinking
- Thinkaboutability
- Thinks

Third Dimension
← Thinkable (3) | Third Parent →
Cross Reference
Third Dimension:
Cross-References

Third Parent
← Third Dimension | Third-Power Rate of Variation Model →
Cross Reference
Third Parent:
Cross-References

Third-Power Rate of Variation Model
← Third Parent | Third World →
Index Entry
Third-Power Rate of Variation Model:
"Granted that there is then in respect to any two points in Universe a tetrahedron that can be given any symmetrical or asymmetrical tetrahedral shape, any of whose volumes will remain uniform or will vary uniformly at a third-power rate in respect to any alteration of the distance between the two initial control points on the axial control line; the, any four points in Universe, provided one is not in the plane of the other three, can be interconnected by varying the angular orientation of the control-line axis and the distance between the two central control points."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-961.30961.30, 16 Nov'72

Third World
← Third-Power Rate of Variation Model | Thirst →
Cross Reference
Cross-References
- Selfishness, 20 Sep'76

Thirst
Cross Reference
Humand Born Helpless, 15 May'75
Cross-References
- Berry Picking
- Fear & Longing, 16 Oct'69
- Photosynthesis, (2)
- Mistake, 9 Nov'75

Thirteen
Index Entry
Thirteen:
"Thirteen is the lowest possible number connected with a structurally stable triangulated nucleus."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1011.101011.10, Sep'71

Thirteen
Index Entry
Thirteen:
"Thirteen is the lowest number connected with an omnidirectional nucleus."
-
- Cite RBF to EJA, Fairfield, Conn., Chez Wolf 18 June 1971.

Thirteen
← Thirteen | Thirty Minimum Aspects of a System →
Cross Reference
Cross-References
- Closest Packing of Spheres, 29 May'72
- Prime Number, 16 Oct'71

Thirty Minimum Aspects of a System
← Thirteen | Thirty Minimum Aspects of a System →
Index Entry
Thirty Minimum Aspects of a System:
"Considering just that which is thinkable or any convergence of events that is think-aboutable, if you are dealing with what you would call substance then you must be dealing with insideness and outsideness. The insideness and outsideness divides the macrocosmic and the microcosmic. Two points do not have insideness. Three points do not have insideness. One point defines a point. Two points define a line. Three points define a plane. Four points define volume: an insideness and outsideness.
"So we come to a system that consists of a number of irreducible aspects. The four points have six lines connecting them and there are four triangular windows and 12 angles. This gives you a total of four points plus six edges plus four windows, that makes 14; plus 12 angles, makes 26; plus a concave and a convex, which is 28; and there is also the outsideness and the insideness, for a total of 30. I find that there are 30 irreducible aspects of anything. If you come to anything it has a 30-foldedness. This is quite exciting.
"Now I have said that there is only one word that I can find that gives me an operational definition of what we call life--what I am experiencing--and it is 'awareness.' And I've said"

Thirty Minimum Aspects of a System
← Thirty Minimum Aspects of a System | Thirty Minimum Topological Characteristics (1) →
Index Entry
Thirty Minimum Aspects of a System:
"No otherness, no awareness. But a physicist has told me that there are philosophers who will not go along with me on that proposition of self and otherness because you can also be aware of yourself. So then I say you can be aware of yourself as a system. You have your insideness and your outsideness and there is your otherness right there. Any one aspect of the minimum system aspects may be observing the others. There is always otherness because the system (which includes the self as system) is a complex of 30-fold irreducible aspects.
"You can be either a system looking at another system or you can be a system looking at yourself. But that is otherness. Unity is plural and at minimum 30. Isn't that nice? I used to talk about unity as plural and at minimum two, but if you want to separate out, then there is really an inherent 30.
"That is really so incontrovertible. This is how the mind starts... Those are the edges of an icosahedron. They are aspects. So I see that is the otherness, the other system. The electron is the icosahedron, that 30-otherness lurking around there that refuses to compound with the otherness. You cannot add the Icosa to the VE; you can add it to itself and it comes back and makes an octahedron again."
- Cite RBF to Hugh Kenner, Phila. PA, transcript p.6; 8 Jun'75

Thirty Minimum Topological Characteristics (1)
← Thirty Minimum Aspects of a System | Thirty Minimum Topological Characteristics (2) →
Index Entry
Thirty Minimum Topological Characteristics:
"A system divides all the Universe into six parts: all the Universe outside the system-- the macrocosm; all the Universe inside the system-- the microcosm; and the four star-events ABCD which do the dividing.
"The separation of insideness and outsideness begins only with completion of the interrelationship lines of the four separate entity-producing events. The four star events ABCD have six separate, unique, and most economical interrelationship lines, AB, AC, AD, BC, BD, CD. These six lines and their four interconnected star-corners inadvertently produce four triangular facets of the minimum polyhedron, which four facets completely enclose the system to exclude the macrocosm and include the microcosm.
"A system consists at minimum of four nonsimultaneous but co-occurring, because overlapping, yet dissimilar, beginning and enduring star-entity events of six interrelationship lines and four nothingness-window-facets, plus 12 unique, intercovariant vertex angles-- 26 conceptual, topological components of a system, to which must be added the multiplicative, ultravisible,"

Thirty Minimum Topological Characteristics (2)
← Thirty Minimum Topological Characteristics (1) | Thirty Minimum Topological Characteristics →
Index Entry
Thirty Minimum Topological Characteristics:
"macrocosmic outsideness and infra visible, microcosmic inside- ness, as well as the inseparably co-occurring inside concavity and outside convexity of all systems: for a total component inventory of 30 items."
"Three thousand years ago the Greek geometers named this minimum system the tetrahedron. Tetra = four; hedron = sides. A system cannot have less than four triangular polygon 'faces' (or dides or windows) nor less than three triangular polygon 'faces' surround each of the system's four event-corners. The triangle is the minimum polygon face. You cannot have a polygon of less than three edges. You cannot have a location-fix-point that is less than one fix-point. You cannot have an event-tracing line that is less than a line. You cannot have an angle that is less than a minimum angle. And you cannot have a system of less than 30 uniquely differentiable and geometrically describable characteristics."

Thirty Minimum Topological Characteristics
← Thirty Minimum Topological Characteristics (2) | Thorn →
Cross Reference
Cross-References

Thorn
← Thirty Minimum Topological Characteristics | Thorn (1) →
Index Entry
"Many programed plants have thorns and thistles; if you try to interfere with them you get scratched or barbed...."

Thorn (1)
Cross Reference
Communication Hierarchy, (1)
Cross-References
- Ecology Sequence (G)
- Redundancy: Reduction Of, 22 Apr'71

Thought
Index Entry
"Thought = relevant set = insideness & outsideness = four stars = tetrahedron."

Thought
Index Entry
Thought:
"Systems are inherently polyhedral. Systems of thought Divide the Universe Into the conceptual and the nonconceptual. Conceptual systems always consist Of a constant relative abundance Of the lines, crossings and areas In which C + A = L + 2."

Thought
RBF Definitions
Thought is systemic. Cerebration and intellection are initiated by differential discernment of relevance from nonrelevance in respect to dIntuitively focused-upon complex of events which also intuitively suggest inherent and potentially significant system interrelatedness,"

Thought
Index Entry
Thought:
"Two balls coming together is where thought begins..."

Thought
Index Entry
Thought:
"It is a consequence of the phenomenon time and a consequence of the phenomena we call afterimage, or thinking, or reconsideration, which has inherent lags of recallability of the various special-case experiences. So the very consequence of awareness is to impose the phenomenon time upon an eternal Universe. It is awareness itself which is in all the asymmetries really and the pulsations are all consequences of just thought itself... of the ability of Universe to consider itself, to look upon itself."
SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-529.09529.09
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1031.161031.16
- Cite RBF tape transcript, Blackstone Hotel, Chicago, p.47, 31 May'71

Thought
Index Entry
Thought:
"I do not invent my thoughts."
- Citation and context at Order, 1971

Thought
Index Entry
Thought:
"...Most important of all we can't see the abstract weightless thoughts in the minds of other men."

Thought
Index Entry
Thought:
"Thought itself simply alters that which you think about."
- Citation and context at Heisenberg-Eliot-Pound Sequence, 1967

Thought
Index Entry
Thought:
"...The thought doesn't belong to you."
- Citation and context at Thinking, 12 Jul'62

Thought
← Thought | Thought & Action →
Index Entry
Thought:
"...The persistence of the familiar in our own environmental close-up-- thought, which causes the dynamic interpenetrations to appear as a static, rather than as a periodic-continuity environment reality."
- Citation & context at Periodic Reality, (1), May'49

Thought & Action
← Thought | Thought & Energy →
Index Entry
(§\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-261.01261.01)

Thought & Energy
← Thought & Action | Thought & Energy →
Index Entry
Thought & Energy:
"Thought must be somehow comprehensive to energy."
- Cite RBF quoted by Reyner Banham, New Statesman, p.190; 15 Aug'59

Thought & Energy
← Thought & Energy | Thought = Relevant Set →
Cross Reference
Thought & Energy:
Cross-References

Thought = Relevant Set
← Thought & Energy | Thought Has Shape →
Cross Reference
Cross-References
- Thought, 20 Jan'75

Thought Has Shape
← Thought = Relevant Set | Thought Has Shape →
Index Entry
Thought Has Shape:
"Thought has shape independent of size."
- Cite RBF marginalis, 21 Dec. '71 at SYNERGETICS Draft "Discoveries of Synergetics" later Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-251.21251.21.

Thought Has Shape
← Thought Has Shape | Thought (1) →
Cross Reference
Thought Has Shape:
Cross-References

Thought (1)
← Thought Has Shape | Thought (2) →
Cross Reference
Thinkable Set
Conceptions
Deselfed Thought
Integrity of Thought
Isotropic-vector-matrix Fields of Thoughts
Cross-References
- Chaos of Thought
- Eye-beamed Thoughts
- Geodesically Structured Thoughts
- Geometry of Thinking
- Message Contents
- Meaning
- Making Thought Objective
- Semantics
- Thinking
- Weightlessness of Thought
- Thought = Relevant Set
- thinkable Set
- Adventure Story of Thought
- Thinks

Thought (2)
Cross Reference
Periodic Reality, (1)*
Cross-References
- Conceptuality, 17 Oct'72
- Energy Event, 1960
- Heisenberg-Eliot-Pound Sequence, 1967
- Metaphysical Environment, 13 Nov'69
- Metaphysical synergy, Jan'72
- Minus Two, Aug'73
- Order, 1971
- Thinking, 12 Jul'62*
- World Game, 4 Mar'69*
- Two Balls Coming Together, 19 Jun'71*
- Universe, 1955
- Visibility & Invisibility of Systems, (1)
- Tetratuning, 30 May'75
- In, Out & Around, Nov'71
- Mutual Survival Principles, (3)
- Equilibrium & Disequilibrium, 20 Feb'77
- Human Beings, 22 Jun'77

Thought (3)
Cross Reference
Thought:
Cross-References

Thread
Index Entry
Thread:
"In the tensegrities . . . you don't have any strings or ultimately smallest solid thread."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-761.03761.03, 31 Oct'72

Thread
Cross Reference
Thread:
Cross-References

Three
Index Entry
Three:
"Frequency begins with three-- with triangle, which is the minimum cyclic enclosed circuitry."
- Citation at Triangle, 17 Feb'73

Threeness
Index Entry
Threeness:
"Threeness constitutes a planar relatedness, which is inherently triangular. Three triangular planes alone cannot differentiate, distinguish, or constitute a system."
- Citation & context at System, 27 May'72

Three
← Threeness | Three Axes = Three-way Grid →
RBF Definitions
"... The cube is the basic three. .."
Citations
- Carbondale Draft Return to Modelability, p. V,7
- NASA Speech, p.63, Jun'66

Three Axes = Three-way Grid
Index Entry
Three Axes = Three-way Grid:
"Three axes = three-way grid = three vectors for every vertex."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1100-triangular-geodesics#section-1120.101120.10

Three Automobiles
← Three Axes = Three-way Grid | Three Axes of Crystallography →
Cross Reference
Cross-References

Three Axes of Crystallography
← Three Automobiles | Three-Dimensional →
Index Entry
There are only three topological axes of crystallography. They are:
Spin of diametrically opposite vertexes
Spin of diametrically opposite mid-edges
Spin of diametrically opposite centers of face areas
= Three topological types of axes
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1041.011041.01; RBF galley rewrite, 27 Dec'73

Three-Dimensional
← Three Axes of Crystallography | Three-dimensional →
Index Entry
Three-Dimensional:
"Arithmetical three-dimensionality is identified with volumetric space growth rates."
- Citation and context at Dimensionality, II (1), 28 Oct'73

Three-dimensional
← Three-Dimensional | Three-Dimensional →
Index Entry
"Instead of three-dimensional we may say insideness-and-outsideness, or we may say four-dimensional, referring to the four planes of the tetrahedron." - Citation & context at Starting with Divergence, 19 Feb'76

Three-Dimensional
← Three-dimensional | Three-dimensional Limit →
Index Entry
In book Synergetics I must eliminate the words three-dimensional as meaningful, and always use omnidirectional observation of multi-dimensional characteristics, with angle and frequency of cyclic reference as the only requirements.

Three-dimensional Limit
← Three-Dimensional | Three-dimensional →
Cross Reference
Cross-References
- Perpendicularity, 17 Nov'72

Three-dimensional
← Three-dimensional Limit | Three-dimensional (1) →
Cross Reference
Fourth Dimension: VE as Fourth-dimension Model, 22 Jun'77
Cross-References

Three-dimensional (1)
← Three-dimensional | Three-dimensional (2) →
Cross Reference
Three & Four Dimensions
Cross-References

Three-dimensional (2)
← Three-dimensional (1) | Three →
Cross Reference
Cross-References
- Cartography: Conventional Projections, (1)(2)
- Fourth Dimension, Mar'72
- Parallelism, 11 Jul'62
- Vector Equilibrium, 19 Nov'74
- Convergent vs. Parallel Perception, 13 Nov'75
- Starting with Divergence, 19 Feb'76*

Three
← Three-dimensional (2) | Three-phase Vectors →
Index Entry
Number Function of Three in a Four-axial System:
"In the four-dimensional coordinate topology of synergetics the number three associates most economically, (i.e., most close packingly) in five equieconomical ways:
(a) omnidivergently and entropically only with six;
(b) omniconvergently and syntropically only with one;
(c) frequency divergent only with four;
(d) frequency convergent only with two; and
(e) inside-outingly, pulsatively only with five;
but three never associates perpendicularly or in parallel with another three."
- Cite SYNERGETICS 2 draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-962.08962.08; 24 Jan'76

Three-phase Vectors
← Three | Three-petaled Flower Bud →
Cross Reference
Cross-References
- Geometry of Vectors, 27 Jan'75

Three-petaled Flower Bud
← Three-phase Vectors | Three & Only Structural Systems →
Cross Reference
Cross-References

Three & Only Structural Systems
← Three-petaled Flower Bud | Three-vector Teams: Threefold Vectoring (1) →
Cross Reference
Tensegrity: Basic Tensegrity Structures: Three & Only
Cross-References

Three-vector Teams: Threefold Vectoring (1)
← Three & Only Structural Systems | Three-vector Teams Threefold Vectoring (2) →
Cross Reference
Cross-References
- Happening Patterns
- Minimum Structural System
- Proton & Neutron
- Paired-event Quanta
- Tripartite
- Z Cobras
- Action-reaction-resultant
- Basic Event
- Open Triangular Spirals

Three-vector Teams Threefold Vectoring (2)
← Three-vector Teams: Threefold Vectoring (1) | Three-way Great Circling: Three-way Grid →
Cross Reference
Cross-References
- Structure, 25 Dec'68
- Triangle
- Quantum Mechanics: Minimum Geometrical Fourness, (4)

Three-way Great Circling: Three-way Grid
← Three-vector Teams Threefold Vectoring (2) | Three-Way Great Circling, Three-Way Grid →
Index Entry
The nonpolar points are not fixable or structurally stabilized until occurring at the crossings of a three-way-great-circled-triangular-spherical-surface-grid, generated symmetrically in respect to the polar axis of the system.
- CITE RBF rewrite of SYNERGETICS at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-527.24527.24, (galleya), 7 Nov'73

Three-Way Great Circling, Three-Way Grid
← Three-way Great Circling: Three-way Grid | Three-way Great Circling →
Index Entry
Three-Way Great Circling: Three-Way Grid:
"Gravitation is omni-embracing. In the barrel hoops gravity operates only in single and parallely separate planes. Omnitriangulated geodesic spheres consisting exclusively of three-way interacting great circles are realizations of gravitational field patterns. Events are forced to bounce in spherically contained circles because they seek the largest possible interior circumference patterns. All great circles cross each other twice. Three or more noncongruent great circles are automatically inter-self-triangulating in their repetitive searching for the 'most comfortable' interactions which always resolve their three-way-great-circle patterning into regularspherical icosahedra, octahedra, or tetrahedra. The gravitational field will ultimately be disclosed as ultra high-frequency tensegrity geodesic spheres. Nothing else."
[98]
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1009.921009.92, 8 Mar'73

Three-way Great Circling
← Three-Way Great Circling, Three-Way Grid | Three-way Great Circling: Three-way Grid →
Index Entry
Three-way Great Circling:
"The nonpolar point is not fixable or structurally stabilized until it is three-way great circled."
- Citation at Nonpolar Points, 29 Nov'72

Three-way Great Circling: Three-way Grid
← Three-way Great Circling | Three-Jay Great Circling: Three-Jay Grid →
Index Entry
Three-way Great Circling: Three-way Grid:
"A social experience of three cars: they make a triangle changing from scalene to equilateral to scalene. The triangles are where the cars don't hit. (These are simply the windows.) But you can't draw less than four triangles. The complementarity of the three triangles makes the spherical tetrahedron-- which makes the three-way grid...
"Such dynamically defined Earth triangulation is not a static grid because the lines do not go through the same point at the same time; lines-- which are always action trajectories-- never do. All we have is patterning integrity of critical proximities. There is always a nonviolated intervening boundary condition. This is all that nature ever has."
- Citation and context at Probability Model of Three Cars on a Highway (3), 26 Sep'73

Three-Jay Great Circling: Three-Jay Grid
← Three-way Great Circling: Three-way Grid | Three-Way Great Circling Three-Way Grid →
Index Entry
"But you can't draw less than four triangles. The complementarity of the three triangles make the spherical tetrahedron-- which makes the three-way grid. The little windows are 15' -- or 15 miles on the Earth's surface. It is really not a grid because the lines don't really go through the same point at the same time. All we have is critical proximities. There is always a boundary layer condition. This is all that nature has ever done. The probability and the degrees of freedom-- which leads to the tensegrity sphere; which leads to the pneumatic bag; which is the same kind of reality as the three automobiles. It all averages out to be 60 degrees. That is probability because you are in a closed system. Probability is not linear nor planar, but it is following the laws of sphericity or whole systems. It ties up with the three-way grid and with the constant relative abundance of points, areas, and lines, as disclosed by synergetics."

Three-Way Great Circling Three-Way Grid
← Three-Jay Great Circling: Three-Jay Grid | Three-Way Great Circling; Three-Way Grid →
Index Entry
Three-Way Great Circling: Three-Way Grid:
"The discovery of the mathematically regular three-way great circle spherical coordinate cartographic grid of an infinite frequency series of progressive modular subdivisions, with the spherical radii which are perpendicular to the enclosing spherical field remaining vertical to the corresponding planar surface points of cartographic projection; and the commensurate identification of this same great circle triangulation capability with the icosahedron and vector equilibrium , as well as with the octahedron and the tetrahedron."
- Cite SYNERGETICS, Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-251.20251.20, April '72, incorporationg Rbf rewriting of same at Kennedy Airport, NY 1 Apr '72.

Three-Way Great Circling; Three-Way Grid
← Three-Way Great Circling Three-Way Grid | Three-Way Great Circling: Three-Way Grid →
Index Entry
Three-Way Great Circling: Three-Way Grid:
"The synergetic discovery of the identification of the surface points of the system with second powering accommodates quantum mechanics' discrete energy packaging of photons and elucidates Einstein's equation, E = Mc^2, where the omnidirectional velocity of radiation to the second power-- c^2 -- identifies the rate of the rational order growth of the discrete energy quantation. This also explains synergetics' discovery of the point-state external growth of systems. It also elucidates and identifies the second power factoring of Newton's gravitational law."
- Cite RBF to EJA, 21 Dec. '71, Washington, D.C. incorporated in SYNERGETICS at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-251.25251.25.

Three-Way Great Circling: Three-Way Grid
← Three-Way Great Circling; Three-Way Grid | Three-Way Great Circling →
RBF Definitions
"The discovery of the mathematically regular three-way great circle spherical coordinate cartographic grid of an infinite frequency series of progressive modular subdivisions and the commensurate identification of its triangulation with the icosahedron."
Citations
- RBF to EJA, 21 Dec. '71, Washington DC, incorporated in SYNERGETICS, at Sec. \href{https://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-251.20}{251.20}.

Three-Way Great Circling
← Three-Way Great Circling: Three-Way Grid | Three-Way Great Circling →
Index Entry
Three-Way Great Circling: Three-Way Grid:
"The mathematical regularity identifies the second power of the linear dimensions of the system with the number of non-polar crossings of the comprehensive three-way great circle gridding, in contradistinction to the previous mathematical identification of second powering exclusively with surface areas."
- Cite RBF to EJA, 21 Dec. '71, Washington DC, incorporated in SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-251.24251.24.

Three-Way Great Circling
← Three-Way Great Circling | Three-Way Great Circling: Three-Way Grid →
Index Entry
Three-Way Great Circling:
"I found to my amazement mathematicians making statements that you could not make three-way grids of great circles. ... And so I did find that nature is using three-way triangulation. This gave me then the realization that. ... You can take a flat piece of paper and it has no structural strength whatsoever-- it will crumple. But if I make it into a cylinder, a simple curvature, I now can use it as a column. ... that is where all the lines are parallel to each other like a barrel, but I saw that if I could make a three-way interaction of great circles, it would give me extraordinary stability. And that is really what compound curvature is."

Three-Way Great Circling: Three-Way Grid
← Three-Way Great Circling | Three-Way Great Circling: Three-Way Grid: Spontaneity →
Index Entry
While great circles are the shortest distances around spheres, a single great circle band around a sphere will readily slide off. Because there are an infinity of great circles through any two points on a sphere 180° apart, two great-circle bands-- automatically self-polarizing-- on a sphere can also rotate equatorially and approach congruency thereafter to act as one meridian and therefore slide off. Not until we have three-great circle bands as in a spherical octahedron providing omnitriangulation, do we have the great circles acting structurally to interstabilize their respective positions by closing finitely to provide triangularly fixed points less than 180° apart. Between the latter the single great circles-- or shortest distances between two points not 180° apart-- are thereafter spontaneously sought by the 'spherical barrel' bandings.

Three-Way Great Circling: Three-Way Grid: Spontaneity
← Three-Way Great Circling: Three-Way Grid | Three-Way Great Circling: Three-Way Grid →
Index Entry
Three-Way Great Circling: Three-Way Grid: Spontaneity:
"The greater the further subtriangulation of the sphere,
the greater the spontaneity and facility of the mutual
positional interstabilization. This spontaneity is brought
about by the shortest-distance-seeking of the less than
180° arcs of great circles and the latter's respective
tension bands."

Three-Way Great Circling: Three-Way Grid
← Three-Way Great Circling: Three-Way Grid: Spontaneity | Three-Way Great Circling →
Index Entry
"It is probable that this three-way grid of great circles had remained undiscovered-- alike by mathematicians and explorers of the machine tool's potentials-- because the great circle connectors do not have common axes (poles.) That is to say, they are not a 'family of great circles,' but a randomly occurring, split-into-pairs set, whose properties are first discoverable only by intuitively initiated empirical exploration."
- Cite Noah's Ark, 1950. p.1.

Three-Way Great Circling
← Three-Way Great Circling: Three-Way Grid | Three-way Great Circling Three-way Grid (1) →
Index Entry
Three-Way Great Circling: Three-Way Grid:
"The three-way great circle grids result from uniform boundary scale subdivision of the edges of the equiside-and-angle triangles, and the great-circle joining of the respective points of uniform subdivision of the edges of the triangles in such a manner that (reading from any of the primary vertexes along the respective diverging edges from the primary vertex) the connecting great circle lines should always connect the subdivision points between one unit of interval with two units of interval of the respectively diverging edges.
- Cite Noah's Ark, 1950, p. 1.

Three-way Great Circling Three-way Grid (1)
← Three-Way Great Circling | Three-way Great Circling Three-way Grid (2) →
Cross Reference
Three Axes - Three-way Grid
Cross-References
- Arounding
- Cork: Triangular Corks in Spherical Barrels
- Curvature: Compound Curvature
- Geodesic
- Grid
- et Truss in Yale Art Gallery, Oct
- Probability Model of Three Cars on a Highway
- Spherical Barrel
- Tensegrity Geodesic Grid: Three-way Grid
- Transformational Projection
- Two-way Rectilinear Grid
- Spherical Grid
- Omnirational Control Matrix
- Dymaxion Airocean World Map
- Spherical Triangular Lattice

Three-way Great Circling Three-way Grid (2)
← Three-way Great Circling Three-way Grid (1) | Three-way Weaving vs. Two-way Crisscross (1) →
Cross Reference
Cross-References
- Fourth Dimension, 29 Nov'72
- General Case, 16 Feb'73
- Geodesic Dome, 12 Mar'74
- Geometry of Vectors, 15 Jun'74
- Gravity, (1)
- Nonpolar Points, 29 Nov'72*
- Normal to Universe, 10 Sep'74
- et Truss, Oct
- Powering: Second Powering, 21 Dec'71
- Probability, 17 Feb'72 (1)(2)
- Rhombic Dodecahedron, 30 Nov'72
- Sphericalahedron, Oct
- Sphericity of Whole Systems, 26 Sep'73
- Dymaxion Airocean World Map, (5)

Three-way Weaving vs. Two-way Crisscross (1)
← Three-way Great Circling Three-way Grid (2) | Three-way weaving vs. Two-way Crisscross (2) →
Index Entry
Three-way Weaving vs. Two-way Crisscross:
"If we take the demographic center of population of humanity which is situated somewhere between Iran and Kashmir, and lay out a clock-shaped, circular, azimuthal map of the world with that Iran-Kasmir locus as its center, the north pole at twelve o'clock and the south pole at six o'clock, we will discover that starting with Japan at three o'clock there is a coastal and island-studded maritime world including all the South Sea islands, and the coastal people of China and Indochina all the way south to and including Burma, within whose fanlike sweep we find all the bamboo basketry to be woven in a triangle-and-hexagon grid of three-way weaving, whereas all the rest of the world is found to be doing its weaving in a two-way crisscross grid.
"...In all the great temples and other edifices of Greece, Egypt, Mesopotamia, and Rome... the foundation lines inadvertently follow the curvature of the planet Earth. This is because... they thought of the world as a flat surface. They therefore assumed that all perpendiculars to the earth are parallel to one another and therefore assumed that the lines of their hanging plumb bobs were parallel to one another."

Three-way weaving vs. Two-way Crisscross (2)
← Three-way Weaving vs. Two-way Crisscross (1) | Three-way Weaving vs. Two-way Crisscross (3) →
Index Entry
"If we jump the Atlantic westward to the Mayan world of Central America... we will find that the foundation lines of their buildings are true horizontal surveyors' lines of sight. They do not follow the curvature of the Earth, which is so clearly to be seen when sighting with one's eye the horizontal step lines of the... Parthenon. If we go westward again across the Pacific... we find the foundations of the early temples in Thailand and Cambodia are curved ever so slightly upwards from their midpoints toward their ends. They follow the curvature of a ship's keel. They are similar to the Japanese shinto torii mounted atop two red columns.... They are the keel of a ship mounted as a beam atop the end columns. The latter are the same world's water people who use the three-way weave basketry.
"When we come to Crete's old palace at Knossos we find the sign of the king carved into the stone walls of his chambers. The king's sign is a hexagon consisting of six equilateral triangles surrounding a central point. Whereas in the household area of the palace the distaff symbol is carved into the walls; it is a square-enclosed cross. The water king's symbol"

Three-way Weaving vs. Two-way Crisscross (3)
← Three-way weaving vs. Two-way Crisscross (2) | Three-way Weaving →
Index Entry
Three-way Weaving vs. Two-way Crisscross:
"is that of the three-way oriental weaving while the distaff and peoples' area has the two-way weaving symbol. The great power of Crete was the power of the sailor. As with Venice, Crete had no need for fortifications because they had become so omnipowerful as to control all the seas around them."
- Cite RBF Foreword, "Great Architecture of the World," 13 Mar'75

Three-way Weaving
← Three-way Weaving vs. Two-way Crisscross (3) | Three: Threefoldness (1) →
Cross Reference
Cross-References

Three: Threefoldness (1)
← Three-way Weaving | Three: Threefoldness: Threeness (2) →
Cross Reference
Three-and-only
Triple
Trigom (Trimetric)
Cross-References
- Constant Relative Abundance
- Cube: Volume-3 Cube
- Eternal Pattern Integrity: Three & Five
- Interrelationships: Threeness, Fourness & Sixness
- Number: Cosmically Absolute Numbers
- Probability Model of Three Cars on a Highway
- Tripartite
- Vector: Threeness of the Vector

Three: Threefoldness: Threeness (2)
← Three: Threefoldness (1) | Threshold of Life →
Cross Reference
Cross-References
- A Priori Environment, May'72
- Axis of Spin, (4)
- Shape Awareness, 20 Feb'73
- System, 26 Dec'74 ; 27 May'72*
- Tetrahedron: Dissimilar Rate of Change Accommodation, 9 Nov'73
- Topology: Synergetics & Eulerian, (1)
- Triangle, 17 Feb'73*
- Universal Joint: Tetrahedron, 9 Nov'73
- General Systems Theory, (1)
- Module: A Quanta Module: Introduction Of, 22 Feb'77

Threshold of Life
← Three: Threefoldness: Threeness (2) | Threshold of Life →
Index Entry
"Virologists have been too busy, for instance with their DNA-RNA genetic code isolatings, to find time or to see the synergetic significance to society of the fact that they have found that no physical threshold does in fact exist between animate and inanimate." - Cite RBF Nehru Speech as rewritten for SYNERGETICS "Introduction," draft p.13, 25 Sep'72

Threshold of Life
← Threshold of Life | Threshold of Life (1) →
Index Entry
DNA "is the area where the chemistry could be called crystallography. It could be called metals or it could be called animate. You could call it animate or inanimate. It is the complete threshold of the two. Because it is the threshold people who like to be prosaic and like to make man feel so small can say everything is just going to turn out to be inanimate chemistry and you are all the consequence of probabilities and you might as well jump in the river. This area, then, of the threshold is where DNA is found and the controls of the patterning of life are down to four compounds of chemistry which somehow or other develop a code and out of this code these four letters are all the designs that occur."

Threshold of Life (1)
← Threshold of Life | Threshold of Life (2) →
Cross Reference
Threshold of Life:
Cross-References

Threshold of Life (2)
← Threshold of Life (1) | Threshold (1) →
Cross Reference
Cross-References
- Pattern Integrity, (1)

Threshold (1)
← Threshold of Life (2) | Threshold (2) →
Cross Reference
Cross-References

Threshold (2)
← Threshold (1) | Thrust-throw →
Cross Reference
Pronouns: I = We = Me, (1)
Cross-References
- Animate & Inanimate, 1971
- Polyhedra, 18 Jul'76

Thrust-throw
Cross Reference
Cross-References

Thymine
← Thrust-throw | Ticker-tape Instructions →
Cross Reference
Cross-References

Ticker-tape Instructions
Cross Reference
Ticker-tape Instructions:
Cross-References
- Chromosome, 19 Dec'71

Tic-tac-toe (1)
← Ticker-tape Instructions | Tic-tac-toe (2) →
Cross Reference
Cross-References

Tic-tac-toe (2)
Cross Reference
Cross-References
- General Systems Theory, 8 Nov'73

Tidal
Index Entry
Tidal:
"Since tension and compression always and only coexist with first one at high tide and the other at low tide, and then vice versa, the necklace tubes are rigid with compression at visible high tide and tension at invisible low tide; and each of the tension-connectors has compression at invisible low tide and tension at visible high tide; ergo, each triangle has both a positive and negative triangle congruently coexistent and each visible triangle is two triangles: one visible and one invisible."
- Citation & context at Necklace, (C), 9 Nov'73

Tidal
Index Entry
Tidal:
"Because of the tidal fluctuations of syntropy-entropy
Local environments are forever altering themselves."
-
Cite BRAIN AND MIND, p. 81, galley, 1971
-
Citation at Syntropy & Entropy, May'72

Tidal
Index Entry
Tidal:
"Entropy's behavior may be modernized to state
That every separately experienceable
And generalizably conceivable system in Universe
Is continually exporting energies
While also always importing energies
At a concurrently accelerating and decelerating
Variety of local system rates,
Which also means
That all systems are continually transforming
Internally as well as externally,
And because the periodicity of importing and exporting
Are both nonsimultaneous and unequal,
All the systems are tidally pulsative
At a variety of frequencies."
- Cite BRAIN & MIND, p.86 May '72

Tidal
Index Entry
By two visibly different experiments, One with rope and one with steel rods-- I have demonstrated experimentally That tension and compression Always and only coexist.
One can be at high tide of visibility, And the other coincidentally At low-tide visibility. These always and only coexisting variables, (Where one is at high tide While the other is at low tide), Are typical complementaries Which are not mirror-images Of one another but must always Complexedly balance one another in physical equations. Both demonstrate ninety-degree inadvertent resultants. This behavior is known as the Poisson Effect.

Tidal
Index Entry
Tidal:
"Strutted trusses are high-tide aspects of edges . . . solids are high-tide aspects. . . Spheres are high-tide aspects of vectors. . In your closest packing you have the spheres which are just the high-tide aspects . . . because the lines are now hidden between the points of tangency. It is very easy to be greatly misled when you see two spheres intangency. There is only one line between the two. This is where you see that unity is two because the line breaks itself into radii of the two spheres."
- Cite Rbf tape Blackstone Hotel, Chicago, 31 May '71, p. 37.
- UNIVERSAL DEGREES of FREEDOM - SEC \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-537.20537.20

Tidal
Index Entry
Tidal:
"Spheres are high tide aspects of vertexes. Solids are high tide aspects of faces. Spheres in closest packing are high tide aspects of vertexes."
- Cite RBF to EJA, Blackstone Hotel Chicago, 31 May 1971.

Tidal
Index Entry
Tidal:
"Tension and compression always operate at PREcession of
right angles to one another and we simply have one at
high tide and one at low tide of aspects of conceptuality."
-
Cite DesertionT Lab Lecture, p. 30, 15 Oct'64
-
Citation & context at Tension & Compression, 15 Oct'64

Tidal
Index Entry
Tidal:
"The question was: Could we get vastly strong, long members that had no section at all? I saw that was exactly what nature had done in her gravitational cohering relationship of the Earth and the Moon with a 320,000 mile tension 'member' of zero diameter. Twice daily we may witness this Moon-Earth tension as it gravitationally lifts Moonward billions of tons of the watery ocean film of Earth in what we call tides. 'Tides' means 'tension.' (As we tie a string we make a tension connection.) I saw that, in the tides and in gravity, nature had accomplished a truly invisible, formless, structural, tensional coherence. The question was: Could man begin to approximate the magnificent efficiencies and economies of these macro-micro tensional integrities of nature? And I discovered it was possible for man to do so."
- Cite Mexico '63, p. 30. 10 Oct'63

Tidal
Index Entry
Tidal:
"Tension and compression are in respect to one another like tides-- one is at high tide while the other is at low tide-- or you might say low tide of visible apprehendability. They are structly functions in regard to one another."
-
Cite Oregon Lecture #5 p. 157, 9 Jul'62
-
Citation & context at Function, 9 Jul'62
TENSION + COMPRESSION - SEC \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-641.02641.02

Tidal
Index Entry
Tidal:
"Tension and compression are inseparable and coordinate functions of structural systems, but one may be at high tide aspect, i.e., most prominent phase, while the other is at low tide, or least prominent aspect or phase, e.g., a visibly tensioned rope is compressively contracted in almost invisible increment of its girth dimensions everywhere along its length. This low-tide aspect of compression occurs in planes perpendicular to its compressed axis.
Columns which are visibly loaded only by weights applied to their respective top ends, are easily seen to have their vertical axis in compression, but invisibly the horizontal girths of these columns are also in tension as the result of a cigar-shaped swelling pattern of forces em acting in the column at right angle to its loaded axis, which tends invisibly to transform toward the shape of a squash or a banana. As a result of the visible, or high-tide, vertical compressing aspect of such axial loading of the column's system, this swelling force imperceptibly stretches, or tenses, the column's girth as a low-tide reciprocal function of the overall structural integrity reciprocity."
- Cite TENSEGRITY, Art News Annual, p. 119, Dec'61

Tidal
RBF Definitions
"All components of Universe are in continually accommodative, associative-disassociative motion reciprocity, and all the moving components of Universe continuously affect all the other moving components-- in varying degrees, ranging between high and low tide reciprocities of critically intense to critically negligible."

Tidal: Half Tide
Index Entry
Tidal: Half Tide:
"In the high and low tide cooperative precessional functionings of tension vs. compression I saw that there are times when each are at half tide, or equally prominent in their system relationships."
- Cite TENSEGRITY, Art News Annual, p. 120. Dec'61
TENSION + COMPRESSION - SEC \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-640.22640.22

Tidal Power (1)
← Tidal: Half Tide | Tidal Power (2) →
Cross Reference
Cross-References

Tidal Power (2)
Cross Reference
Cross-References
- Precession (b); (II), (II)

Tides
← Tidal Power (2) | Tidal (1) →
Index Entry
Tides:
"Tides are omnidirectionally convergent and divergent
... pulsations. Tides come IN and tides go OUT. They
come in to specific foci ... they go out omnidirectionally."
- Cite RBF toEJA, Beverly Hotel, New York, 19 June 1971.

Tidal (1)
Cross Reference
See Balancing of Highs & Lows
Highs & Lows: Exchange Of High Tide Aspects
Cross-References
- Balancing of Highs \& Lows
- Boltzmann Sequence
- Importings & Exportings
- Motion Reciprocity
- Pulsation
- Push-pull
- Syntropy & Entropy
- Wheel
- Wind Sucking Sequence

Tidal (2)
Cross Reference
Orbital Feedback Circuitry & Critical Path, 9 Sep'74
Cross-References
- Coherence, 10 Oct'63
- Function, 9 Jul'62*
- Motion, (2)
- Precession, (1)
- Solids, 31 May'71
- Tension & Compression, 15 Oct'64
- Truss, 31 May'71
- Orbital Feedbacks, 10 Sep'74
- Intuition, 1 Feb'75
- Naga, (3)
- Gravity, 11 Feb'76

Tie
← Tidal (2) | Tie Rods Iron Stars (1) →
Index Entry
'Tides' means 'tension. As we tie a string we make a
tension connection.
- Cite Mexico '63, p. 30.

Tie Rods Iron Stars (1)
Cross Reference
Cross-References
- Civil War, (1)

Tie Tying
← Tie Rods Iron Stars (1) | Tiger →
Cross Reference
Cross-References

Tiger
Cross Reference
Cross-References

Tightness
← Tiger | Tiles Mosaic Tiles (1) →
Cross Reference
Cross-References

Tiles Mosaic Tiles (1)
← Tightness | Tiles Mosaic Tiles (2) →
Cross Reference
Tiles: Mosaic Tiles:
Cross-References

Tiles Mosaic Tiles (2)
← Tiles Mosaic Tiles (1) | Timable →
Cross Reference
Cross-References

Timable
← Tiles Mosaic Tiles (2) | Time →
Cross Reference
Timable:
Cross-References
- Mass, 29 Dec'58

Time
Index Entry
Time:
"Asymmetry is a consequence of the phenomenon time and time a consequence of the phenomenon we call afterimage, or 'double take,' or reconsideration, with inherent lags of recallability rates in respect to various types of special-case experiences.
"Infrequently used names take longer to recall than do familiar actions. So the very consequence of only 'dawning' and evolving (never instantaneous) awareness is to impose the phenomenon time upon an otherwise timeless, ergo eternal Universe. Awareness itself is in all these asymmetries, amd the pulsations are all the consequences of just thought itself: the ability of Universe to consider itself, and to reconsider itself." - Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1031.161031.16, rewrite of 27 Dec'73 - Citation & context at Dynamic Symmetry, (3), 27 Dec'73

Time
Index Entry
Time:
"-- this moment's awareness is different from previous awareness;
-- differentiations of time are observed directionally;
-- directions introduce vectors (lines);
-- two time lines demonstrate the observer and the observed..."

Time
Index Entry
Time:
"Time is wavilinear...."

Time
Index Entry
"Because the Physical is time, the relative endurances of all special-case physical experiences are proportional to the synchronous periodicity of associability of the complex principles involved."
- Citation & context at Metaphysical Experience, 13 Mar'73

Time
RBF Definitions
"Gibbs brings in time. Time is tactile. Time is frequency. Our pulses measure its passing."
Citations
- SYNERGETICS draft At Sec. \href{https://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1054.54}{1054.54}, 6 Mar'73

Time (1)
Index Entry
Time:
"We had time all along. We just did not know how to bring it in. The Babylonians tried to do it with their degrees, minutes, and seconds. The metric system left time as an exponent. Time was not a unique dimension. It was a quality of observation, of obvious existence.
"Synergetics is the first to introduce the time dimension integrally as the frequency of the systems, which are metaphysically independent of time and size but, when physically realized, have both time and size which are identified in synergetics as the frequency of the system: the modular subdividing of the primitive, metaphysical, timeless system.
"You cannot have time without growtability which implicitly has a nucleus from which to grow. We would not have discovered the expansiveness-contractiveness and radiational gravitational behavior of nuclei in pure metaphysical sizeless and timeless principle.
"It follows that the isotropic vector matrix field discovery"

Time (2)
Index Entry
represents the frame of reference through which all the interpulsating transformations of time realizations transit, but which will never be directly witnessible in the eternally instant static state.
"Synergetics is an integration of the frequency of Gibbs with the timelessness of Euler. . . The thermal, acoustical, sensorial characteristics. . . are expressible only as frequency."

Time
Index Entry
Time:
"In time-vectorable Universe the maximal range of radiant-regenerative reachability in time is determined by the omnidirectional velocity of all radiation: c², i.e. (186,000)²."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-426.03426.03, 30 Nov'72

Time
Index Entry
While empty set numbers may be theorized as multipliable by themselves, so long as there is time to do so, all experimental demonstrability of science is inherently time limited. Time is the only dimension. It is expressable as frequency.
Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-960.03960.03
- Citation and context at Powering, 16 Nov'72

Time
Index Entry
Time:
"Edges can be any length permitted by time."
- Citation and context at Equiangularity, 25 Sep'72

Time
Index Entry
Time:
"The speed of light, at the limit case, becomes the time. The speedof radiation is the limit case, but it is the initial limit. It always comes back to itself."
-
Citation at Radiation: Speed Of, 22 Jun'72
-
Cite RBF to EJA, Beverly Hotel, NY, 22-Jun'72.

Time
Index Entry
Time:
"...Seconds to the second power. It is a time thing."
- Citation and context at Cube: Diagonal of Cube As Wave Propagation Model, 22 Jun'72

Time
Index Entry
Time:
"It is inherent in the mathematics of the degrees of freedom which demand the invention of time due to the varying rates of recall of observation of the behavior of the vectors."
- Citation and context at Twelve Universal Degrees of Freedom, 29 May'72

Time
RBF Definitions
"... Vectors, being the product of physical energy constituents, are 'real,' having velocity multiplied by mass operating in a specific direction; velocity being a product of time and size modules; and mass being a volume-weight relationship. On impact, mass at velocity transforms into heat and work. These energy factors can be translated not only into work, but into heat, or into time as well."
Citations
- SYNERGETICS, Sec. \href{https://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-410.05}{410.05}, 27/2 May'72

Time
Index Entry
Time:
"There really is an annihilation into eternity with no time and dimensioning-- these are only in our temporal relativity. Time is within our lags and our gestation rates and in the frequencies of the electromagnetic spectrum. But every time we have annihilation into eternity, it is not lost in principle; it is only lost in the relative inaccuracy which we must have to differentiate and to have awareness."
"Time gives specific size and symmetry due to inherent lags: the lags of realization!"

Time
Index Entry
Time:
"In the equanimity model the physical and the metaphysical share the same design. The whole of physical Universe experience is a consequence of our not seeing instantly, which introduces time. As a result of the recall lags the physical is always imperfect."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-443.04443.04, 26/3 May'72

Time
Index Entry
Time:
"Time, relativity and consciousness
Are always and only coexistent functions
Of an a priori Universe. .. "
- Citation and context at Second, p. 12, May '72

Time
Index Entry
Time:
"It takes time to go back from there to over here. So you invent time. The conceptuality of different degrees of apartness is fundamental to a plurality of degrees of freedom, which induces the real-ization of time."
- For citation and context see Timeless, 1 Apr '72

Time
Index Entry
Time:
"Time is in our dimensioning because our geometry is vectorial. Every vector = mass x velocity, and time is a function of velocity. The Euclid XYZ-coordinate geometry does not have time. Synergetics inherently has time; it deals with anything that exists."
- Cite RBF to EJA, 3200 Idaho, Washington DC, 21 Dec. '71.

Time
Index Entry
Time:
"Minimal consciousness evokes a nonsimultaneous sequence, ergo time. Time is not the fourth dimension and should not be so identified. Time is only a relative observation, a set of local sequences of experience= afterimage formulation lags of the brain. Time is not a function of space."
- Citation & context at Physical Tetrahedron vs. Conceptual Tetrahedron, Dec'71

Time
Index Entry
There is no dimension without time.

Time
Index Entry
Time:
"Gibbs accommodates the omnidirectional system
complementations of the other senses: thermal, tactile,
aural, and olfactory-- not just associatively, but
radiationally. Gibbs brings in time. Time is tactile.
Our pulses measure its passing."
- Cite Synergetics draft, sec-836., August 1971.

Time
Cross Reference
Time:
"The a priori otherness of comparative awareness inherently requires time. Early humanity's concept of the minimum increment of time was the second, because time and awareness begin with the second experience after the other."
- Cite RBF marginalis on Synergetics draft, Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-223.31223.31- 19 Jun '71.
Cross-References

Time
Index Entry
Time:
"Because we have relatively so little time, both on today's schedule and in the crisis of continued human occupancy of planet Earth. . . ."
- Cite Museums Keynote address Denver, p. 7. 2 Jun'71

Time
Index Entry
Time:
"It is a consequence of the phenomenon time and a consequence of the phenomena we call after-image, or thinking, or reconsideration, which has inherent lags of recallability of the various special case experiences. So the very consequence of awareness is to impose the phenomenon time upon an eternal Universe."
-
Cite RBF-tape-transcript, Blackstone Hotel, Chicago 31 May 1971, p. 49.
-
Citation & context at Thought, 31 May'71
TIME - SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-529.081529.081 compare \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1031.001031/6, 27 DEC. 73

Time
Index Entry
Time:
"Generalized principles are often called constants by the semantics of scientific specialization whose viewpoint is myopically inadequate. Constancy is a time concept. Time is relative and cyclically terminal. Time is energetic, physical-- is ever finitely evolving, which is the opposite of 'constant'."

Time
RBF Definitions
"Lags are intervals-- nothing. Instantaneity would eliminate otherness, time, and self-and-other-awareness. Instantaneity and eternality are both timeless: they are both the same. Eternity contains time; time does not contain eternity. The relationship is is irreversible. The contained time of eternity provides eternal awareness."
Citations
- SYNERGETICS Draft - "Conceptuality: Life"- RBF Marginalia, Somerset Club, Boston, 25 April, 1971 - Citation 7 context at Eternal & Temporal, 25 Apr'71

Time
Index Entry
Time:
"Because every action has both a reaction and a resultant every now must have a past and a dawning future."
-
Cite SYNERGETICS-Draft--"Conceptuality: Time" -- RBF marginalia added at Somerset Club, Boston, 25 April '71
-
Citation at Now, 25 Apr'71

Time
Index Entry
Time:
"Time is experience. Time can be expressed only in relative magnitude ratios of relevant experiences. Time can be defined only in the terms of relative frequency of occurrence of relative angular changes of the observer's environment, the relative frequency of the occurrence rate being referenced to any constantly recycling behavior of any chosen sub-system of universe. All experiential realizations are cocnceptually definable in degrees of angulation change and in relative frequency of occurrence rates in respect to the observer's optionally chosen axis of conceptuality and of his specifically identified time-recycling rate."
- Cite SYNERGETICS Draft - with new RBF marginalia added at Somerset Club, Boston, 25 April 1971 (Synergetics Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-529.01529.01)

Time
Index Entry
Time:
"Contemporary science as yet assumes that all local systems in physical universe are instantly and simultaneously affecting one another in widely ranging degrees of influence.
All the time phenomena of the physicists are expressed in linear data coordinates, but all cyclic actions are spirals because there are no straight lines and also because lines cannot 'go through' or 'return into' themselves. There can be no experientially demonstrable circles is continuous lines 'returning into' themselves. Lines cannot return into themselves. Because there are no planes, a wave is a spiral."
- Cite SYNERGETICS Draft - "Conceptuality:Time" with RBF marginalia added at Somerset Club, Boston, 25 April '71

Time
Index Entry
Time:
"The word locally means locally in time and space. By spacem we mean size-- a function of time."

Time
Index Entry
Time:
"What we call length is always measured in time."
- Cite RBF Lecture.
Town Hall New York
12 March 1971
- Citation at Length, 12 Mar'71

Time
Index Entry
Time:
"All the time phenomena of physicists are linear."
"All actions are spirals because they cannot go through themselves and because there is time. The remote aspect of a spiral is a wave because there are no planes."
- Cite RBF to EJA
Beverly Hotel, New York 8 March '71

Time
Index Entry
Time:
"Minimal consciousness
Evokes a non-simultaneous sequence,
Ergo, Time."
- RBF to EJA, Sarasota, Florida
7 February 1971

Time
Index Entry
Time:
"The future is not something linear. So we seem to be talking about a greater range of known cycling. . . . We're talking a complete 'now.' It really is a subjective 'now' and and objective 'now' and so forth, but it really is all 'now.'"
- Cite WATTS TAPE, p. 39,19 Oct'70

Time
Index Entry
Time:
"Time is not the fourth dimension and should not be so identified-- this was a misleading notion popularized when Einstein first became famous."
"Tentative is a time word which, with frequency of redefining gets more and more exact." (cf. Heisenberg.)
"Time element is the ability to phase properly. The thing being defined does not change."
Cite: Statements by RBF to EJA in 1970,

Time
Index Entry
Time:
"... How long the edges are can be determined only in the terms of the repetitive multiples of some given pattern experience. The given experience module has a fundamental time consideration. All experience of size refers to the duration of the of the pattern-describing events. And the observer's time sense refers to any of his own afterimage consideration of one of his integral recycling organs."
"A basic time cycle is a circle or a loop back."
- Citation and context at Size (1), circa 1970

Time
Index Entry
Time:
"Lines are finitely developed events.
And their durations
Are always relative
To some cyclic experience in Time."
- Citation and context at Radiation: Speed Of (D), 28 Jan'69

Time
Index Entry
Time:
"Size and time are synonymous."
- Cite GENERALIZED PRINCIPLES, p. 6 - 28 Jan. '69.

Time
Index Entry
Time:
"It is one of those strange facts of experience that when we try to think into the future, our thoughts jump backward. It may well be that nature has some fundamental law by which opening up what we call the future also automatically opens up the past in equal degree. Time is not linear, but probably consists of omnidirectional wave propagations."
- Cite GCJDESSES, Sat. Review, 2 Mar 68

Time
Index Entry
"Experimentally demonstrable cyclic regularities, such as frequencies of the occurrence of radiation emissions of various atomic isotopes, become the fundamental time increment references of relative size measurements of elemental phenomena." - Cite NASA Speech, p. 99, Jun'66

Time
RBF Definitions
"Distance is measured in time. Time increments are calculated in respect to a variety of cyclic regularities manifest in our environmental experiences."
Citations
- NASA Speech, p. 99, Jun'66

Time
Index Entry
Time:
"Time can be expressed only as 'relativity' in the terms of relative frequency of reoccurrence of any constantly recycling behavior of any chosen sub-system of universe."

Time
RBF Definitions
"The M majority of academic people are still thinking in terms of Newtonian (classical) science's 'instant universe.' While light's speed of 700 million miles an hour is very fast in realtion to automobiles it is very slow in relation to the 'no time at all' of society's (obscelete) instant universe thinking.
"It was part of the classical scientists' concept of instant universe that universe is a system in which all parts affect one another simultaneously, in varying degrees."
Citations
- NACA Speech, pp. 25,26

Time
Index Entry
Time:
"The measuring act always involves time increments of our totally available time of life and may be conceived of only in respect to local events in nonsimultaneous Universe, there being no overall 'largest' size to be referred to...
"Einstein was able to show that every individual's every time-employed yardstick of time, i.e., the cyclic increment of imaginary reference, is always unique and different from others, a difference that amplifies greatly as we enter into astronomical 'observing' by individual instruments whose progressively designed reductions of tolerated error is also always unique and only calculatable relative to each experience."
- Cite NASA Speech, p.102, Jun'66

Time
Index Entry
Time:
"Velocity is the complementarity of time and space. Time and space are simply functions of velocity. Velocity is really the reality. You can examine the time or the space increment, but they are never independent of one another. They are unified as velocity."
-
Cite Oregon Lecture #8, p. 298. 12 Jul'62
-
Citation and context at Velocity, 12 Jul'62

Time
Index Entry
Time:
"Newton had said that time was a very specific affair, assuming that there was a specific and finite time that permeated the universe-- and that everything occurred at the same time. . . It was Einstein who felt that time might be relative to the individual observer."
- Cite OREGON Lecture #2, - p. 71, 2 Jul'62

Time
Index Entry
Time:
"A wide range of time investment magnitudes must be assigned ___ to the respective considerations of the multitude of different constellar, experience-pattern comprehensions."
- Cite OMNIDIRECTIONAL HALO, p. 132, 1960

Time
Index Entry
Time:
"The emergence of the time concept as something more specific than the vague thing which a clock ticks away, a concept in which time is as essential a component or unit of the physical world as is oxygen, came with the advent of the cipher, the enabling instrument of time's calculatability."
- Cite NONE CHAINS TO THE MOON, p.143, 1938

Time
← Time | Time-angle-size Aspects →
Index Entry
One more scientific factor entered the scene during the zero hour of the Mediterranean philosophers' streamlining. That was the concept of time as a segregated philosophic entity. We have already seen what an important factor time is in Einstein's formula, where rate of energy combines time, as pure abstract, with space, as pure matter. TIME entered the picture through poetry. Many, if not most, of the important scientific events that have occurred have appeared first in fun and play, as for instance the suspension bridge which appeared first as a Chinese tight-rope-walker's frame. Funambulist = rope = walker; funis = rope; ambulare = walk. "Fun" -- "rope" -- Will Rogers -- line -- tension -- the 'fun' of life.

Time-angle-size Aspects
← Time | Time-angle-size Aspects →
Index Entry
Time-angle-size Aspects:
"...Comprehensively concerned children can learn how to avoid the miscarriages of misconceptioning as induced by too brief reviews of their progressive experiences as observed from too few viewpoint loci. They can learn--as did Einstein--of the plurality of different, instrumentally-measured, time-angle-and-size aspects of the same phenomena as viewed from different given environmental surrounding points by different observers at as close to the 'same' time as possible, taken at 'almost the same time' as well as at distinctly different times. The foregoing is what led Einstein to the discovery of relativity."

Time-angle-size Aspects
← Time-angle-size Aspects | Time Cancellation →
Cross Reference
Orientation
Cross-References

Time Cancellation
← Time-angle-size Aspects | Time Center →
Index Entry
Time Cancellation:
"Comprehensive universe is amorphous and only locally finite as it transformingly differentiates into serially conceptual pattern integrities, some much larger than humanly apprehendible, some much smaller than humanly apprehendible, ever occurring in nonsimultaneous sets of human observings, time-cancelling, harmonically integrative synchronizations are supra or sub human sensibility and longevity experienciability whose periodicities are therefore so preponderantly unexpected as to induce human reactions of o'erwhelming disorder, so that . . . suddenly around comes the comet again for the first known time in humanly recorded experience, periodically closing the gap and periodically pulsing through eternally normal zero."
-
Cite RBF amplification to EJA on citation re Comet in Oregon Lecture #2, p. 158. Now in SYNERGETICS draft \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-614.00614, "Tension and Compression." 19 Jul'73
-
Citation at Comet: Around Comes the Comet, etc., 19 Jun'71

Time Center
← Time Cancellation | Time & Cognition →
Index Entry
Time Center:
"The 20 F³ is the total Universe momentarily all at one time center."
- Citation and context at Nothingness, 16 Nov'72

Time & Cognition
← Time Center | Time & Consciousness →
Index Entry
Time & Cognition:
"The sense-coordinating brain of each and all humans, like sound or light, has a limit speed of apprehending. There is no instant cerebral cognition. The apprehension lags automatically impose off-center human cognition which occasions the sense of time in a timeless eternity. The sense of time occasions the conception of life and serial experience. The inherently invisible vector equilibrium self-started life and ever regenerates life. Inherent in the lags is our intimate knowledge only of self."
- Citation & context at Vector Equilibrium as Starting Point, (2)
11 Sep'75

Time & Consciousness
← Time & Cognition | Time vs. Constant →
Cross Reference
Cross-References

Time vs. Constant
← Time & Consciousness | Time Differentiable →
RBF Definitions
"Time is energetic, physical-- is ever finitely evolving, which is the opposite of 'constant'."
- Citation & context at Constants, 28 Apr'71

Time Differentiable
← Time vs. Constant | Time & Energy →
Cross Reference
Time Differentiable: See Conceptual System, 27 May'75
Cross-References
- Conceptual System, 27 May'75

Time & Energy
← Time Differentiable | Time & Energy →
Index Entry
The phenomenon of time entering into energy is just a metaphysical concept. It explains our slowness and our limitations. Temporality is time and the relative asymmetries of oscillation are realizable only in time--in the time required for pulsative frequency cycling. Synergetics correlates verities of time and eternity.
(Later context at Vector Equilibrium; Field of Energy (C))

Time & Energy
← Time & Energy | Time vs. Energy →
Index Entry
"Finally man has accumulated sufficient knowledge of certain proportions of time and energy and of their respective special relationship behavior to selectively segregate and reassemble those constituents for himself."
- Cite MACHINE TOOLS, p.41, Dec'40

Time vs. Energy
← Time & Energy | Time vs. Energy →
Index Entry
Time vs. Energy:
"When the Almighty
happened to bemuse his wisdom
with playing shoot-the-works,
he opened with one hand the hot valve
of absolute energy
and with the other
the cold valve
of absolute time."
- Cite NO MORE SECONDHAND GOD, "Machine Tools," p.37; Dec'40

Time vs. Energy
← Time vs. Energy | Time-energy Economics →
Cross Reference
Time vs. Energy:
Cross-References
- Friction, 9 Apr'40
- Eternity vs Energy, 2 May'78

Time-energy Economics
← Time vs. Energy | Time-energy Economics →
Index Entry
Time-energy Economics:
"I work on metabolics, the distribution of energy processes. We have internal metabolics and we have externally regenerative Universe; we have big and little, different kinds of creatures in energy magnitudes. So what we are really studying in economics are these energy exchanges and times and cessation rates.
"So there really is a logical accounting system. It was very logical to have agriculture paced to the annual system when you could only last 30 days without food or you were going to starve; and so the fiscal year was an annual year. But when we get into an industrial system it's quite different; but they proceeded to try to encompass the whole industrial pattern into a completely inappropriate agricultural pattern.
"The point is that from the very beginning I've been working on time-energy economics. Time-energy economics is called cosmic accounting. It views the total system in interaction with the celestial system. Where is our energy income? Where is our energy? What is our inventory? What is the planetary inventory? The biosphere inventory? There is a point at which there is just so much and you're not going to get any more."

Time-energy Economics
← Time-energy Economics | Time-energy Involvement →
Cross Reference
Cross-References

Time-energy Involvement
← Time-energy Economics | Time & Energy →
Index Entry
Time-energy Involvement:
"Geodesic lines are the most economical (meaning least time-energy involvement) relationship between any two events."
- Citation & context at Geodesic Line, 9 Sep'74

Time & Energy
← Time-energy Involvement | Time & Energy (2) →
Cross Reference
Cross-References
- Consciousness as Synchronization of Time & Energy
- Time-energy Economics
- Time-energy Involvement
- Time vs. Energy
- Energetic Information

Time & Energy (2)
← Time & Energy | Time Equanimity →
Cross Reference
Cross-References
- Geodesic
- Mind, (3)
- Self-now
- Short Cuts
- Space
- Time
- Time Vector
- Friction
- Energy Involvement of 92 Elements

Time Equanimity
← Time & Energy (2) | Time & Fourth Dimension →
RBF Definitions
"Synergetics inherently has time equanimity: it deals with anything that exists always in 1 x 1 time coordination."
(Context at Time-size, 20 Dec'73)
Citations
- SYNERGETICS draft at Sec. \href{https://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-962.43}{962.43}, 17 Nov'72

Time & Fourth Dimension
← Time Equanimity | Time is Not the Fourth Dimension →
Index Entry
Time Is Not the Fourth Dimension

Time is Not the Fourth Dimension
← Time & Fourth Dimension | Time is Not the Fourth Dimension →
Index Entry
Time is Not the Fourth Dimension:
"Time is in our dimensioning because our geometry is vectorial. Every vector = mass x velocity and time is a function of velocity. . . Time and heat and longevity and weight are inherent in every dimension. Ergo, time is no more the fourth dimension than it is the first, second, or third dimensions. No time: No dimension. . . It was the failure of the exclusiev (sic) three-dimensionality of the XYZ interperpendicular coordination that gave rise to the concept that the fourth dimension must be a mysterious state which might be spoken of casually as a 'time dimension,' because the XYZ coordinates in themselves, as heretofore adopted by man, has seeming validity only in its linear and spatial characteristics independent of time and physical reality."
- Cite RBF to EJA, 3200 Idaho, Washington DC, 21 Dec. '71.
(Partially cited at Vector Equilibrium, 21 Dec '71
MODELABILITY - SEC \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-966.16966.16)

Time is Not the Fourth Dimension
← Time is Not the Fourth Dimension | Time is Not the Fourth Dimension →
Index Entry
Time is Not the Fourth Dimension:
Synergetics : Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-962.40962.40
Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-966.00966.00

Time is Not the Fourth Dimension
← Time is Not the Fourth Dimension | Time: If There is Time →
Cross Reference
Cross-References
- Time, Dec'71
- Vector Equilibrium, 21 Dec'71*
- Six Motion Freedoms & Degrees of Freedom

Time: If There is Time
← Time is Not the Fourth Dimension | Time: If There is Time (1) →
Text Citations
TEXT CITATIONS
Time: If There is Time:
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-961.45961.45
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1100-triangular-geodesics#section-1106.301106.30

Time: If There is Time (1)
← Time: If There is Time | Time: If There is Time (2) →
Cross Reference
Cross-References

Time: If There is Time (2)
← Time: If There is Time (1) | Time Incrementation →
Cross Reference
Cross-References
- A & B Quanta Modules, 20 Dec'73
- Time, 16 Nov'72

Time Incrementation
← Time: If There is Time (2) | Time Increment →
Index Entry
Time Incrementation:
"Time incrementation is special case information."
- Citation & context at Energy & Information, 27 Dec'74

Time Increment
← Time Incrementation | Time as an Invention →
Cross Reference
Cross-References
- Heartbeat, 13 Mar'73
- Packaged, 1969
- Time & Size, Nov'71

Time as an Invention
Cross Reference
Cross-References
- Individual Universes, (2)
- Timeless, 1 Apr'72
- Twelve Universal Degrees of Freedom, 29 May'72

Time Lag
← Time as an Invention | Time-limited (1) →
Cross Reference
Cross-References

Time-limited (1)
← Time Lag | Time-limited (2) →
Cross Reference
Cross-References

Time-limited (2)
← Time-limited (1) | Time is Only Now →
Cross Reference
Time, 16 Nov'72
Cross-References
- Generalized Principle (A), 16 Nov'72

Time is Only Now
← Time-limited (2) | Time Perspective →
Index Entry
Time is Only Now:
"Time is only now. Time and size are always special case asymmetric episodes of now whose systemic aberrations are referenced to the cosmic hierarchy of primitive and symmetrical geometries through which they pulsate actively and passively but at which they never stop. The rest of Scenario Universe is shapeless: untuned-in."
- Citation & context at Scenario Universe, 19 Jul'76

Time Perspective
← Time is Only Now | Time Entered the Picture through Poetry →
Cross Reference
Cross-References
- Intellectual Perspective, 20 Dec'74

Time Entered the Picture through Poetry
← Time Perspective | Time Quality →
Cross Reference
Cross-References
- Time, 1938

Time Quality
← Time Entered the Picture through Poetry | Time: Separating Time Out of the System →
Index Entry
Time Quality:
"At the end of a piece of rope we make a metaphysical disconnect and a new set of observations are inaugurated, each consisting of finite quanta integral ingredients such as the time quality of all finite-energy quanta."
-
Citation at Metaphysical Disconnect, 19 Jun'71
-
Cite RBF marginalia on infinity entry from HOW LITTLE. Confirmed and expanded, Beverly Hotel, N.Y., 19 June 1971.

Time: Separating Time Out of the System
Cross Reference
Cross-References
- Geometry of Vectors, Aug'71

Time-size
← Time: Separating Time Out of the System | Time-size →
Index Entry
Time-size:
"Time is size and size is time. Time is the only dimension. In synergetics time-size is expressible as frequency.
"Recalling our discovery that angles, tetrahedra, and topological characteristics are system constants independent of size, the limit of experimentally demonstrable powering involves a constant vector equilibrium and an isotropic vector matrix whose omnisymmetrically interparalleled planes and electable omniuniform frequency reoccurrences accommodate in time-sizing everywhere and anywhere regenerative (symmetrically indestruct, tetrahedral, four-dimensional, zerophase, i.e., the vector equilibrium) rebirths of a constant, unit-angle, structural system of convergent gravitation and divergent radiation resonatability, whose developed frequencies are the specific, special-case, time-size dimensionings."

Time-size
Index Entry
No time: No dimension. Time is dimension.
"Time is in synergetic dimensioning because our geometry is vectorial. Every vector = mass x velocity, and time is a function of velocity. The velocity can be inward, outward, or around, and the arounding will always be chordal and exactly equated with the inwardness and outwardness time expendabilities.
"The Euclidian-derived XYZ coordinate geometry cannot express time equi-economically around, but only time in and time out. Synergetics inherently has time equanimity: it deals with anything that exists always in 1 x 1 time coordination."

Time-Size
Index Entry
Time-Size:
"Special case always has frequency and size-time."
- Citation at Special Case, 17 Feb'73

Time-Size
Index Entry
Angles are eternally transcendental to time-size limits. The angle is a subdivision of one cycle quite independent of the length size (time) of the angle-defining radii edges of the angle. One-sixth of unity: the circle is one-sixth independent of time and size.

Time-Sizing
Index Entry
"Multiplying wavelength by frequency equals the speed of light. We have two experimentally demonstrable radiational variables. We have to do whatever we do against time. Whatever we may be, each we has only so much commonly experienciable time in scenario Universe within which to articulate thus and so. Thereforethe vector equilibrium's radiant or gravitational "realizations" are always inherently geared or tuned-in with the fundamental time-sizing of ≈186,000mps., which unique time-size-length increments of available time can be divided into any desirable frequency. One second is a desirable, commonly experienciable, increment to use and within each unit of it we can reach ≈186,000 miles in any nonfrequency-interfered-with direction."

Time-size
Index Entry
Time and Dimension: Synergetic geometry embraces all the qualities of experience, all aspects of being. Measurements of width, breadth, and height are awkward, inadequate descriptions that are only parts of the picture. Without weight, you do not exist physically; nor do you exist without a specific temperature. You can convert the velocity-times-mass into heat. Vectors are not abstractions, they are resolutions. Time and heat and length and weight are inherent in every dimension. Ergo time is no more the fourth dimension than it is the first, second, or third dimension.

Time & Size
← Time-size | Time-size Cyclic Moduleq →
Index Entry
Time & Size:
"Distance is measured in time. Time increments are calculated in respect to a variety of cyclic regularities manifest in our environmental experiences. Experimentally demonstrable cyclic regularities, such as the frequencies of the reoccurrence of radiation emissions of various atomic isotopes, becomes the fundamental time-increment references of relative size measurement of elemental phenomena."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-529.02529.02; Nov'71

Time-size Cyclic Moduleq
← Time & Size | Time-size Cyclic Modules →
Index Entry
We may think independently of size in respect to tetrahedra, which consist of 12 separate angles. Triangles and tetrahedra and all varieties of polyhedra are thinkable independently of size. The cyclic-module measurement of the time of experiencing or generating the length of the edge of any triangulated special-case system can represent the basic 'standard' of relative size-comparisoning to other object experiences. Each cyclic 'sizing' increment is one unit of frequency and each cyclic increment inherently constitutes one unit of experienced physical energy.
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-515.11515.11, draft of Jul'71

Time-size Cyclic Modules
← Time-size Cyclic Moduleq | Time-size Limits →
Cross Reference
Cross-References
- In, Out & Around, Nov'71

Time-size Limits
← Time-size Cyclic Modules | Time-size (1) →
Cross Reference
Cross-References

Time-size (1)
← Time-size Limits | Time-size (2) →
Cross Reference
See Conceptuality Independent of Time & Size
Cross-References
- Conceptuality Independent of Time \& Size
- Tunability
- Time-angle-size Aspects
- Relative Volumetric Frequency & Interval

Time-size (2)
← Time-size (1) | Time Somethingness →
Cross Reference
Cross-References
- Frequency, 15 Oct'72
- Generalization, 17 Feb'73
- Special Case, 17 Feb'73*
- Tetrahedron as Conceptual Model, 28 Jan'73
- Topology: Synergetics & Eulerian, 16 Nov'74
- Six Motion Freedoms & Degrees of Freedom
- Sphere, 8 Aug'77

Time Somethingness
← Time-size (2) | Time & Space →
Cross Reference
Time Somethingness:
Cross-References

Time & Space
← Time Somethingness | Time & Space →
Index Entry
Time and space are simply functions of velocity. You can examine the time increment or the space increment separately, but they are never independent of one another.

Time & Space
← Time & Space | Time & Space →
Index Entry
Time is only a relative observation--
A set of local sequence of experiences--
Not a function of space.
We can discuss time
As if there were no time.

Time & Space
← Time & Space | Time & Space (1) →
Index Entry
Time & Space:
"Velocity is the complementarity of time and space. Time and space are simply functions of velocity. Velocity is really the reality. You can examine the time or the space increment, but they are never independent of one another. They are unified as velocity."
- Citation & context at Velocity, 12 Jul'62

Time & Space (1)
← Time & Space | Time & Space →
Index Entry
Time & Space:
"...Rate being the inseparable relationship of time and space."
- Citation & context at Conscious World, 1938

Time & Space
← Time & Space (1) | Time-space (1) →
Index Entry
Time & Space:
"We have time Relationships but not static space relationships."
- Citation & context at Space, May'71

Time-space (1)
← Time & Space | Time & Space Time-space (2) →
Cross Reference
Zero-time-space Size
Cross-References

Time & Space Time-space (2)
← Time-space (1) | Time or Timeless Center →
Cross Reference
Cross-References
- Conscious World, 1938
- Frequency, 16 Feb'73
- Irreversibility: Principle Of, Apr'71
- Limit Case: Closest-packed Symmetry, 17 Feb'73
- Nucleus = Nine = Nothing, 18 Feb'73
- Rate, 1938
- Space, May'71*
- Velocity, 12 Jul'62*
- Halo, 1938
- Time, Dec'71

Time or Timeless Center
← Time & Space Time-space (2) | Time or Timeless →
Index Entry
The 20 P³ is the total Universe momentarily all at one time or timeless center.
- Cite Time Center, 16 Nov'72 as rewritten by RBF 26 Nov'72

Time or Timeless
← Time or Timeless Center | Time Vector →
Cross Reference
Cross-References
- Apprehension Lags, 11 Sep'75
- Physical Tetrahedron vs. Conceptual Tetrahedron, Dec'71

Time Vector
← Time or Timeless | Time-vectorable Universes →
Index Entry
Time Vector:
"The only difference between experience and nonexperience is time. The time factor is always radial, outwardly, inwardly, and chordally around; always accounted only in most economical to self-experience, energy-time relationship (i.e., geodesic) units. The vector is time-energy incrementation, embracing both velocity and relative mass, as well as the observer's angulation of observation-- strictly determined in relation to the observer's head-to-toe axis and time, relative, for instance, to heartbeat and diurnal cyclic experience frequencies."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-540.08540.08, 24 Sep'73

Time-vectorable Universes
Cross Reference
Cross-References
- Time, 30 Nov'72

Time Word
← Time-vectorable Universes | Time (1) →
Cross Reference
Cross-References

Time (1)
Cross Reference
Absolute Time
Available Time
Clock: Timekeeping
Cold Valve of Absolute Time
Conceptuality Independent of Size & Time
Contained Time
Cosmic Time
Distance
Doppler Effect
Energy-time Relationships
Eternal Instantaneity
Eternal Slowdown
Conceptual Genesis
Eternity
Experience: Cell-time-man-experienced Events
Future
Intellect Seconds
Life-in-time
Life as Synchronization of Time & Consciousness
Independence of Size & Time
Cross-References

Time (1B)
Cross Reference
Time: See Natural Time Increment
Prettime
Cross-References
- Natural Time Increment
- Nonsimultaneous
- Now
- No Time
- Perception
- Realization Lag
- Relativity
- Scenario
- Second
- Spending
- Timeless
- Temporality
- Transient
- Vitalistics
- Unwinding Time
- Geometry of Vectors
- Syntropy & Time
- Subtime
- Eternal & Temporal
- No Absolute Time

Time (2A)
Cross Reference
Cross-References
- Awareness, 10 Feb'73
- Change, 15 Sep'71
- Comet: Around Comes the Comet Again, 19 Jun'71*
- Cube: Diagonal of Cube as Wave Propagation Model, 22 Jun'72*
- Critical Proximity, 15 Feb'73
- Cyclic Unity, Jun'66
- Dimension, 16 Nov'72; 11 Oct'71*
- Dimensional Growth, 20 Dec'73
- Equiangularity, 25 Sep'72*
- Eternity, (1)
- Generalized Boat, May'72
- Geometry of Thinking, 16 Dec'73*
- Isotropic Vector Matrix, 6 Mar'73
- Length, 12 Mar'71*
- Local, 22 Apr'71*
- Metaphysical Experience, 13 Mar'73*
- Metaphysical Disconnect, 19 Jun'71*
- Nothingness, 16 Nov'72*
- Now, 7 Nov'73; 25 Apr'71*

Time (2B)
Cross Reference
Cross-References
- Physical Is Always the Imperfect, 14 Feb'72
- Powering, 16 Nov'72
- Radiation: Speed Of, 22 Jun'72
- Resultant, 22 Jul'71
- Second, May'72*
- Self-now, 1938
- System, 1954
- Size, (1)
- Tetrahedron: Coordinate Symmetry, Nov'71
- Twelve Universal Degrees of Freedom, 29 May'72*
- Thought, 31 May'71*
- Universe, May'72
- Velocity, 12 Jul'62*
- Geometry of Vectors, 27 Jan'75
- Modelability, 12 May'75
- Physical Tetrahedron vs. Conceptual Tetrahedron, Dec'71*
- Modules: A & B Quanta Modules, 20 Dec'73
- Frequency & Wave, 19 Dec'74
- Quantum Mechanics: Minimum Geometrical Fourness, (1)

Time
Cross Reference
Time-somethingness
Cross-References
- Timable
- Time Cancellation
- Time Center
- Time or Timeless Center
- Time & Energy
- Time Is Not the Fourth Dimension
- Time as an Invention
- Time Equanimity
- Time Lag
- Time-limited
- Time Quality
- Time-size
- Time-size Limits
- Time-space
- Time:arating Time Out of the System, Sep
- Time Vector
- Time Word
- Time vs. Constant
- Time Entered the Picture through Poetry

Time (2B)
Cross Reference
Time: If it Exists
Cross-References
- Time Perspective
- Time & Consciousness
- Time Differentiable
- Time & Cognition
- Time is Only Now
- Time-angle-size Aspects

Timeless
Index Entry
The consequence... of awareness is to impose the phenomenon time upon an otherwise timeless, ergo eternal, Universe.

Timeless
Index Entry
Timeless:
"The timeless and the changeless are intercomplementary aspects of ideal synergetics.
"There is conceptual insideness and outsideness, yet timeless and sizeless. Like the concept of God as mind. There are conceptual integrities which are inherently differentiable, ergo, inherently realizable as something we call life. The ideal eternal conceptuality which we are discovering in synergetics is so true as to become real because part of the conceptuality is the lags which bring in the six degrees of freedom. It takes time to go back from there to over here. So you invent time. The conceptuality of different degrees of apartness is fundamental to a plurality of degrees of freedom, which induces the real-ization of time."
- Cite RBF to EJA, Kennedy Airport, N.Y. 1 Apr '72, in response to query re difference between 'timeless' and 'changeless.'

Timeless
Index Entry
Timeless:
"We can discuss time as if there were no time. It exists in weightless, metaphysical conceptuality. There is a metaphysical- al timeless time, just as there is a difference between physical tetrahedron and metaphysically conceptual but weightless, substanceless tetrahedron. Instantaneity would eliminate otherness, time, and self-and-other-awareness. Instantaneity and eternity are both timeless: they are the same."
- Citation & context at Physical Tetrahedron vs. Conceptual Tetrahedron, Dec'71

Timeless
Index Entry
Timeless:
"Euclid's cubic block had been fashioned by him without a time dimension; therefore it could never exist in the reality of physical time.
"It exists in weightless metaphysical conceptuality. There is a metaphysical timeless time-- just as there is a difference between physical tetrahedron and metaphysical tetrahedron."
(RBF rewrite of Timeless, 1946)
- Cite RBF to Eja, 3200 Idaho, Wash DC, Nov'71

Timeless
Index Entry
Timeless:
"... Only the dividers are used. You start with two events-- any distance apart: Only one module with no subdivisions. Ergo, timeless. Ergo Eternal. Ergo, no frequency. Playing the game in a timeless manner. You have to have division of the line to have frequency, ergo to have time."
-
Cite RBF to EJA, Beverly Hotel, New York, 12 Sep. '71.
-
Citation & context at Bow Tie: Genesis Of, 12 Sep '71

Timeless
Index Entry
Timeless:
"Instead of omnidirectional, say timeless."
- Cite RBF to EJA, Beverly Hotel, New York, 19 June'71

Timeless
Index Entry
Timeless:
"For 'eternal,' use timeless."
- Cite RBF to EJA, Beverly Hotel, New York, 19 June 1971.

Timeless
Index Entry
Timeless:
"The vector equilibrium is absolutely dead center of Universe and will never be seen by man in any physical experience-- yet it is the frame of reference. And it is not in rotation and it is sizeless and timeless."
-
Citation at Vector Equilibrium, 1 May'71
-
Cite tape transcript RBF to BGK, Carbondale Dome, @ 1 May 1971. p. 39.

Timeless
Index Entry
Timeless:
"Instantaneity and eternal are both timeless; they are the same."
- Citation and context at Life, 13 Mar'71

Timeless
Index Entry
Timeless:
"Tension is shown experientially to be nondimensional, omnipresent, finitely accountable, continuous, comprehensive, ergo timeless, ergo eternal."
-
Cite RBF SYNERGETICS draft, 'Tension and Compression,' revision of Oregon Lecture #5, pp. 157-158. 7 Jul'62
-
Citation at Timeless, 9 Jul'62

Timeless
Index Entry
Timeless:
"Euclid's cubic block had been fashioned by him without a time dimension; therefore it could never exist in the reality of physical time."
- Cite RBF to EJA, Wichita, Kansas, 1946

Timelessness
Index Entry
Timelessness:
"Instantaneity would eliminate otherness, time, and self-and-other-awareness. Instantaneity and eternal are both timeless: they are the same."
- Cite RBF to EJA
Beverly Hotel, New York
13 March 1971

Timeless (1)
← Timelessness | Timeless (2) →
Cross Reference
No-time: No Time at All
Cross-References
- Changeless
- Eternal
- Eternal & Temporal
- Independence of Size & Time
- Prime
- Subfrequency
- Time or Timeless Center
- Subtime

Timeless (2)
← Timeless (1) | Tin Tin Cans →
Cross Reference
Generalization & Special Cases, 23 Jan'77
Cross-References
- Bow Ties: Genesis Of, 12 Sep'71*
- Geometry of Vectors, Aug'71
- Instant Universe, (2)
- Life, 13 Mar'71*
- Prime, 18 Dec'74
- Rubber Glove, 23 May'72
- Statistics, 1938
- Time, 27 Dec'73*
- Time & Space, 7 Feb'71
- Vector Equilibrium, 1 May'72; 1 May'71*
- Physical Tetrahedron vs. Conceptual Tetrahedron, Dec'71*
- Nuclear Cube, 11 Dec'75; 23 Feb'76
- Cosmic Hierarchy, 23 Jan'77
- Six Motion Freedoms & Degrees of Freedom
- Eternal & Temporal, 4 Sep'77

Tin Tin Cans
← Timeless (2) | Tissue Cells (1) →
Cross Reference
Cross-References
- Metals: Recirculation Of, (a)
- Building Business, (2)
- Human Unsettlement, (1)

Tissue Cells (1)
← Tin Tin Cans | Tissue Cells →
Cross Reference
Cross-References

Tissue Cells
Cross Reference
Cross-References
- Synergy: Degrees Of, (4)

Title
Cross Reference
Untitled
Cross-References
- Named

Today
← Title | Toenail in No Way Predicts Humans →
Cross Reference
Cross-References
- Star Events, Mar'71

Toenail in No Way Predicts Humans
Cross Reference
Cross-References
- Synergy of Synergies, May'72

To & Pro-ing (1)
← Toenail in No Way Predicts Humans | To & Fro-ing (2) →
Cross Reference
Cross-References

To & Fro-ing (2)
← To & Pro-ing (1) | Together →
Cross Reference
Cross-References

Together
Cross Reference
Cross-References

Toilet
Index Entry
Toilet:
"In the kitchen-bathing dome... they had a toilet which converted human waste into high-grade fertilizer. The heat necessary for this odorless process was provided alternately by electricity from the windmill hookup or by heat from the solar panel water-heating device. The toilet system produced fertilizer as a rich, dry, manured, loam-like substance which needed to be taken out of the system only once a year."
_Citation & context at Now House, (4); 20 Sep'76

Toilet
RBF Definitions
"And I'm also carrying a number of other developments, for instance, a waterless toilet, just a packaging machine. Nothing has been really bringing about more contamination for human beings than the splashing of toilets and wet plumbing. And this is very valuable chemistry. We are using 50 volumes of water to get rid of one volume of human waste. Just think of it. And it isn't waste at all! And we take all that beautiful rain coming down the mountainside, and take 50 volumes of water just to carry off that waste and mix it up with the other water! ... When we really need it separated as very valuable chemistry, both fertilizer-wise and as actual energy content-- high methane."
Citations
- RBF at DSI Press Conference, NYC, p. 13, 28 Jun'72

Toilet
Cross Reference
Need to go to the Toilet:
Cross-References
- Life & Death, (2)

Toilet Paper
Cross Reference
Toilet Paper:
Cross-References
- Excrement: Human Excrement, Dec'70

Toilets (1)
← Toilet Paper | Toilets (2) →
Cross Reference
Cross-References

Toilets (2)
Cross Reference
Cross-References
- Water, 31 Jan'75
- Now House, (4)
- No Energy Crisis, (1)

Tolerance
← Toilets (2) | Tolerance Sequence →
Index Entry
Measurement Tolerance:
"Mechanics introduced the word tolerance, not the scientists. The measuring of the mechanics, i.e., the engineers, was far more accurate."
- Cite RBF to EJA, Royal Scots Restaurant, N.Y. 14 Sept. 1971.

Tolerance Sequence
Index Entry
Tolerance Sequence:
"We've discovered that while you can't be exact, you can progressively reduce error, and that's exactly what mechanica and technology are doing. As we went, for instance, from building a man's house, where an eighth of an inch is a close enough tolerance to make the house stand up, to a hundredth or a thousandth of an inch automobile tolerances; and you couldn't fly unless you held the tolerances finer--to ten thousandths of an inch. Then in rocketry we're getting into millionths of an inch, which is all that we'll allow for error. The space program has a fantastic record so far of not having lost a single man in space-- coming out of the extraordinary reduction of tolerance of error. I find that what we will tolerate in the way of error is very important in the hierarchy of events."
- Cite RBF to World Game at NY Studio school, 12 Jun-31 Jul'69, Saturn Film Tape #327, p.1.

Tolerance (1)
← Tolerance Sequence | Tolerance (2) →
Cross Reference
Johansen Guages
Cross-References
- Approximateness
- Heisenberg
- Indeterminate
- Error
- Spontaneous Tolerance
- Uncertainty Principle
- Human Tolerance Limits

Tolerance (2)
← Tolerance (1) | Tollgate Private Tollgate for Society (1) →
Cross Reference
Tolerance:
Cross-References
- Observing vs. Articulating, Mar'72 (2)
- Wisdom, Jan'72

Tollgate Private Tollgate for Society (1)
← Tolerance (2) | Tollgate Private Tollgate for Society (2) →
Cross Reference
Cross-References

Tollgate Private Tollgate for Society (2)
← Tollgate Private Tollgate for Society (1) | Tomato →
Cross Reference
Cross-References
- Specialty, Feb'73

Tomato
← Tollgate Private Tollgate for Society (2) | Tomorrow →
Cross Reference
Cross-References
- Spheric, 15 Oct'72

Tomorrow
Index Entry
Tomorrow:
"Much of the most exciting and important part about tomorrow is not the technology or the automation at all, but that man is going to come into entirely new relationships with his fellow men. He will retain much more in his everyday relations of what we term the naiveté and idealism of the child. This will be completely justified and not exploited or exploitable in any way. I think then that the way to see what tomorrow is going to look like is just to look at our children."
- Citation and context at Population Sequence (8), Feb'67 (Earlier version quoted by Gene Youngblood above first chapter of "Expanded Cinema," p.45,)

Tomorrow's Clock
Cross Reference
Cross-References

Tomorrow (1)
← Tomorrow's Clock | Tongue: Bite Your Tongue →
Cross Reference
Cross-References
- Star Events, Mar'71
- Tetrascroll, (1)

Tongue: Bite Your Tongue
← Tomorrow (1) | Tongue: Biting Your Tongue (1) →
Index Entry
Tongue: Bite Your Tongue:
"When you bite your tongue, or cut your finger, or get a cinder in your eye, you become acutely aware of those otherwise only subconsciously operating organic parts. When people say 'I feel great,' it is because they don't feel anything at all. Life is fully potential and the entirely sublimated human organism coordinates omni-subconsciously."
- Cite SET X, p.5, New Delhi, Aug'72

Tongue: Biting Your Tongue (1)
← Tongue: Bite Your Tongue | Tongue & Lung Coordination →
Cross Reference
Cross-References

Tongue & Lung Coordination
← Tongue: Biting Your Tongue (1) | Tongue: Stick Your Tongue Out: Buy Your Own Tongue →
Cross Reference
Cross-References
- Babbling, 18 Mar'72

Tongue: Stick Your Tongue Out: Buy Your Own Tongue
← Tongue & Lung Coordination | Tools →
Cross Reference
Cross-References
- How Little I Know, 1 Feb'75
- Procreation, 30 Oct'71
- Survival Sequence: Love, (3)
- Human Beings & Complex Universe, (9)

Tools
← Tongue: Stick Your Tongue Out: Buy Your Own Tongue | Tools →
Index Entry
Tools:
"Man has learned how to externalize his own functions and to leave them behind. . . There are no tools that man has developed that are not extensions of the original integral functions . . . "
- Cite COMMITMENT TO HUMANITY, p. 31, May'70

Tools
Index Entry
Tools:
"Toolmaking is the externalization in discrete ways aiding the evolutionary process and the regeneration of the species.
"Man is not unique as a toolmaker at all, but he is unique in the degree to which this capacity is extended by virtue of his mind and his ability to understand those generalized principles. And he is the only one to really alter those tools, change those tools, and try to get better tools."
- Cite COMMITMENT TO HUMANITY, p. 32. May'70

Tool
Index Entry
Tool:
"That's what I mean by a tool: an orderly alteration of the environment to complement the integral organic process."
- Citation and context at Bird's Nest as A Tool (1), 12 Jun'69

Tools
Index Entry
Man "has developed a very large use of what I call the extensions of life, the industrial development of tools that make tools, that make other tools. The spider makes a web and that is a tool. And the bird makes his nest which is a tool. We find that all life carries on some kind of external environment altering operation which when importantly persistent and specific become multifold alterations, one or more of which we identify as tools with which the living species effect much greater and repetitive alterations of other aspects of the environmental processes.
"For example, a man takes part of a tree and shapes it into an axe handle with which he chops down trees in order to concentrate lumber from those trees somewhat as to shed him from the rain. But man has developed this tool making capability to far greater degree than the other biological species."

Tools
← Tools | Tools: Craft Tools →
Index Entry
Tools:
"In the great history of technology the materials that can be turned into tools are relatively scarce. Man had to seek them. The number of minds which knew how to deal with them were very few. Their experience was very limited. The tools to work the resources with were very scarce. What we might call the best organizable capabilities of men were very scarce; they have been historically scarce."
- cite OREGON UNIVERSITY Lecture #1, p. 14, 1 Jul'62

Tools: Craft Tools
← Tools | Tools: Craft Tools and Industrial Tools (1) →
Index Entry
Craft tools . . . are those "which can be spontaneously fashioned and adopted by any one individual starting nakedly in the wilderness-- for instance, his picking up a stone to do work at a distance greater than arm's length."
- Cite RBF quoted by William Kuhns in "Post-Industrial Prophets" (Harper- Colophon), p.235. 1971

Tools: Craft Tools and Industrial Tools (1)
← Tools: Craft Tools | Tools: Craft Tools and Industrial Tools (2) →
Index Entry
Tools: Craft Tools and Industrial Tools:
"I spoke to you earlier about man's developing tools. Just as my own personal strategy I found that I could divide all tools into two main classes-- craft tools and industrial tools. By craft tools I mean those that could be invented, produced, and operated by one man starting nakedly in the wilderness where he could pick up a stick, for example, and use it as a spear. This category includes all kinds of tools for working stone and so forth. All the great artifact heaps that we find around the world are tools that could be and probably were invented by some one man, starting from nothing in the wilderness with no information from anybody and using just his own experience, which taught him that this thing just might work. He tried it and it did work.
"By industrial tools I mean the ones that couldn't be produced by one man. That's a simple enough cleavage. The first industrial tool was the spoken word. You can't invent a word without two people. So, as the Bible says: 'In the beginning was the Word.' I'll say: 'In the beginning of industrialization was the word.' This is the beginning of relaying information and experiences from one man to another. Because men were able"

Tools: Craft Tools and Industrial Tools (2)
← Tools: Craft Tools and Industrial Tools (1) | Tools: Craft Tools & Industrial Tools →
RBF Definitions
"to relay information both in terms of overlapping lives and also travel, they began to consolidate all kinds of information. And we get then to the industrial tools that clearly fit my definition; for instance, the steamship 'Queen Mary,' obviously a tool that could not possibly have been produced by one man, or run by one man, or used by one man. The telephone system, a roadway system, great blast furnaces, and so forth--all these industrial tools are very extraordinary things that can accommodate you and me. They are the consequence of all the information from all the history of man about all resources everywhere, and their superiority over the craft tool is very, very great. They involve discovery in the scenery around us: whether in that rock there is something called beryllium and that beryllium can make you a coil spring that won't fatigue or spout; or that there are such things as chrome and nickel, the addition of which to iron produces a steel with a tensile strength of a thousand times that of the tensile strength of iron alone. These are the kinds of things that man found. And because of discovering that you could do more with less and less, a given cross section could have greater and greater tensile strength."
Citations
- RBF in Franklin Address, Auburn, Ala, 1970

Tools: Craft Tools & Industrial Tools
← Tools: Craft Tools and Industrial Tools (2) | Tools: Craft Tools: & Industrial Tools →
Index Entry
Tools: Craft Tools & Industrial Tools:
"By craft tools I refer to all the tools that can be produced by one man starting nakedly in the wilderness without any information or aid from anybody else. So the stone becomes a tool; the stick becomes a tool. Then man makes a spear and it is even more effective-- and he keeps modifying. These things the individual can develop out of his own personal experience, and he is prone to do so out of his own personal experience. . . .
"With craft tools you have a very limited man, limited to where his own feet will take him, limited by his unevenly distributed resources. He is very limited in total experience and in time and capability. The industrial is quite the other way: it represents the integrated information of all men and all time."
- Cite COMMITMENT TO HUMANITY, p. 32, May'70

Tools: Craft Tools: & Industrial Tools
← Tools: Craft Tools & Industrial Tools | Tools: Craft Tools & Industrial Tools →
Index Entry
Tools: Craft Tools: & Industrial Tools:
"Our tooled extensions of man breaks down into two very definite classes: I call one class the craft tools and the other I call the industrial tools. Under craft tools I include all the tools that can be invented by one man starting nakedly in the wilderness, with no advice nor informative accounts of their experiences from anybody else. All the great heaps of artifacts discovered around the world by archaeologists and anthropologists are filled with tools that could be made by one man starting nakedly in the wilderness and developed by him only from his personal experience.
"The industrial tools I define as all the tools that cannot be produced by one man. I'll give you as an example the large ocean steamship such as the Queen Mary. The idea of one man producing it or operating it would be preposterous. . . The first industrial tool was the spoken word. . . The craft tools are related only to single human beings and their very local and personal experience, their short lives and the particular area of resources into which they happen to be born. The industrial tools relate to our compounding of all experiences of all men anywhere, and all the finite resources of our total Spaceship Earth."

Tools: Craft Tools & Industrial Tools
← Tools: Craft Tools: & Industrial Tools | Tools: Craft Tool & Industrial Tools →
RBF Definitions
"All tools are externalizations of originally integral functions of humans. I divide all tools into two main classes, craft tools and industrial tools. The craft tools consist of all the tools that can be invented and produced by one man starting and operating alone naked in the wilderness. I define the industrial tools as all the tools which cannot be produced by one man.
Citations
- DOXIADIS, p. 323, 20 Jun'66

Tools: Craft Tool & Industrial Tools
← Tools: Craft Tools & Industrial Tools | Tools: Craft & Industrial (1) →
Index Entry
Tools: Craft Tool & Industrial Tools:
"In relation to the computer-tool-hookups of automation, it is to be noted that all tools are externalizations of originally integral functions of human organisms. But externalized functions such as that of the cupped hand to hold water are capable, when translated into ceramic cups, of holding hotter or more acid liquids than the human hand could. This is to say that the limits of capability of the externalized functioning are extended but are not unique in principle. Whereas the craft tools developed by man operated independently, the industrial tools develop interdependently. The machine lathe requires the blast furnace and vice versa. Individual craft tools are the externalized counterpart of the individual's separate functions, while industrial tools are the organic externalization of man's integral metabolic regeneration."
- Cite THE PROSPECTS FOR HUMANITY, Sat. Review, 29 Aug'64

Tools: Craft & Industrial (1)
← Tools: Craft Tool & Industrial Tools | Tools: Craft & Industrial (2) →
Cross Reference
Cross-References

Tools: Craft & Industrial (2)
← Tools: Craft & Industrial (1) | Tooling of Domes (1) →
Cross Reference
Cross-References
- Commonwealth, Jun'66
- Automobile, Feb'72

Tooling of Domes (1)
← Tools: Craft & Industrial (2) | Tooling of Domes (2) →
Index Entry
Tooling of Domes:
"In regard to the blueprint--what you request is really difficult because, unlike the conventional architectural world, we do not make drawings for contractors to interpret in the field. What we do, is develop the mathematical information and schedule schematic controls for industrial production of dies, jigs, and tools, which latter will in turn produce the final parts. This is to say that the designer designs tools, the mechanics produce the tools, and the tools produce the end-product--tools often produce larger or more tools which later produce the end parts. It is here that the primary misunderstanding of industry, by the older world, occurs.
"In Italy, and elsewhere, we still see the artist, scientist, mechanic embracing all of these functions, turning out a beautiful end-product such as a racing automobile. His product can never be amplified beyond his own personal capacity, either in number of pieces produced nor in exquisiteness of production of the parts. It is when the tools are employed to produce dimensions and effects in the end-product, beyond the sensorial ability of the artist-"

Tooling of Domes (2)
← Tooling of Domes (1) | Tooling of Domes (3) →
Index Entry
"mechanic to coordinate, that we have the really important improvement in scientific industrial mass production.
"In producing the parts for my geodesic dome for the Ford Motor Company's Rotunda Building in Detroit, Michigan, the 'Class A' Ford tooling maintained a tolerance in the positioning of the rivet holes, and in the diameter of those holes, of .005 inch. This is an invisible increment to the unaided human eye. Maintaining this tolerance produced a structure whose end-fixity strength was twice what it would have been had the tolerance been slackened to dimensional variations of .01 inch--which is the limit of human sensorial perceptivity. This is to say that by taking advantage of the tool's capability to operate at subvisible tolerances, double the strength was attained and therefore the dome weighed one-half as much as would a dome of equal strength, if the dimensioning had been accomplished within the limit of human visibility and hand-indexed coordination.
"It is a corollary of the above that structures produced by the most advanced capabilities of scientific industry no"

Tooling of Domes (3)
← Tooling of Domes (2) | Tools: Externalized Tooling Per Capita (1) →
RBF Definitions
Tooling of Domes
"longer demonstrate sensorial architectural adherence to Sullivan's axiom: 'form follows function.' Here both the form and the functions are invisible. You can't see the difference between alloys of steel or aluminum that may be twice the strength of other alloys of the same metals. If the function is to be strong, that function is invisible--which is to say it has no aesthetic form.
"The forms we see in geodesic structures are synergetic, which is to say that they are visible in mathematical principle only, and only as the interaction of a complex of functions. No one industrial function is visible. Any one member, in a geodesic structure, may be at one time operative essentially in tension and at another time essentially in compression. These are exact opposites and none of these alternating operative behaviors would be visible to an observer of a geodesic dome as the latter remained poised, apparently serene, in a hurricane. Geodesic domes are then designed as synergetic complexes of events which maintain a superficial ultra-high-frequency integrity of constellar patterning."
Citations
- RBF Ltr. to Mr. Brattinga, 24 Jan'58

Tools: Externalized Tooling Per Capita (1)
← Tooling of Domes (3) | Tools: Externalized Tooling Per Capita (2) →
Cross Reference
Cross-References

Tools: Externalized Tooling Per Capita (2)
← Tools: Externalized Tooling Per Capita (1) | Tools of Geometry (1) →
Cross Reference
Cross-References
- Artificial, (2)

Tools of Geometry (1)
← Tools: Externalized Tooling Per Capita (2) | Tools of Geometry (2) →
Index Entry
Tools of Geometry:
"The early Greek geometers and their Egyptian and Babylonian predecessors pursued the science of geometry with three basic tools: the dividers, the straightedge, and the scriber. They established the rule that they could not introduce information into their exploration unless it was acquired empirically by the use of those tools. With the progressive interactive use of these three tools they produced modular areas, angles, and linear spaces.
"The basic flaw in their game was that they failed to identify and define as a tool the surface on which the inscribed. In absolute reality this surface constituted a fourth tool absolutely essential to their demonstration. The absolute error of this oversight was missed at the time due to the minusculse size of man in relation to his planet Earth. While there were a few who conceived of the Earth as a sphere, they assumed that a local planar condition existed-- which the vast majority of humans assumed to be extended to infinity, with a four-cornered Earth plane surrounded by the plane or water that went to infinity."

Tools of Geometry (2)
← Tools of Geometry (1) | Tools of Geometry →
Index Entry
Tools of Geometry:
"They assumed the complementary tool to be a plane. Because the plane went to infinity in all planar directions it could not be defined and therefore was spontaneously overlooked as a tool essential to their empirical demonstrating. What they could not define, yet obviously needed, they identified by the ineffable title 'axiomatic,' meaning 'Everybody knows that.' Had they recognized the essentiality of defining the fourth tool upon which they inscribed, and had they recognized that our Earth was spherical; ergo, finite; ergo, definite; they could and probably would have employed completely different strategies than that of their initiation of geometry with the exclusive use of the plane. But to the Eastern Mediterranean world there lay the plane of the Earth at their feet on which to scratch with a scriber."
- Cite RBF dictation at SYNERGETICS Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/800-operational-mathematics#section-821.03821.03, Sept'71

Tools of Geometry
← Tools of Geometry (2) | Tools Like Cut-offable Hands →
Cross Reference
Cross-References
- Scissors Held in Fixed Openings
- Scribing
- Straightedge

Tools Like Cut-offable Hands
← Tools of Geometry | Tools are Part of Human Beings →
Cross Reference
Cross-References
- Science as a Tool, Sep'72

Tools are Part of Human Beings
← Tools Like Cut-offable Hands | Tool Networks →
Cross Reference
Cross-References

Tool Networks
← Tools are Part of Human Beings | Tools as Part of the Pattern Man (1) →
Cross Reference
Tool Networks:
Cross-References
- Rearrange the Scenery, May'72
- Industrialization, 10 Oct'63
- Robin Hood Sequence, (2)

Tools as Part of the Pattern Man (1)
← Tool Networks | Tools of Reorientation →
Cross Reference
Cross-References
- Artificial, (1)

Tools of Reorientation
← Tools as Part of the Pattern Man (1) | Tool & Symbol →
Cross Reference
Museum, 2 Jun'71
Cross-References
- Dymaxion Airocean World, 2 Jun'71

Tool & Symbol
← Tools of Reorientation | Tools (1) →
Cross Reference
Cross-References
- Symbolism in Buildings, 1 Feb'75

Tools (1)
Cross Reference
Berry Picking
Bird's Nest as a Tool
Communications Tool
Externalization of Man's Own Functions
Hands
Hierarchy of Tools
Mechanics
Mechanical Extensions of Man
Monkey Wrench
Nature's Basic Designing Tools
Monkey Wrench
Pencil
Science as a Tool
Spider's Web as a Tool
Steam as a Tool
Wheel
Building as a Tool
Tool ≠ Symbol
Machine Tools
Book = Tool
Cross-References

Tools (2)
Cross Reference
Cross-References
- Artificial, (1)(2)
- Doing What Needs to be Done, 22 Jan'73
- Heisenberg, Oct'66
- Making the World Work, (2)
- Navigation, Sep'73
- Politics: Accessory After the Fact, 12 Aug'70
- Pollution, Feb'73
- Probability, Sep'73; 15 Sep'71
- Proton & Neutron, 22 Apr'68
- Scrap Sorting & Mongering, (3)
- Words, Jun'58
- Options, 13 May'77
- Ghana Dome: Self-chilling Machine, (1)

Tools (3)
Cross Reference
Cross-References
- Tools: Craft & Industrial
- Tools: Externalized Tooling Per Capita
- Tools of Geometry
- Tool Networks
- Tools as Part of the Pattern Man
- Tools of Reorientation
- Tools Like Cut-offable Hands
- Tools are Part of Human Beings
- Tooling of Domes

Toothpicks
← Tools (3) | Topological Abundance →
Cross Reference
Cross-References

Topological Abundance
← Toothpicks | Topological Abundance (1) →
Index Entry
Topological Abundance:
"There is a constant topological abundance characterizing all systems in universe in which for every one nonpolar vertex there are always two faces and three (vectorial) lines."
Cite NASA SPEECH pp 62-63
- Cite CARBONDALE DRAFT IV.47
Jun'66

Topological Abundance (1)
← Topological Abundance | Topological Abundance (2) →
Cross Reference
Cross-References

Topological Abundance (2)
← Topological Abundance (1) | Topological Accounting →
Cross Reference
Cross-References
- Domain & Quantum, (1)(2)

Topological Accounting
← Topological Abundance (2) | Topo-aspectively →
Cross Reference
Cross-References
- antation, Oct
- Synergetic Accounting Advantages: Hierarchy Of, (1)
- Tetrahedralave Phase Model, Oct
- Omnirational Control Matrix, 12 May'75
- Quanta Loss by Congruence, (2)

Topo-aspectively
← Topological Accounting | Topological Aspects: Inventory Of →
Cross Reference
Cross-References

Topological Aspects: Inventory Of
← Topo-aspectively | Topological Hierarchy →
RBF Definitions
"Omnitopology deals with... domains of linear interrelationships, ... areal and volumetric domains, angles,frequencies, symmetries, asymmetries, polarizations, structural-pattern integrities, associative interbondabilities, intertransformabilities, and transformative-system limits, simplexes, complexes, nucleations, exportabilities, and omniinteraccommodations."
- Citation & context at Omnitopology, 9 Feb'73

Topological Hierarchy
← Topological Aspects: Inventory Of | Topological & Quantum Hierarchies →
Index Entry
_Vacuum = novent = invisible.
Partial vacuum results as the physical atmospheric gases are removed beyond whose zero evacuations the electromagnetic tensing induces reverse flows of physically demonstrable positive energy.
At the indispensable center of the sphere Universe turns itself inside-out. The invisible, a priori, multiplicative twoness, differentially disclosed in the synergetics' topological system's hierarchy, is manifest of the integrity of the sizeless, timeless nonconceptuality always complementing the conceptual system takeout from nonconceptual scenario Universe's eternal self-regenerating._

Topological & Quantum Hierarchies
← Topological Hierarchy | Topological Hierarchy →
Cross Reference
See Atomic Triangulated Substructuring: Hierarchy Of Central Angles & Surface Angles, Synergetic Hierarchies, 19 Apr'66 (B)
Cross-References
- Atomic Triangulated Substructuring: Hierarchy Of Central Angles \& Surface Angles, Synergetic Hierarchies (B), 19 Apr'66
- Epistemological Hierarchy, 22 Jul'71

Topological Hierarchy
← Topological & Quantum Hierarchies | Topo-interabundantly (1) →
Cross Reference
Cross-References
- Nucleated Systems: Idealistic Vectorial Geometry Of, 15 Feb'72
- Quantum Mechanics: Minimum Geometrical Fourness, (3)(4)

Topo-interabundantly (1)
← Topological Hierarchy | Topological Minima →
Cross Reference
Cross-References

Topological Minima
← Topo-interabundantly (1) | Topological Systems →
Cross Reference
Thirty-two Minimum Aspects of Systems
Cross-References
- Interrelationships: Fourness & Sixness
- Self & Otherness: Four Minimal Aspects
- Seven Axes of Symmetry
- Seven Minimum Topological Aspects
- Tetrahedron: Nine Schematic Aspects
- Fourteen Axes of Truncated Tetrahedron
- Thirty Minimum Topological Characteristics

Topological Systems
← Topological Minima | Topology →
Cross Reference
Cross-References
- Vertex, 1955

Topology
← Topological Systems | Topology →
Index Entry
Topology:
"Where topology brought a certain amount of generalized conceptuality to mathematics, whose constancy of interrelationships was illuminating, and whose formulas of relative interabundance of vertexes, faces, and edges were reliable, they were not identified operationally with chemistry or physics until synergetics' vectorial geometry and intertransformabilities identified the gaseous, liquid, and solid interbondings and elucidated Willard Gibbs' phase rule in chemistry conceptually."
- Cite RBF rewrite incorporated in SYNERGETICS, 2nd. Ed. at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1007.161007.16; 11 Dec'75

Topology
Index Entry
Topology:
"Where topology had the potential of bringing conceptuality to physics and mathematics, many of its practitioners were content to let topology descend to the level of a game-- dealing with such Moebius strip nonsense as pretending that strips of paper have no edges."
(Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1007.161007.16)
- Cite RBF to EJA; 3200 Idaho, Wash., DC; 10 Dec'75

Topology
Index Entry
Topology:
"Topology resolves all visual experiences into three irreducible aspects: events, novents, and traceries.
"Not until we have orbital closure of a complex or simplex tracery do we have a defined novent. Events occur wherever single or complex traceries cross back on themselves.
"Topology rationally equates the omniinterrelationships of events, novents, and traceries."

Topology
Index Entry
Topology:
"We have topology as a pattern integrity."

Topology
Index Entry
Topology:
"Topology is the science of fundamental pattern and structural relationships of event constellations."
"It was discovered and developed by the mathematician Euler. He discovered that all patterns can be reduced to three prime conceptual characteristics: to lines; points where two lines cross or the same line crosses itself; and areas, bound by lines. He found that there is a constant relative abundance of these three fundamentally unique and no further reducible aspects of all patterning
P + A = L + 2
This reads: the number of points plus the number of areas always equals the number of lines plus the number constant two. There are times when one area happens to coincide with others. When the faces of polyhedra coincide illusionarily the congruently hidden faces must be accounted arithmetically in formula"

Topology
Index Entry
Topology provides the synergetic means of ascertaining the values of any system of experiences.
-
Citation & context at Whole System: Synergetics Principle Of, 1969
-
Cite OPERATING MANUAL, p. 73 1969

Topology
Index Entry
Topology:
"Now this is topological and I would say to you that these are the only aspects of all the system. What I did was to find the minimum characteristics of all patterns in the Universe and to find that there was a constant relative abundance relationship which made it possible to build a formula."
- Cite RBF to Verner Smythe, NYC, Reel 2, 25 Feb'69

Topology
← Topology | Topology = Conceptuality →
Index Entry
Topology:
"A little over a century ago the most important comprehension of all pattern analysis was introduced into mathematics by the German mathematical-physicist, Albert [sic] Euler. He named his comprehensive, geometrical, mathematical pattern analysis topology. In topology Euler brought the 'pure' conceptual model-eschewing mathematicians back to fundamental conceptuality and to a generalized geometrical accounting of all inter-transformability and to a comprehensive algebraic quantation system governing the inter-relationships of all the components of any and all systems."
-
Cite CARBONALD DRAFT IV:40
-
Cite NASA Speech, p.58, Jun'66

Topology = Conceptuality
← Topology | Topology: Synergetics & Eulerean →
Cross Reference
Cross-References
- Conceptuality Independent of Size & Time, 2 Jun'74

Topology: Synergetics & Eulerean
← Topology = Conceptuality | Topology: Synergetics & Eulerian (1) →
RBF Definitions
"Synergetics topology integrates the geometrical angle laws with the conceptual regularities of Euler's point-area-line relative abundance laws, all of which synergetic integration of topology with angular regularities of geometrical transformabilities is conceptually generalizable independent of special-case, time-space-sizing realizations."
Citations
- SYNERGETICS, 2nd. Ed., at Sec. \href{https://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-202.03}{202.03}, 16 Nov'74

Topology: Synergetics & Eulerian (1)
← Topology: Synergetics & Eulerean | Topology: Synergetics & Eulerian (2) →
Index Entry
I am dealing with the Universe: the difference between conceptual thought and nonunitarily conceptual Universe. You cannot make a model of that, but you can show it as one conceptual_system which is tetrahedral... plus a convex and concave tetrahedron and that equals Universe.
Euler opened up about 150 years ago the great new field of mathematics which is topology. He discovered that all visual experiences could be treated as conceptual. (But he did not explain it in those words.)....
Topology is Euler's saying that all visual experience can be resolved into three fundamental and irreducible aspects: vertexes, faces and lines. (or, as we say in synergetics: crossings, openings, and trajectories.) We have something we call a line, but it doesn't have to be a straight line; it is a tracery. But to trace its course you get a fix, which is not to be confused in any way with a nodal crossing. You have a plurality of these traces and you get areas. When any traceries come back upon themselves, then we get the areas.

Topology: Synergetics & Eulerian (2)
← Topology: Synergetics & Eulerian (1) | Topology: Synergetics & Eulerian (3) →
Index Entry
The areas, the traces, and the crossings are never to be confused with one another: all visual experiences are resolved into these three.
"You just look at any picture and you have to say: What is that part? That's an area, or it's a line, or it's a crossing. .... The coincidences are a little more, because they are loci. To account for the whole picture you can elect to call it an area... mark it A... a line, which is an L; and V is for a vertex, a convergence. You mark every one of them, many times. And the number of vertexes plus the number of areas will always equal the number of lines plus the number one.
"But I saw that you cannot have a plane except as a facet. Because I am experiential I must say that a line is a consequence of energy, an event... a tracery, anyway. So it must be some kind of polyhedron. If you are dealing with a polyhedron, it is separate from Universe having an inside and an outside-- a picture in a frame, or whatever it is. The number of V's or crossings is always equal to the number of lines plus two. Or you can put a hole through it: if you do that, you find that V + F = L"

Topology: Synergetics & Eulerian (3)
← Topology: Synergetics & Eulerian (2) | Topology: Synergetics Topology & Eulerian Topology →
Index Entry
Now somebody did not realize that in putting the hole through it you had removed the poles, the axis. Two points must always be involved in every system.
Another very powerful mathematician was Brouwer. In his theorem, if we have a number of points and we continually mix them up we find that after all the stirring one of them didn't move relative to the others. Each one is always in the center of the total movement, each of those points.
But the mathematicians oversimplified the plane. In synergetics the plane has to be the surface of a system that is obverse and inverse. Therefore, there must also be another point on the other side that does not move. Every system has two points that do not move. The system always has a neutral axis. Every object has a neutral axis, two points that serve as the poles of the system. Synergetics extracts those two points for its topological inventorying.
Every system has two vertexes which must be a sign, a function, of being an axis of the system. Synergetics has the axis in reality what physics has as the spin and quanta in theory.

Topology: Synergetics Topology & Eulerian Topology
← Topology: Synergetics & Eulerian (3) | Topology: Synergetic Topology & Eulerian Topology →
Index Entry
Topology: Synergetics Topology & Eulerian Topology:
"Synergetics topology integrates laws of angle and volume regularities with Euler's point, area, and line abundance laws."
(For RBF rewrite of above see same caption, 16 Nov'74)
- Citation at Synergetics, 28 Oct'73
ANGULAR TOPOLOGY-SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-202.03202.03

Topology: Synergetic Topology & Eulerian Topology
← Topology: Synergetics Topology & Eulerian Topology | Topology: Synergetic & Eulerian (1) →
Index Entry
As in many instances of synergetic behavior, ... differentiations are sometimes subtle. For instance, there is a subtle difference between Eulerian topology, which is polyhedrally superficial, and synergetic topology, which is nuclear and identifies spheres with vertexes, solids with faces, and struts with edges. The subtlety lies in the topological differentiation of the relative abundance of these three fundamental aspects whereby people do not look at the four closest-packed spheres forming a tetrahedron in the same way that they look at a seemingly solid stone tetrahedron, and quite differently again from their observation of the six strut edges of a tetrahedron, particularly when they do not accredit Earth with providing three of the struts invisibly cohering the base ends of the camera tripod.

Topology: Synergetic & Eulerian (1)
← Topology: Synergetic Topology & Eulerian Topology | Topology: Synergetic & Eulerian (2) →
Cross Reference
Cross-References

Topology: Synergetic & Eulerian (2)
← Topology: Synergetic & Eulerian (1) | Topology (1) →
Cross Reference
(2)-(4)
Cross-References
- Omnitopology, 18 Jun'71; Apr'72; 9 Feb'73; 17 Feb'73
- Seven Minimum Topological Aspects, 12 Feb'76; 8 Feb'76
- Push-pull Members, 28 Oct'72
- Quantum Mechanics: Minimum Geometrical Fourness, (2)

Topology (1)
← Topology: Synergetic & Eulerian (2) | Topology Topological (2) →
Cross Reference
Cross-References
- Angular Topology
- Gibbs' Phase Rule
- Integers of Topology
- Omnitopology
- Permeative Topology
- Piaget: Jean: Child's Spontaneous Geometry
- Triangular Topology Integrity
- Vectorial Topology
- Generalized Topological Definability
- Vertexial Topology
- Thirty Minimum Topological Characteristics
- Minimum Topological Characteristics
- Seven Minimum Topological Aspects
- Synergetics Topology
- eptiveness of Topology, Dec

Topology Topological (2)
← Topology (1) | Topology (3) →
Cross Reference
Cross-References
- Conceptual Systems, May'72
- Schematic of the Principles, 10 Sep'74
- Synergetics, 10 Jan'50; 28 Oct'63*; 15 Nov
- Two, (1)(2)
- Whole Systems: Principle Of, 1969
- Neutral Axis, 1 Jan'75
- Projective Transformation Model
- Synergy, 1954
- Comprehensibility of Systems, 26 May'72
- Somethingness & Nothingness, 7 Oct'75
- Icosahedron: Subtriangulation, (2)
- Windows of Nothingness, (1)
- Microsystems, 22 Mar'76

Topology (3)
← Topology Topological (2) | Topsoil Topsoiling →
Cross Reference
Topo-inderabundantly
Cross-References
- Topological Abundance
- Topological Accounting
- Topo-aspectively
- Topological Aspects: Inventory Of
- Topological Hierarchy
- Topological Systems
- Topology = Conceptuality
- Topology: Synergetics & Eulerian
- Topological Minima

Topsoil Topsoiling
← Topology (3) | Top Speed Top Velocity (1) →
Cross Reference
Cross-References
- Earth, 24 Apr'67
- Manifest: Four, 1973
- Stardust, May'65

Top Speed Top Velocity (1)
← Topsoil Topsoiling | Top Speed Top Velocity (2) →
Cross Reference
Top Speed: Top Velocity:
Cross-References
- Absolute Velocity
- Eternity as Highest Speed
- Intellect: Speed Of
- Norm of Einstein as Absolute Speed
- Terminal Speed
- Limit Speed

Top Speed Top Velocity (2)
← Top Speed Top Velocity (1) | Toration (1) →
Cross Reference
Cross-References
- Absolute Velocity, 30 Oct'73
- Self-regenerative, 2 Jun'71
- Velocity, 1970
- Wow: The Last Wow
- Rate, 1938

Toration (1)
← Top Speed Top Velocity (2) | Toration (2) →
Cross Reference
Cross-References
- Coring Torus

Toration (2)
Cross Reference
Cross-References

Torii
← Toration (2) | Tornado (1) →
Cross Reference
Cross-References
- Three-way Weaving vs. Two-way Crisscross, 13 Mar'75

Tornado (1)
Cross Reference
Fountain Pattern
Cross-References

Tornado (2)
Cross Reference
Cross-References

Toronto
Index Entry
Toronto:
"Toronto is really a very powerful, a very elegant city. Of course now all the old water ports are finished. Toronto is the biggest city on the direct air route from the Americas to Moscow and Peking."
- Cite RBF to EJA, 3200 Idaho, Wash., DC, 8 Apr'75

Torque
← Toronto | Torque at Center of Convergence →
Index Entry
Torque:
"Parallel lines can be torqued. So may the parallel lines of a cylinder be twisted as we see them in a rope. A rope and a cone are both forms of simple curvature."
- Cite I&I, p. 217, PREVIEW OF BUILDING, 1 Apr'49

Torque at Center of Convergence
← Torque | Torque & Countertorque →
Index Entry
Torque at Center of Convergence:
"We also have learned that a plurality of lines cannot go through the same point at the same time. Therefore the eight perpendiculars to the centers of area of the triangle faces and the 12 lines that led to their 12 common outer vertexes, like the tetrahedra's volumes and areas, have come to common zero time-space size and can no longer interfere with one another. We find, operationally, however, that there never was any paradoxical problem such as Zeno's 'never completable approach' concept for we have learned of the fundamental torque or twist always present in all experientially explored system realization and we find that as each team of opposite triangles apprehended the other just upon their nearing the center each is whirled 180°, or is 'half spun' about, with its three corners never completely converging. Whereafter they diverge."

Torque & Countertorque
← Torque at Center of Convergence | Torque Komentum →
Cross Reference
Turbining & Counterturbining
Cross-References

Torque Komentum
← Torque & Countertorque | Torque (1) →
Cross Reference
Torque Komentum:
Cross-References
- Omnisequilibrium, (1)(2)

Torque (1)
← Torque Komentum | Torque (2) →
Cross Reference
See Motions: Six Positive & Negative Omnilibrium Polar Torque Torque & Countertorque Turbining Twist-and-torque Contractions
Cross-References
- Motions: Six Positive \& Negative Omnilibrium Polar Torque Torque \& Countertorque Turbining Twist-and-torque Contractions

Torque (2)
Cross Reference
Cross-References
- Transformation, 10 Oct'50
- In, Out & Around Experiences, (2)
- Six Motion Freedoms & Degrees of Freedom, (6)

Torus
Index Entry
Torus:
"Explosions are pushive and emolute and involute as do rubber toruses."
-
Cite RBF caption for Synergetics Illustration #47: Beverly Hotel, New York, 24 April 1971.
-
Citation at Explosions, 24 Apr'71

Torus
Index Entry
Torus:
"If the pattern has a hole through it like a doughnut then you don't have to have plus anything. You leave out the two from this solid. When you leave out the two from this solid it really is to say that it is a doughnut and you are cutting out the axis, which is to say that the axis is two."
- Cite Oregon Lecture #7, p. 246. 11 Jul'62

Torus (1)
Cross Reference
Evolute
Fountain Pattern
Cross-References

Torus (2)
Cross Reference
Cross-References
- Balls Coming Together, (2)
- Explosions, 24 Apr'71*

Totality
Index Entry
Totality:
"Every child manifests spontaneous interest in totality."
- Cite RBF remarks at Design Science Institute press conference, N.Y., 28 Jun'72

Totality
Index Entry
Totality:
"Compression is inherently partial. Tension is inherently total."
-
Citation at Tension & Compression, Dec'71
-
The Synergetics Draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-640.70640.70 Dec. '71.

Totality
Index Entry
Totality:
"Conceptual totality is inherently prohibited."
-
Citation & context at Conceptual Totality, May'72
-
Otto LOVE, 6-Sep-70

Totality
← Totality | Total Complexity →
Index Entry
Totality:
"There is conceptuality within the totality but it is always partial.
-
Citation & context at Conceptuality, 22 Jul'71
-
Copied from SHS, U. Mass., Amherst, 22 July '71

Total Complexity
Cross Reference
Cross-References

Total Energy
← Total Complexity | Total Experience →
Cross Reference
Cross-References
- Eternity vs Energy, 2 May'78

Total Experience
← Total Energy | Total Industry →
Cross Reference
Linsteain Equation: E=mc², 1959
Cross-References
- Energetics & Synergetics, 10 Jan'74
- Industrialization, 20 Jun'66
- Synergetic Integral, 1960

Total Industry
← Total Experience | Total Information →
Cross Reference
Cross-References
- Halfway-round-the-Worl ding, (1)(2)

Total Information
← Total Industry | Total Man →
Cross Reference
Cross-References
- Twelve Universal Degrees of Freedom: General Systems, (I)-(IV)

Total Man
← Total Information | Total Totality (1) →
Cross Reference
Cross-References
- Laisses-faire Process, 10 Oct'63

Total Totality (1)
← Total Man | Total, Totality →
Cross Reference
Covariant Differentiation of Totality
Mystery of Totality
Sum-total
Total of Experience
Cross-References
- Aggregate
- Allness
- Child's Spontaneous Interest in Totality
- Comprehensive
- Holistic
- No Conceptual Totality
- Partiality
- Remergent Synchronization
- Starting with Universe
- Synergetic Strategy of Commencing with Totality
- System Totality
- Total Complexity
- Total Information
- Understanding is Exquisitely Total
- Unitary Totality
- Whole
- Wholes & Parts
- Womb of Total Human Consciousness
- Whole System
- Grand Strategy

Total, Totality
← Total Totality (1) | Total Totality →
Cross Reference
Conceptual Totality, May'72*
Cross-References
- Comprehensive Universe, (1)
- Conceptuality, 6 Sep'71; 22 Jul'71*
- Conditioning, 14 Feb'72
- Energetic-synergetic Geometry, Jul'59
- Energetic Information, 23 Apr'76
- Enough to Go Around, (1)(2)
- Energy, 17 Jun'75
- Environment, 28 Apr'77
- Epigenetic Landscape, May'49
- General Systems Theory, (2)
- God, 3 Apr'74
- Heaven, 23 May'72
- In & Out, 19 Jun'71
- Industrialization, Jun'66
- Intuition of the Child, (4)

Total Totality
← Total, Totality | Total Totality (3) →
Cross Reference
Cross-References
- Local vs. Comprehensive, (1)
- Man: Interstellar Transmission of Man, (2)
- Order & Disorder, May'72
- Organic & Inorganic, May'49
- Plurality, 5 Mar'55
- Quantum Mechanics, Jun'66
- Quantum Mechanics: Grand Strategy, 10 Apr'75
- Scenario, 1970
- Specialization, Dec'69
- Synergetic Integral, 1960
- Tension & Compression, Dec'71*
- Time Center, 16 Nov'72
- Truth, 29 Dec'73
- Whole System, 28 May'72

Total Totality (3)
Cross Reference
Total of Experience
Cross-References

Touch
← Total Totality (3) | Touch →
Index Entry
Touch:
"If you want to do something good for a child... give him an environment where he can touch things as much as he wants."
- Cite RBF quoted by Cam Smith in RBF TO CHILDREN OF EARTH, Dec'72

Touch
Index Entry
Touch:
"We can hear, see, taste, smell and touch-feel."
- Cite RBF Synergetics draft Sept. 1971, "Conceptuality. Sensoriality: Sweepout."

Touch
← Touch | Touch = Tax of vortex →
Index Entry
Touch:
"Touch = tex of ver-tex, i.e., converging toward touchability, meaning a frequency-complex clustering whose frequencies interfere, or tune in, with the frequency array of the molecular complex of the atoms altogether constituting the Galaxy of frequencies of our life cell tissues of Milky Way nebulae of locally regenerative frequency, locally recurrent through self-interference patterning."
- Citation and context at Radome Sequence (1)(2), 29 Dec'58

Touch = Tax of vortex
Cross Reference
Cross-References
- Touch, 29 Dec'58

Touchable Thing
← Touch = Tax of vortex | Touchable You (1) →
Cross Reference
Cross-References
- Death, 5 Jul'62

Touchable You (1)
← Touchable Thing | Touch (1) →
Cross Reference
Cross-References
- Tactile Sequence, (1)

Touch (1)
← Touchable You (1) | Touch (2) →
Cross Reference
Tangential
Touch = lex of Vertex
Cross-References

Touch (2)
Cross Reference
Cross-References
- Senses, 9 Apr'40 (1)(2)
- Substantive Awareness, 20 Feb'73
- Harmonics, (2)
- Children as Only Pure Scientists

Touchdown
Cross Reference
Football Player
Cross-References

Toward
Cross Reference
Cross-References

Town
Cross Reference
Cross-References

Toys
Index Entry
Toys:
"I have shunned daily the recurrent opportunities to exploit the energetic-synergetic geometry either as toys or as objets d'art. . . ."

Toys
Cross Reference
Cross-References

Trace Elements (1)
Cross Reference
Cross-References

Trace Elements
← Trace Elements (1) | Tracer Bullet Sequence →
Cross Reference
Trace Elements:
Cross-References
- Overload the System, 15 May'72
- Spinach, 11 Feb'73

Tracer Bullet Sequence
← Trace Elements | Trace Traceried (1) →
Cross Reference
Cross-References
- Geodesic, 5 Jul'62
- Spherical Triangle Sequence
- Geodesics, (1)

Trace Traceried (1)
← Tracer Bullet Sequence | Trace: Traceries: Tracer (2) →
Cross Reference
Cross-References

Trace: Traceries: Tracer (2)
← Trace Traceried (1) | Track to Trackless (1) →
Cross Reference
Cross-References
- Topology, 10 Sep'74
- Truss, 25 Jan'73
- Wave, Dec'71
- Wind Stress & Houses, (10)
- Windows of Nothingness, (1)(2)

Track to Trackless (1)
← Trace: Traceries: Tracer (2) | Track to Trackless (2) →
Cross Reference
Cross-References

Track to Trackless (2)
← Track to Trackless (1) | Track →
Cross Reference
Cross-References
- Dymaxion Airocean World, (1)
- Invisible Architecture, (1)
- Pirates: Great Pirates, (3)

Track
← Track to Trackless (2) | Trade →
Cross Reference
Cross-References

Trade
Cross Reference
Trade:
Cross-References
- Planarity of Trade-center Colonising

Tradition
Cross Reference
In Tradition Lies Fallacy:
Cross-References
- Natural, 20 Jan'75
- Rationalization Sequence, (3)

Traffic
← Tradition | Traffic in Ideas Idea Exchange (1) →
Index Entry
"Traffic is not a _____ willful demonstration of street usurpation. It is a composite of functioning transport media designed primarily for the transport of individuals from shelter to shelter."
- Cite NINE CHAINS TO THE MOON, p.3, 1938

Traffic in Ideas Idea Exchange (1)
← Traffic | Traffic in Ideas: Idea Exchange →
Cross Reference
Traffic in Ideas: Idea Exchange: See City as Center of Abstract Intercourse
Cross-References

Traffic in Ideas: Idea Exchange
← Traffic in Ideas Idea Exchange (1) | Traffic (1) →
Cross Reference
Traffic in Ideas: Idea Exchange:
Cross-References
- New York City, (7)

Traffic (1)
← Traffic in Ideas: Idea Exchange | Traffic (2) →
Cross Reference
Traffic:
Highway
Cross-References

Traffic (2)
Cross Reference
Cross-References
- Population Density, 30 Mar'71 (2)

Tragedy
Index Entry
Tragedy:
"I take the word tragedy to mean poor little man being born ignorant and helpless and not having any idea of what is going on in the Universe. If for one instant we could really come to understand our Universe and could perceive ourselves as really one with Universe, we wouldn't have to consider such a word as 'tragedy.' We would see that there is absolute immortality. 'Tragedy,' I think is where everything just comes out wrong, and nothing works and the Universe is a failure. But I don't think the Universe is a failure. And the reason I don't think so is that as far as we can see Universe is the minimum eternally self-regenerative system, so we can only think of it as a complete success. It includes everything we experience and all of it has logical and sublime integrity."
Really
- Cite RBF in Barry Farrell Playboy Interview, 1972 - Draft. p. 20.

Tragedy
← Tragedy | Trail Making and Trail Remembering →
Cross Reference
Cross-References

Trail Making and Trail Remembering
← Tragedy | Trail Making & Trail Remembering →
Index Entry
Trail Making and Trail Remembering:
"In lines we see that earliest man's social experience began with trail-making and trail-remembering. The connecting trail 'line' was the basis of his establishment of communication. Today it is the essence of communication theory."
-
Cite AAAS JOURNAL, May 1965, Pps. 176, 177
-
Citation and context at Communication, May'65

Trail Making & Trail Remembering
← Trail Making and Trail Remembering | Trails & Wakes →
Cross Reference
Cross-References
- Intellect, 1960
- Tetrahedral Number, May'65

Trails & Wakes
← Trail Making & Trail Remembering | Trail (1) →
Index Entry
"Because of inherent lags humanity is always contemplating the jet trails and the wakes. The trails and wakes have an integrity of their own but far different from that of the plane or the ship."
- Cite RBF to EJA, 320C Idaho, Wash., DC, 8 Apr'75

Trail (1)
← Trails & Wakes | Trail (2) →
Cross Reference
Cross-References
- Grass: Putting Aside the Grasses to Isolate the Trail
- Irrelevancies: Dismissal Of
- Parting the Strands
- Strands
- Walking
- Jet Streams

Trail (2)
Cross Reference
Number: Tetrahedral Number, May'65
Trim Tab, 1963
Cross-References
- City, (1)

Trained Mind
← Trail (2) | Trained Nurses (3) →
Cross Reference
Trained Mind:
Cross-References

Trained Nurses (3)
Cross Reference
Cross-References

Train
← Trained Nurses (3) | Trajectory →
Cross Reference
Railroads
Cross-References

Trajectory
Index Entry
Trajectory:
"Our definition of an opening is that it is surrounded, that is framed, by trajectories. Every trajectory in a system will have to have at least two crossings. These are always as viewed, because the lines could be at different levels from other points of observation."
-
Cite RBF to EJA. Somerset Club, Boston, 22 April 1971
-
Citation at Opening, 22 Apr'71

Trajectory
← Trajectory | Trajectory (1) →
Index Entry
Trajectory:
"There are no surfaces. Therefore, there are no areas. So Euler's topological aspects have to be altered to read: "lines" = trajectories; "vertexes" = crossings; and "areas" = openings, i.e., where there are no trajectories or crossings. This relates to systems."
-
Cite RBF to EJA, Somerset Club, Boston, 22 April 1971
-
Citation at System, 22 Apr'71

Trajectory (1)
← Trajectory | Trajectory (2) →
Cross Reference
Cross-References
- Circuit
- Critical Path
- Crossing
- Fireworks
- Geodesic Line
- Line
- Intertrajectory
- Spiral
- Vector
- Crossings, Openings & Trajectories

Trajectory (2)
← Trajectory (1) | Trampoline →
Cross Reference
Cross-References
- Critical Proximity, 1971
- Divergence, 1971
- Interrelationships, 1971
- Opening, 22 Apr'72*
- System, 22 Apr'71*
- Cosmic Vacuum Cleaner, 16 May'75

Trampoline
← Trajectory (2) | Transaction →
Cross Reference
Trampoline:
Cross-References

Transaction
← Trampoline | Transceiver Transceiving (1) →
Cross Reference
Cross-References
- Information Transaction

Transceiver Transceiving (1)
← Transaction | Transceiver Transceiving (2) →
Cross Reference
Eye as Transceiver
Cross-References

Transceiver Transceiving (2)
← Transceiver Transceiving (1) | Transcendental →
Cross Reference
Cross-References
- Valvability, 30 Nov'72
- World-around Communication Transcends Politics, (1)
- Communication, 21 Jun'77
- Identity, 16 Feb'78

Transcendental
← Transceiver Transceiving (2) | Transcendental →
Index Entry
Transcendental:
"There is a question-asking possibility that metaphysical omniscience may be transcendental in its velocity to that of omnipotence, i.e., the definitive physical speed of energy as radiation."
-
Cite OMNIDIRECTIONAL HALO, p. 163; as rewritten by RBF in Washington DC, 21 Dec 1971.
-
Citation at Metaphysical & Physical, 21 Dec'71

Transcendental
← Transcendental | Transcendental →
Index Entry
A mind may be operative elsewhere throughout Universe in other than human organisms.

Transcendental
← Transcendental | Transcendental →
Index Entry
'What I mean by omniscience
Is synergetically transcendental
even to Einstein.'
-
Cite RBF to EJA- Sarasota, Florida- 7 February 1971
-
Citation and context at Omniscience, 7 Feb'71

Transcendental
← Transcendental | Transcendental (1) →
Index Entry
Transcendental:
"Generalizations are also transcendental
To beginnings and endings."
- Citation and context at Generalized Principle (1), 28 Jan'69

Transcendental (1)
← Transcendental | Transcendental (2) →
Index Entry
There quite clearly is a capability operating that is much greater than the capability of man. The discovery that man has really been bumbling around in a very ignorant way in an extraordinarily well organized affair, where things are so well invented that he really couldn't fail despite his ignorance and despite his propensity for eliminating the other fellow. I am going to say that I am sure this next half-century will be one of a comprehensive discovery of the leaders of men as the most trusted, most reliable intellectual explorers and, in fact, of everybody. It is going to be a first-hand affair, and not something that happens by virtue of somebody telling you about it. I would say there is going to be a discovery and a developing of individual convictions of the leaders of world society of a comprehensive anticipatory integrity of the highest intellectual order and it has no shape at all. It is not a thing thing. It is completely transcendental to anything that could be called thingness. There is no idolatry involved here. I would say there was going to develop something instead of, in lieu of, just a faith in the wisdom of your parents, or other fine people who said: yougg man, I really urge you to believe this is the

Transcendental (2)
← Transcendental (1) | Transcendental →
Index Entry
Transcendental:
"way to behave and just behave that way and everything will come out all right. There is going to develop a working conviction by direct discovery by the leaders of men, and then in due course by all men. I think we are coming into an era of higher confidence in the integrity of Universe than man has ever known before."
- Cite Oregon Lecture #4, p.129, 6 Jul'62

Transcendental
← Transcendental (2) | Transcendental (1) →
Index Entry
There is a question-asking-possibility that omniscience may be transcendental in velocity to the definitive physical speed of energy omnipotence.
-
Citation at Omniscience Transcendent of Omnipotence, 1960
-
Cite Omnidirectional Halo, p. 163. 1960

Transcendental (1)
← Transcendental | Transcendental (2) →
Cross Reference
Continuous Man
Intellect: Intellections
Intellect: Speed Of
Meditation: TM
Metaphysical & Physical
Life is Not Physical
Ideal Synergetics
Metaphysical Transcendent of the Physical
Objective Intellect
Omniscience
Omniscience Transcendental of Omnipotence
Science: The Great Design
Supreme Intellect
Synergetic Integral
Threshold of Life
Universal Mind
Womb of Total Human Consciousness
Greater Intellect
God
Cross-References

Transcendental (2)
← Transcendental (1) | Transformable →
Cross Reference
Cross-References
- Angle, 4 Nov'72
- Christ, 7 Oct'71
- Generalized Principle, (1)
- Metaphysical & Physical, 21 Dec'71*
- Omniscience, 7 Feb'71*
- Principle, Jun'69
- Synergetic Integral, 1960
- Omniscience Transcendental of Omnipotence, 1960
- Pi, Aug'71
- Large Patterns, 30 May'75
- Regenerativity, 17 Jan'75
- Order & Disorder, 1964

Transformable
← Transcendental (2) | Transformable →
Index Entry
Transformable:
"In a necklace the angles between the pieces are transformable until you reduce them to a triangle. The triangles is then not transformable."
- Cite RBF to EJA, 3200 Idaho, DC, 23 Jan '72

Transformable
← Transformable | Transformable Transformability (1) →
Index Entry
Transformable:
"I will give another example
Of always and only co-occurring phenomena.
Physicists today observe
That the proton and neutron
Always and only co-occur.
While they are not 'mirror' images of one another,
And have different weights,
They are transformable
One into the other,
And are thus complexedly complementary,
As are isosceles and scalene triangles.
None of the angles and edges of either need be the same
To produce triangles of equal area.
And the sums of the three angles of each
Will always be one hundred and eighty degrees."
-
Cite BRAIN AND MIND, p. 126, galley 1971
-
Citation & context at Proton & Neutron (1), May'72

Transformable Transformability (1)
← Transformable | Transformable (2) →
Cross Reference
Omniintertransformable
Cross-References

Transformable (2)
← Transformable Transformability (1) | Transformation →
Cross Reference
Cross-References
- Physical, 1970
- Proton & Neutron, May'72*
- Energy Has Shape, 25 Sep'73
- Finite Minus De-finite, Nov'71
- O Module, 29 Sep'76

Transformation
← Transformable (2) | Transformation →
Index Entry
Transformation:
"Nature is ceaselessly transforming. Every event has six equieconomical alternatives. Eternal transformation is inexorable...."

Transformation
← Transformation | Transformation →
Index Entry
Transformation:
"In dealing with the physicists and mathematicians who are working with the molecular biologists, one of the mental blocks I began to find on the part of the mathematicians were their tendency to still think of these Platonic geometries as individual integrities, as not having interrelationship. It took me quite some time to get them to give me enough time to let me show them the transformation of one of these into the other. They, as physicists and mathematicians, were very used to transformation but transformations had no conceptual imagery at all. They were simply done by symbols. Just as you can make a transformation from two sides of an equation if you choose to take the positive and negative from one side to another and you will have to know which way it goes, but you can transform the equation without knowing what is in the equation. It does not have to stand for any particular given material called empty sets so you are used to mathematical transformability and empty sets. The mathematicians were so used to that, that they had not expected to see or actually witness an affair where there are the complementaries."
- Cite Oregon Lecture #8, p. 281. 12 Jul'62

Transformation
← Transformation | Transformation →
RBF Definitions
Gradually now I am making you think about not only the withinness and the withoutness, but we even have a definition of a finite Universe even though nonsimultaneous. It is one in which we are dealing always in finiteness and is always adding up in their complementary transformations and the transformations are changing the rest. Something you are looking at locally is changing and it is changing the things around it. It has to do so."

Transformation
← Transformation | Transformation →
Index Entry
Transformation:
"Universe is the minimum as well as the maximum closed system of omni-interacting, precessionally transforming, complementary transactions of synergetic regeneration...."
-
Citation at Closed System, 1960
-
Cite OMNIDIRECTIONAL Halo, p.135.1960

Transformation
← Transformation | Transformation →
Index Entry
Transformation:
"In the inherently subjective language of physical transformation of an omni-interaltering and accelerating universe there are only two fundamental kinds of observable transformational changes, i. e., angular, or sub-unity alterations, and linear, or plural unity (frequency modulated) accelerations. These subjectively viewed transformations of universe are also objectively and locally controllable by man through designed angle and frequency modulations."
- Cote OMNIDIRECTIONAL HALO, p. 156, 1960

Transformation
← Transformation | Transformation →
Index Entry
Transformation:
"... All transformations: convergence-divergence, inside-outing, oscillation, torque, precessing, and radial and axial turbulence."
- RBF paper, Raleigh NC, 10 Oct'50

Transformation
← Transformation | Transformation Event →
Index Entry
Transformation:
"All structure is a transformative phase or complex of tetrahedra@l transformations."
- Cite I&I, DOMES, p. 166. Date undetermined

Transformation Event
← Transformation | Transformation Pattern →
Index Entry
Transormation Event:
"Once a closed system is recognized as exclusively valid,
the list of variables and the degrees of freedom are closed
and limted to six positive and six negative alternatives
of action for each local transformation event in Universe."
-
Citation at Closed System, 21 Oct'65
-
Cite KEYNOTE VISION 65, p. 120, 21 Oct'65.

Transformation Pattern
← Transformation Event | Transformational Projection →
Cross Reference
Transformation Pattern:
Cross-References
- Terahedron, 24 Sep'73

Transformational Projection
← Transformation Pattern | Transformational Projection →
Index Entry
The transformational projection is contained entirely within a plurality of great-circle-bounded spherical triangles (or quadrangles or multipolygons) of constant, uniform-module (invariant, central-angle incremented) subdivision whose constantly identical edge length permit their hinging into flat mosaic tile continuities. . .

Transformational Projection
← Transformational Projection | Transformational Projection →
Cross Reference
RBF approves the designation "Triangular Geodesics Transformational Projection" vice "projective Transformation."
- Cite RBF to EJA, 200 Locust, Phila., 22 Jan'73
Cross-References

Transformational Projection
← Transformational Projection | Transforming Center →
Cross Reference
Twenty-foot Earth Globe
200-foot Celestial Globe
Cross-References

Transforming Center
← Transformational Projection | Transformation: Transformative →
Cross Reference
Cross-References
- Me the Observer, 19 Feb'73

Transformation: Transformative
← Transforming Center | Transformation (1A) →
Index Entry
Transformation: Transformative:
"We may say that nature proceeds from the obviously orderly and symmetrical to the nonobviously, but always orderly, transformation phases known as asymmetries which, having gone through their maximum or peak positive phase asymmetry, which only seems (to the uninformed brain) to be disorderly, always returns transformatively thereafter through an orderly progression of decreasing asymmetry to the fleeting passing through the condition of equilibrium popularly recognized as 'order,' thereafter deviating asymmetrically to the negative phase of balancing limits of oscillation."
-
Citation at Symmetry & Asymmetry, Jul'71
-
Cite Synergetics Draft, "Symmetry," Sec \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-532.02532.02, July 1971.

Transformation (1A)
← Transformation: Transformative | Transformation Transformings (2) →
Cross Reference
See Associative & Disassociative Catalog of Alternate Transformative Options, 1A
Omnidifferentiated Rates & Methods of Transforming, 1A
Pattern Transformation, 1A
Propagative Transformation of the VE, 1A
Radial-circumferential Acceleration Transformations, 1A
Eternal = Transforming, 1A
Intertransformings: Intertransforms, 1A
Cross-References
- Associative \& Disassociative Catalog of Alternate Transformative Options, 1A
- Human Ecology Transformations
- Interpolyhedral Transformations
- Local evolutionary Transformation Events
- Limit Structural Transformative Tendencies
- Minima Transformation
- Minimum Momentum of Transformation
- Reciprocally Transformative Precessional Involvements
- Step-up, Step-down Transformation
- Tetrahedral Transformations
- Transformational Projection
- Richter Transformation
- Hex-pent Sphere: Transformation into Geodesic Spiral Tube

Transformation Transformings (2)
← Transformation (1A) | Transformers →
Cross Reference
Cross-References
- Abstractions, 1964
- Acceleration: Angular & Linear, 1960
- Artifacts, (1)
- Closed System, 21 Oct'65*
- Design Science, (1)
- Eternal vs. Finite, 15 Dec'71
- Indeterminism, 20 Jun'77
- Individual Universes, (1)
- Omnidirectional Typewriter, (2)
- Relativity, 1968
- Tidal, May'72

Transformers
← Transformation Transformings (2) | Transient →
Cross Reference
Cross-References
- Vertexial Spheres, 8 Apr'75
- Convex & Concave, 16 May'75

Transient
← Transformers | Transinvisibility →
Index Entry
Transient:
"...Transient, ergo, sensorially detectable..."

Transinvisibility
Cross Reference
Cross-References
- Invisibility, 1 Jul'62

Transistor
← Transinvisibility | Transistor →
Index Entry
Transistor:
"Transistors were not smell-discovered and can't be made to do what is physically foreign to transistor behaviors."
- Citation & context at Invisible Reality, 22 Jun'74

Transistor
← Transistor | Translator (1) →
Index Entry
"While the physicist processes his nuclear problems with nonconceptual mathematics, the conceptual isotropic vector matrix equilibria model provides a means of comprehending all the electromagnetic and nonelectromagnetic energy valving and angular shunting controls of the solid state mtransistors."
- Citation and context at Atomic Computer Complex (2), 13 May'73

Translator (1)
← Transistor | Translator (2) →
Cross Reference
Cross-References

Translator (2)
← Translator (1) | Transition →
Cross Reference
Cross-References
- Atomic Computer Complex, (2)
- Invisible Reality, 22 Jun'74*
- Revolution, Aug'64
- Omnidirectional Typewriter, (4)

Transition
← Translator (2) | Transmission (1) →
Cross Reference
Cross-References

Transmission (1)
← Transition | Transmission (2) →
Cross Reference
Cosmic Transmission
Cross-References
- Electromagnetic Transmission
- Man: Interstellar Transmission of Man
- Power Transmission
- Information Transmitting & Nontransmitting Model
- Radiation as Information-carrier
- Electromagnetically Transmittable Logistics
- Electromagnetic Transmission of Human Organisms
- Extraorganic Travel
- Scan-transmission of Pattern Integrities
- Electromagnetic Transmission: Subjective & Conscious

Transmission (2)
← Transmission (1) | Transnational →
Cross Reference
Cross-References
- Size-selective, 30 Nov'72

Transnational
← Transmission (2) | Transnational Capitalism & Export of Know-how (1) →
Index Entry
We are now entering a transnational period of world evolvement quite apart from national sovereignties. The world corporations are not so much exporting products as know-how and technology and these do not require the protection of sea power. So the companies are not saying to the governments that your military has to protect me locally.
Cite RBF to American Enterprise Institute, Washington, DC, 28 Nov'72

Transnational Capitalism & Export of Know-how (1)
← Transnational | Transnational Capitalism & Export of Know-how (2) →
Index Entry
Transnational Capitalism & Export of Know-how:
"There were no building industry exhibits, no manifests of 'National Association of Real Estate Boards,' nor of home builders associations, nor building labor unions"... at the UN Habitat Conference in Vancouver.
"Conspicuous by the old banking world's absence, it became quite clear that the world bankers, confronted with escalating building costs which had passed the point of no return, as well as with exhaustion of the USA's--and all other major capitalist-system nations'--building mortgage guarantee creditability, had withdrawn all support of real estate exploiters and of obsolete building technology in general.
"The big money of the world... has gone entirely transnational... had found that whereas 'you can't take it with you' into the next world, you also can't take it with you around the world--ergo, ownership has now become onerous. Big money has left all the sovereignly locked-in, local-property-game players holding the unmovable bags of real estate. Machinery becomes obsolete almost overnight, ergo is unattractive as a continuing property and must be written"

Transnational Capitalism & Export of Know-how (2)
← Transnational Capitalism & Export of Know-how (1) | Transnational Capitalism & Export of Know-how (3) →
RBF Definitions
"off the books in five years. but machinery can be melted and reworked to ever higher earning effectiveness only by ever improving know-how.
"Know-how has become the apple of 1976 transnational capitalism's eye....
"All the great American corporations of yesterday have now moved out of America and their prime operations have become transnational and conglomerate and are essentially concerned with the game of selling their corporations' very complete technical, managerial, and vast credit-handling and money-making know-how. For this reason they are not interested in the older kind of properties. This set of unpredicted changes of volition explained the lack of concern of transnational conglomerate capitalism and their lack of opposition to the UN Vancouver Conference's preoccupation with human settlements--peanuts....
"The new transnational capitalism's grand strategies are primarily formulated... to keep governmental power widely deployed, ergo 'conquered.' The media it employs to aim and focus humanity's attention on what capitalism would like"

Transnational Capitalism & Export of Know-how (3)
← Transnational Capitalism & Export of Know-how (2) | Transnationalism: vs. Colonialism (1) →
Index Entry
Transnational Capitalism & Export of Know-how:
"the human beings to think about and buy. Much of their media news has been smoke-screen news diverting humanity's attention from what the supranational capitalism itself has been doing. For instance, all the while the world news was spot-lighted on the Korean and Vietnam warring, the great USA corporations and banks were conglomerating and moving out of America into a world theater of operation."
- Cite ACCOMMODATING HUMAN UNSETTLEMENT, p.8; 20 Sep'76

Transnationalism: vs. Colonialism (1)
← Transnational Capitalism & Export of Know-how (3) | Transnationalism vs. Colonialism (2) →
Index Entry
Transnationalism: vs. Colonialism:
"Probably the most prominent of the economic trends prognosticating evolutionary events is that of the supranational corporation. The 200 largest industrial and financial corporations originally developed within the United States have now expanded to become world corporations with the preponderance of their operation and income derived from outside the United States. It has been quite feasible for these abstract organizations to obtain a world passport, but not so for human individuals.
Transnationalism is very different from colonialism. Colonialism was primarily characterized by the most powerful sovereignties in Europe going to nonindustrialized countries around the world where a few unique chemical element resources existed unused in the local arts-- crafts, hunting, and fishing economies-- and extracting those chemical element resources whose significance was unrecognized by the local peoples. They progressively separated the chemical element resources from the ore bodies, refining and importing them to the European (and sometimes American) economies where these chemical elements became essential ingredients of tools or end products of mass production tools in the modern industrial evolution of ever higher performance technology per units of resource input."

Transnationalism vs. Colonialism (2)
← Transnationalism: vs. Colonialism (1) | Transnationalism vs. Colonialism (3) →
Index Entry
Transnationalism: vs. Colonialism:
"In due course the same chemical elements, as ingredients of the modern technology, were exported around the world thus to return from time to time to the countries from which the raw materials originated. This brought a great mark-up of the price of their original materials to the buyers in the countries of raw origin. Because of their meager money-producing economies, the balance of annual trade was always unfavorable to the 'colonies' and always favorable mm of the European or American sovereignties.
"In contradistinction to colonialism, which took resources away from people, the new corporate transnationalism brings resources to the lesser sovereign powers.
"In the early 1920's Mexico effected a historical shutout of colonialism while conceptualizing and inaugurating hospitality for transnationalism. Shortly after World War I Mexico successfully expropriated the petroleum lands and the drilling, pumping, and refining equipment of all the oil companies which had invaded Mexico without any official permission other than corruptly obtained 'licenses.'

Transnationalism vs. Colonialism (3)
← Transnationalism vs. Colonialism (2) | Transnationalism vs. Colonialism →
Index Entry
Transnationalism vs. Colonialism:
"With the U.S. population arms-wearied by its World War I 'saving of democracy,' American big business was unable to excite American democracy's resentment for their plight and thereby protection of their 'rights' by intervention of USA armed might as in the past patterns of colonialism. Historically, colonialism's democratic ideals camouflaged their exploiters might-enforced, special-interest-advantaging, economic stratagems. Moreover, Mexico said to America and Europe: 'Stop dumping your worn-out automobiles in our country. We will not accept imports of either your new or secondhand automobiles or other products. We would be glad to have your Buick, Ford and Mercedes, but you will have to set up manufacturing plants of your products in Mexico and do so entirely at your own expense. You will have to give Mexico and Mexicans stock interest in your enterprise. In effect, your plant machinery, being immobilely on Mexican territory, it will belong to us. As long as you're manufacturing those cars in our country on a successful basis, and are paying us dividends, using our resources, giving us excellent transportation (or other end-products or services) we will be glad to have you profit by your portion of your enterprise shares. But you, General Motors, Ford, Mercedes-Benz, et al., will have to'"

Transnationalism vs. Colonialism
← Transnationalism vs. Colonialism (3) | Transnationalism vs. Colonialism →
Index Entry
Transnationalism vs. Colonialism:
"obtain the chemical element resources necessary to your manufacturing which are not available in our country and will have to bring them to us from wherever they may be. You will have to use the physical resources of Mexico whenever and wherever they exist and above all, you will have to bring world import and export advantage to us."
"General Motors and Ford suddenly found this highly profitable, as had also, long years earlier, Singer Sewing Machine and others.
"This is the major pattern of transnational industrialization. Thus the transnationalized corporation no longer needs Army or Navy from its country of origin to protect its on-foreign-soil interests because wealth has been brought to the small country, wherefore the small country inherently protects the transnational corporation. Transnationalism is nor being participated in by the communist countries as well as the industrial majors. The net of all this is that colonialism took physical wealth away from the weaker country and left people in ignorance while transnationalism brings both physical and metaphysical 'know-how' wealth to the weaker country, thus increasing the minor nations' wealth and literacy quite independently of ideological factors."
- Cite "Lvening of the World's Power Structures," p.33, 10 Apr'74

Transnationalism vs. Colonialism
← Transnationalism vs. Colonialism | Transnationalism vs. Colonialism →
Index Entry
Transnationalism vs. Colonialism:
"Colonialism took away the physical and returned the physical in rearranged ways. Transnationalism trades in metaphysical know-how.
"Along with its integration of world industrialization, transnationalism has also developed its own world-around intramural economic accounting facility which overflys the local, national controls and their respective currencies and tariffs. Vast, computer-facilitated, omni-world-operation accounting of the major transnational industrials is now being accommodated in a major way by the great American and European banking corporations themselves going transnational. In effect, American banks have taken American depositors' funds to expand themselves into world organizations and, together with the transnational corporations' financial managers, have used American dollars around the world to buy the world's gold in the world markets outside the United States as permitted by the recent U.S. presidential rescinding of a 40-year-long federal law that monetary gold could not be privately owned.... Altogether this flight of gold and its acquisition by the new transnationalism and the Arabs, who finally wrote the death warrant of petro-colonialism, has resulted in the world's international import-export trade balance being divested of any serious meaning."

Transnationalism vs. Colonialism
← Transnationalism vs. Colonialism | Transnational Transnationalism (1) →
Index Entry
Transnationalism vs. Colonialism:
"With the largest amount of the world's petroleum energy supply in Arabia, and with the Arabs' conversion of their paper dollars to gold, there came about a natural marriage of interests of the oil capitalism and the supranational managerial capitalism. The oil is inherently exhaustible but the know-how of management can only increase.
"While all this was accomplished by self-survival astuteness of the banks and transnational corporations, retrospectively it constitutes the greatest economic upheaval in history. It amounts to taking away from the sovereignty-locked-in world's humans all their life-support equity chips and transferring that wealth to the transnational corporations and Arabs for a total heist which is equal to 18 trillion of the USA's present Nix-dollars."
Cite "Evening of the World's Power Structures," pp.35-36

Transnational Transnationalism (1)
← Transnationalism vs. Colonialism | Transnational Corporations: Transnationalism (2) →
Cross Reference
World Corporation
Desovereignization
Cross-References

Transnational Corporations: Transnationalism (2)
← Transnational Transnationalism (1) | Transparent →
Cross Reference
Cross-References
- Desovereignizations Sequence, (3)
- Mobile Rentability vs. Immobile Purchasing, 20 Sep'76
- Disarmament, (1)
- Technology: Enchantment vs. Disenchantment, (4)

Transparent
← Transnational Corporations: Transnationalism (2) | Transplants →
Cross Reference
Cross-References

Transplants
← Transparent | Transportation (1) →
Cross Reference
Cross-References

Transportation (1)
← Transplants | Transportation (2) →
Cross Reference
Cross-References
- Omnimedia Transport
- Trolley System for the Whole Earth
- Air Delivery & Submarine Cities
- Airplanes vs. Railroads
- Man's Increasing Deployment Pattern
- Radius of Man's Locomotion

Transportation (2)
← Transportation (1) | Transuranium Elements →
Cross Reference
Cross-References
- Population Density: Manhattan Jet Dispersal, 30 Mar'73
- Houses & Infrastructure, 20 Sep'76

Transuranium Elements
← Transportation (2) | Transuranium Elements →
RBF Definitions
"....These alternate structural symmetries constitute typical positive or negative, non-mirror-imaged intercomplementation and their systematic, alternating proclivity which inherently propagate the gamut of frequencies uniquely characterizing the radiated entropy of all the self-regenerative chemical elements of Universe, including their inside-out, invisible negative, Universe-provokable, split-second-observable, imports of transuranium, non-self-regenerative chemical elements."
- Citation & context at Cube & VE as Wave Propagation Model, 23 Feb'72

Transuranium Elements
← Transuranium Elements | Trans-vector-equilibrium Configurations →
Cross Reference
Cross-References
- Nonself-regenerative Superatomics

Trans-vector-equilibrium Configurations
← Transuranium Elements | Trap of Dismay, Fear & Negativism →
Cross Reference
Cross-References

Trap of Dismay, Fear & Negativism
← Trans-vector-equilibrium Configurations | Trap →
Cross Reference
Cross-References
- Myopia: Incasting vs. Broadcasting, 22 Jan'75

Trap
← Trap of Dismay, Fear & Negativism | Travel in a Human Lifetime (1) →
Cross Reference
Cross-References
- Inventions thatrease the Degrees of Freedom, Dec
- Self-entrapment
- Energy Traps

Travel in a Human Lifetime (1)
← Trap | Travel in a Human Lifetime (2) →
Cross Reference
Cross-References

Travel in a Human Lifetime (2)
← Travel in a Human Lifetime (1) | Travel (1) →
Cross Reference
See Up & Down Sequence, (1)
Cross-References
- Up \& Down Sequence, (1)

Travel (1)
← Travel in a Human Lifetime (2) | Travel (2) →
Cross Reference
Cross-References

Travel (2)
Cross Reference
Travel:
Cross-References
- Flight, Oct'73

Trees (1)
Index Entry
Trees:
"Nature designs the most efficient (ergo beautiful) structures, for instance, great trees. Let us examine the structural effectiveness of nature's tree design. Make an experiment. Take a suitcase in each hand, each weighing about 50 pounds. Try to hold them out horizontally at arm's length. It's easy for our arms to hang them vertically from our shoulders; but the more horizontal, the more difficult. It is almost impossible to hold 50 pounds out horizontally.
"Yet look at a tree's shoulders where the branches are attached. Look at the branch of a tree with the same girth as that of your shoulder when your arm is extended and muscles flexed. Such a tree branch may weigh 500 pounds-- 10 times what you can hold out horizontally.
"'Wing root' is the aeronautical engineering term for 'shoulder,' for example, the wing root between the fuselage of an airplane's airframe and the jet-pod-carrying aluminum wing structures, which wing roots contain the mainspar. These air transport wing roots accomplish almost incredible tasks with incredibly low weight ratios. However, holding five and more ton branches"

Trees (2)
Index Entry
Trees:
"out horizontally, while yielding streamlinedly and flexing gracefully without breaking in great winds as do the trees in a design accomplishment unparalleled by aeronautical engineering even in the wing roots of jumbo jets and supersonic fighters. How can a tree do that? Biological structures cope hydraulically with all compressional loaeings....
"The paramount function of trees is to expose as much leafage as possible under varying wind conditions in order to photosynthetically impound the Sun radiation, with which by a complex of relationships with other biologicals to support life on our planet, since few of the mammals can directly convert Sun-energy into life support. Since the function of trees requires maximum leafage exposure, its progeny will prosper most when planted outside the shadow of its parent. Each tree seed is a beautiful flying machine designed to ride the wind until reaching propitious soil. Because few seeds will find propitious sites in this random distribution system, the tree launches many thousands of seeds. These seeds contain the geometric design instructions for associating the locally available resources of air, water, and the locally available"

Trees (3)
Index Entry
Trees:
"soil and rock chemistries' atoms in the environs of the seed-landing. The seeds contain coded programs for associating local atoms in triple-bonded, ergo high-tensile capability crystal structures, which when triple-bonded with others, produce the long overlapping fibrous sacs to be filled with local water and air derivatives.
"These close-packed, liquid-filled, fibrous sacs compound to produce first the tree's root 'wood.' What nature ships in the seeds are the DNA-RNA coded instructions on how to utilize the resources of locally occurring water, gases, and chemical elements at the seed-planting site. These high tensile fiber sacs are filled with liquid sap, developed from water brought in through the roots by osmosis and one-way capillary valving of the hydrogen and oxygen-laden water out of the ground to combine with the carbon- and oxygen-laden gases of the atmosphere as produced by mammals and other biological organisms, and by the photosynthesis of Sun radiation, whereby the tree's leaves combine the hydrogen and carbon atoms to produce the hydrocarbon, crystal-built cells of the tree, while giving off the oxygen atoms to the atmosphere, with which the mammals' growth"

Trees
Index Entry
Trees:
"will be respiratorially sustained.
"Enormous amounts of water are continuously elevated through the one-way, antigravity, capillary valving system: the tree feeds the rain-forming atmosphere by leaking atomized water out through its leaves, while all the same time sucking in fresh water through its roots. The tree's high tensile, fiber cell sacs are everywhere full of liquid. Liquids are noncompressible, yet distribute their local stress loadings evenly in all directions to all the enclosing high tensile fibrous sacs. The hydraulic compression function fills out firmly the predesigned overall high tensile fiber shaping of the tree. In between the liquid molecules nature inserts tiny gaseous molecules which are highly compressible and absorb the tree's high shock loadings, such as those from hurricane gusts. The branches can wave wildly, but rarely break off unless dehydratively dying, which means losing their hydraulic, non-compressible, load distribution's integrity. Sometimes in an ice storm the tree freezes, the liquids cannot distribute their loads, and the branches break off and fall to the ground."

Trees (3)
Index Entry
Trees:
"With the liquids distributing loads and the gases absorbing
shocks, and the predesigned (DNA-RNA) overall high tension
crystalline tension fiber network (like a football skin) control-
ling the overall tree (or other biological) shapes to be produced
(when filled out with the liquids), we find the system transmit-
ting its hydraulic load distribution impulses through each
liquid-filled cell's contacts with adjacent liquid-loaded sacs.
"Starting with one tetrahedral bud shoot, the tree grows as a
series of concentric tetrahedral cones--revolved tetrahedra
generate cones. Constant reorienting of the direction from
which the Sun radiation is coming, and the frequent shift in
wind direction and consequent drag forces on the tetra-tree,
produce a conic revolution effect on the tree growth. Each
year a new cambium-layer cone grows over the entire outside of
the previous year's tetra-cone. Each branch of the tree also
starts as a tetrahedral-shoulder-cone sprouted out from the
main cone.
"This high-tension sac's web design with its hydraulic-compress-
ion coping and pneumatic shock absorbing is much the same
structural system nature employs in the design of humans."
- Cite RBF Intro. to H. Kenner's "Geodesic Math," p.27, 8 Sep'75

Trees (1)
RBF Definitions
To be sure, the liquid does not freeze under average environmental conditions: nature creates a 'good health' temperature control of 98.6° F for all its humans. Instead of the progressively larger tetra-cone form over which the tree builds from the roots outward into successive live layers, nature introduced the skeleton in the mobile mammals, all around which their hydraulically-actuated muscles and cushioning cells are crystallinely grown as scheduled by the DNA-RNA program thereafter to be automatically operated by genetic coding." - Cite RBF Intro to "Geodesic Math," H. Kenner, p. 27, 8 Sep'75

Trees
Index Entry
Trees:
"Whereas man builds all of his buildings with compressional strategies and all engineering analysis is in terms of compressional continuity of the old stone-on-stone, nature doesn't do any of her compression work with crystallines or solids. She uses them only in tension because the crystalline has the most bonding, therefore the best in tension...
"Nature does all of her compression just as in a tree. You take a beautiful but fairly small tree-- with its branches out-- and its wing root would be just about the same size as your shoulder. You will find that whereas you can only hold possibly 30 to 40 pounds out horizontally, this tree is holding out a thousand pounds. And we get to a big tree with many tons out there, holding this thing out with all the great winds and the hurricanes: How can it do such an extraordinary task?
"It goes back to the tetrahedron, the simplest structural system in Universe. Where you associate tetrahedra just corner-to-corner there is a mass interattraction occurring, but they are free to move as in a universal joint. Tetrahedra fastened corner-to-corner would fill a whole lot of space, but with enormous spaces in between them. Because there is so much"

Trees
Index Entry
Trees:
"space they are so flexible and you can really fold the mass back into its own self. This is the way gases are: the simplest bond you could get. They are the least coherent this way and highly compressible because of the flexible joints and the way they could be folded back on themselves. The flexible joints illustrate pneumatics where all the loads are very evenly distributed.
"Then we come to the same tetrahedra, but with two bonds. They can be edge-bonded, or hinged. In engineering you call that hinging and the loads are still flexibly distributed. And if you put all the tetrahedra together edge-to-edge you suddenly find that you have what we call the octahedron-tetrahedron truss. The interstices between the tetrahedra will be octahedra and they are structural systems. They are eight triangles. And so they do not flex. They are noncompressible; and they are like the liquids, being hinge-jointed and the loads are distributed with all the characteristics of liquids.
"Then we get to three joints and suddenly we have the crystalline and there is no flexibility in here at all and so no loads are"

Trees
Index Entry
"being distributed. This is very good because the three bonds are tensionally much stronger than two bonds. One bond to pull apart in the pneumatics; two bonds to pull apart in the hydraulics; and three to pull apart in the crystalline.
"So we find nature-- in designing a tree-- sending a seed bouncing into the sky. Because the tree is rooted and can't move, it has to get that seed out from underneath its shadow so the seeds can function as radiation impounders. And what goes into the seed is the strict instruction for the crystalline development. And crystals do grow; so the crystalline build the fibers-- and everything that is crystalline in the tree is the fibers to enclose the liquids, which are doing all the compression. And the liquid sac continuities are valved by osmosis. Water can only go one way, so it keeps being pulled in by the roots, keeping it hydraulically pumped up. Then the waters get going out at the top a little less rapidly that they're coming in at the bottom, so it keeps the pressure up. So we have the crystalline acting in tension as a sac and in between them we get water molecules which act as the springs to take the shock loads. So you see then how this beautiful great tree is able to"

Trees
Index Entry
Trees:
"take enormous wind shock loads. They gases are contained, but yet they distribute the loads. The minute you freeze the tree up-- off goes the branch! Because it can't distribute its loads.
"This is very much the way nature has designed you and me... using this water to distribute the loads. And that's why we have to have this 98.6 degrees so we're not going to freeze up. And there are very limited conditions where the humans and the trees really can operate, but nature is able to do it on board of our planet within the biosphere. Hydraulics are a very good way... they are incredible!
"Whereas man-- in the Stone Age-- would go through millions of years in compression. Even though masonry has an ultimate, or limit, compressive strength of about 50,000 pounds a square inch, while masonry in tension is only about 50; so it's been built 1000 times stronger to resist in compression than in tension. And that's the way man learned to pile that stone up....
"So I began to see that this hydraulics and pneumatics-- the crystallines-- had never been in the building arts at all. And so I've gotten into tension continuities with tensegrity structures!"

Tree
Index Entry
Tree:
"A tree is a fantastic design. It has roots to get the water out of the ground in a one-way osmosis system that gets the water back in the sky so it can rain again and water the roots."
- Cite RBF quoted by Tina Jeffrey in Newport News Daily Press, 1 Apr'73

Tree
Index Entry
Tree:
"Seen in their sky-returning functioning as recirculators of water, the ecological patterning of the trees is very much like a slow-motion tornado: an evolving-involuting pattern fountaining into the sky, reaching outwardly, downwardly, and inwardly again once more to recirculate and once more again-- like the pattern of atomic bombs or electromagnetic lines of force. The magnetic field relates to this polarization as visually witnessed in the Aurora Borealis."
- Citation and context at Ecology Sequence (2)(3), 16 Feb'73

Tree
Index Entry
Tree:
"I looked on a tree as beautiful when I was a little child. Now I can see why that tree is designed the way it is. As a comprehensive anticipatory design scientist I understand why that tree is there, what its relation to me is. I really feel it too. It's not something superficial to draw a picture of. I really feel how it's handling the wind and the rain and what it's doing. It's a beautiful mechanism. Fantastic technology. You try to pick up a bucket of water, hold it out at arm's length. Suppose it weighs 50 pounds. You can't hold 50 pounds horizontally. And this tree is holding out a branch that weighs five tons-- horizontally. And it's able to handle a hurricane and not get into trouble, and with all those leaves. Quite a piece of design. And I know exactly how it's done. I began to design like that."
- Cite Rasa Gustatitis quoting RBF, in WHOLLY ROUND, (H,R&W, NY), p. 160, Feb'73

Trees
Index Entry
Trees:
"Nature employs the three phases of association-- as liquids, crystals, and gases-- to very great account, assuming their low distributing capability. Nature wanted to build something very extraordinary such as a tree. Then the trees have a function: transforming energy for you and me; being rooted and pulling water through it... The impounding ends of you me have no roots. Trees and vegetation have roots so they can be watered. We have this enormous amount of water being pulled through them by osmosis all the time... And I give you the tree having to have its own young out from under its shadow. Launching all those seeds,hoping they would land in a favorable place. When sending off the seeds nature counts on there being local gases, which amounts to air, and liquids available. She sends only the tensile blueprint in the seed. And part of this is crystals and crystals we know will grow. So the crystals are going to grow and give you more local tensiles.
"You have all tried picking up great weights and holding it vertically. It's easy to carry this way, but you try to hold that suitcase out horizontally and it's approximately impossible."

Trees (B)
Index Entry
"We see a great tree with its beautiful limbs going out horizontally and the wing root is really pretty small. You weigh one of those branches, sometimes they go up to five tons. You find you have trouble holding 50 pounds out like that. Just try holding five tons out like that. You've got quite some structure all in a relatively small amount of space. And nature does that. And when a great storm comes along she is able to sway and yield and not break. If you have a great ice storm then off comes a branch. Nature then sends that crystalline seed and the crystal increases, making more and more of the fibers. And they are triple-bonded; therefore, they have a high tensile strength. And the crystals give all the tensile strength and it encases the hydraulic. The hydraulics have flexibility; they distribute the load so beautifully. But they are noncompressible. Between the molecules of the liquids are molecules of gases; and they are compressible and they take the shock load. So the great branch holding out its load does not deform, due to hydraulics being noncompressible. It's distributing its load superbly. And it's held together in the most high tensity we have-- which is the triple-bonding of the crystals. And then when the wind blows and the gas molecules in there yield to allow it to do this, despite the noncompressibility of the liquid. So the
- Cite Univ. of Alaska Address, pp.26-27, 20 Apr '72

Trees
RBF Definitions
great firmness in the tree is in the liquid. I spoke about the high tensile strength in our steel, but Wait all of our building is still crystalline except where we use wood-- and we find that it works and is very beautiful to start with."

Tree
Index Entry
Tree:
"Goethe spoke of trees as waves."
- Citation & context at Redundancy: Reduction Of, 22 Apr'71

Trees (1)
Index Entry
Trees:
"Now it is time for me to say something about wood's lessons to us as they relate to the design science revolution which, through invention, can increase capabilities and efficiencies to the point that will guarantee success to all men. If we really try to do more with less then nature has some extraordinary things to teach us when we study the structure of the tree.
"First, let me say there is nothing in nature but structure. Still, I find in engineering and architectural schools with all of their specialization that there are always courses in materials. In these courses it is taught that buildings are built out of materials, but I find from my experience that this is not the case. What we in fact do is to build visible module structures out of invisible module structures. We have nothing but structures. We have microstructure and macrostructure, but there is nothing but structure. If we look carefully and see what nature is actually doing, what is her patterning, what is her structuring, then we can begin to develop very high capabilities."
- Cite Syracuse Address, Pp. 54-55, 7 Nov '67

Trees (2)
Index Entry
Trees:
"I find that man has thought structurally in what I would call compressional logic, whereby he piles stone upon stone to make a building. In that kind of building you find that tension was only a secondary helper and compression was the primary logic employed. This is to say that I find many thinking spontaneously in compressional-- might makes right-- logic. I found that nature was not using that logic. In our solar system the Earth is not touching and ball-bearing around the Moon's surface. And in the atoms the energy components are equally remote from one another. In the atom the electron is as remote from the proton in the microstructure as the Earth is from the Moon in our planetary macrostructure. In terms of relative diameters, we still have the same kind of celestial attraction that we have in the microcosm. There are no 'solids,' just as there are no 'materials,' but there are sufficient relative proximities of these masses which are enough to cohere; just as the Earth's mass is enough to have it held to the Sun even though they are 92 million miles distant. I find that nature is here using continuous tension and discontinuous islanded compression."
- Cite Syracuse Address, Pp. 55-56. 7 Nov '67

Trees (3)
Index Entry
Trees:
"These are clearly differentiated tension-compression structures which I call tensional integrities, or tensegrity, structures. This, as we shall see, is exactly the structure of the tree.
"Tension and compression are complementary functions of structure. Therefore, as functions they only coexist. . . .
"The tree has an excellent structural lesson to teach us in the efficiency of its tensegrity structure's clearly differentiated tension and compression patternings. . . Ancient man, wanting a spanning procedure used wood. Wood has 100 times stone's ultimate tensile strength, or about 5,000 p.s.i. But the wood beams eventually rotted out or burned, which is why today we find only the vertical stone compressive elements of antique man's great building ventures. . . . Clearly we see that compressive capability has to be augmented to match our high tensile ability.
"It is the tree that can teach us this for nature has a very great trick in relation to all of these structural strategies."
- Cite Syracuse Address, P.57-59, 7 Nov '67

Trees
Index Entry
Trees:
"In 1885 the scientist, van't Hoff, demonstrated to organic chemists that all organic chemistry is tetrahedronally configured. Consider molecules as tetrahedra and those tetrahedra joined vertex to vertex. A constellation of tetrahedra linked together entirely by such ine vertex or universal jointing, which is called single-bonded, uses lots of space and is very characteristic of the gases. .. Tetrahedra joined by two vertexes line up to what engineers call a 'hinge.' ... When tetrahedra are attached to one another by three vertexes they are triple-bonded. .. "
"How does the tree do its extraordinary work? The tree has to impound all that Sun's energy with all of those leaves. It has to expose an enormous amount of leaf structure in order to be able to do so and still not dry up. To do this nature has the tree water-cooled, sending its roots deep into the ground to find the water to pump through its cooling system. These deep roots also give the tree its great stability to resist the forces of its great branches and leaves waving around in the wind. If you take a 50 pound load, such as a bucket of water, you are able to hold"

Trees
Index Entry
Trees:
"it vertically at the end of your arm, but if you try to elevate the bucket toward the horizontal it becomes more and more difficult. You can't really hold it out there. Because your arm is a pretty good size this makes you appreciate what the tree is doing with what is called the branch root into the trunk, Although relatively small, this area is sometimes sustaining a branch eight of more then two tons, compared with the 50 pounds with which you were struggling. And the tree is able to do this in winds of hurricane velocity and wave those tons around and still not have the branch break off. In the airplane we call that joint the 'wing root' at the point where the wing comes to the fuselage. The greatest stresses experienced by flying a plane are at the wing root. Some of the great tree branches are cantilevered out from their branch roots as much as 40 feet. How can you possibly make such a structure as that?"
"The tree uses extraordinary structural strategies both in the tension and compression of its tensegrity patterning."
- Cite Syracuse Address, p. 60, 7 Nov '67

Trees
Index Entry
Trees:
"The tension is entirely in continuous sheathing of compression-resisting liquids and shock-absorbing gases. The tension strength in the sheathing fibres comes from getting those masses of atoms closer and closer to each other and thus exerting greater and greater attraction to each other. As they get closer the fibre gets stronger. If examined under a microscope those overlapping fibres are exactly analogous to the Milky Way. One Milky Way approaches another Milky Way and the attractions between their masses becomes enormous. The series of fibres actually overlaps so closely as to act as one great fibre. . . .
"In compression, licuids are completely noncompressible, and because they are also completely flexible, they distribute the load evenly all over the system.
"This is just what the tree does. She does all of her compression in hydraulics, and in between the hydraulic or liquid molecules, are little gas molecules. They are single-bonded tetrahedra and therefore highly compressible. The gas molecules give springiness and absorb shock. They are smaller than the liquid elements and fill the tiny"
- Cite Syracuse Address, Pp. 60-61, 7 Nov '67

Trees
Index Entry
Trees:
"spaces between them. An effective analogy would be oranges in a pile in closest packing. Think then of the hydraulic molecules as the oranges with the gas molecules filling in the tiny corners between them. So the shock loads on the tree are taken in the gases and the hydraulics give it its firmness and its strength. I would say that we're probably going to see an age of high hydraulic-compressive capabilities coming in to balance man's advantages of already high tensile capabilities.
"I'll just point out to you that out tree is the greatest structure I know. That's why if man continues to use wood in a dried state, we shall continue to lose its greatest strength. Incidentally, in order to have more trees regenerated, there cannot be a tree underneath another tree because the new tree wouldn't get enough Sun to sustain it. So nature has the tree produce seeds and the tree ships a pattern in the seed which goes off by the wind and the waters to get implanted where there will be available the new life's regenerative needs. Trees are regenerative. Man can actually profitably cut them down and replant them,"

Trees
Index Entry
Trees:
"spread so that each one will thrive to advantage. This structure is built and rebuilt. Nature is continually giving man new structure which seems to be very, very important.
"These new structures are part of Planet Earth's income, and I think we're going to have to learn to live on income."
- Cite Syracuse Address, Pp. 61-62, 7 Nov '67, Also titled WOOD DESIGN IN A DYNAMIC TECHNOLOGY

Trees (1)
Index Entry
Trees:
"Now let me discuss ways in which we might think about nature's logistical strategy in an accomplishment of most economical world-around structuring as disclosed to us within the narrow limits of immediately visible nature. Let us use the tree as an example. Trees are substantial organic structures, and they frequently last for many years more than do men or birds or fish or the contrived dwellings or nests of men or other mobile life. Some trees stand for more than a thousand years against great storms and earthquakes. While man and birds and fish are positionally mobile, trees are not. Trees are only locally flexible. And yet trees spread their population around the world. The way they do this is by means of their seeds which they place in beautiful little flying machines. The maple tree's seeds, for example, float around in the winds and come fluttering down like little helicopters. The winds carry these seeds so that by successive generations trees are able to go airborne into new locations around the world. Thus are accomplished the world's pine tree belt, and other world-girdling tree belts."
- Cite R.EPES, pp. 84-85. 1965

Trees (2)
Index Entry
Trees:
"Let us consider the logistics nature uses in building and distributing such a lasting structure as a tree. We find that in the seed nature provides a blueprint pattern tightly folded up in a triangular tension grid."
- Cite KEPES, p. 85.1965

Trees (3)
Index Entry
Trees:
"So nature, in arranging for one tree to build another tree, makes up a folded, tight blueprint in a tension network grid and folds it into a tight package: a seed. When the seed comes to rest, nature then provides the means for expanding the tree pattern by means of locally available compression components developed from the local water and air. Water is highly noncompressible-- our powerful hydraulic pumps exploit this-- so when nature builds a tree, she takes the blueprint of the seed and begins to pump it up, full of locally available water. She then develops regenerative patterns, using the inhibition of more and more local waters. More water is needed because so much keeps leaking out, through the process known as osmosis.
"It is the noncompressibility of the water which makes for that great sturdy stiffness of a tree also permitting a tree trunk to hold out a branch weighing from ten to 25 tons to be waved flexibly in the wind. How can it wave in the wind? Because in between the molecules of non-compressible water, nature pushes in little packages of air, little spheroids. Air is highly compressible (as in
- Cite KEPES, pp.85-86, 1965

Trees
Index Entry
Trees:
"pneumatic tires), so the little molecules of air compress like an automobile tire, allowing the branch to wave.
"Nature's great trick in making trees is to distribute tensional blueprints which regenerate the pattern locally, employing the compressions of local gases and local waters, enclosing tem in beautiful tensional skins of the molecules themselves. This is nature's major strategy of efficient energy utilization in the distribution of structures."

Trees
← Trees | Tree Rings of Experience →
Index Entry
Trees:
"The microscopically observed structures of 'worked' steel and tree trunks are, alike, comprised of myriads of sausage-balloon-fibrous units."
- Citation and context at Colloidal Chemistry,1938

Tree Rings of Experience
← Trees | Trees: Invisible Growth Of →
Cross Reference
Tree Rings of Experience:
Cross-References
- Humans, May'49
- Cyclic Bundling of Experiences, May'49

Trees: Invisible Growth Of
← Tree Rings of Experience | Trees: World-Around Colors of Trees →
Cross Reference
Cross-References
- Buildings as Machines, (1)
- Motion, 12 Jun'69
- Optical Motion Spectrum, (3)

Trees: World-Around Colors of Trees
← Trees: Invisible Growth Of | Trees vs. Humans →
Index Entry
Trees: World-Around Colors of Trees:
"So powerful are the climatic pigmentation effects
Of the tropic to arctic
And sea-level to mountaintop
Sun radiation angling
Temperature and humidity differentialings,
That the coloring
Of the world's hardwood trees
Ranges from Northerly mountainside
White and pink woods
Through torrid zone yellows and reds
To tropical teak grays
And dark brown mahoganies
To equatorial jungle ebony blacks.
"These fundamentally dominant inbreeding effects
Are not contradicted
By exceptional cross-breeding cases
Amongst humans and trees
Produced by the world-around seed blowing
And the vast waterborne shuttling of sailors."
- Cite NO RACE-- NO CLASS, 1 Aug'72

Trees vs. Humans
← Trees: World-Around Colors of Trees | Tree As An Invention →
Cross Reference
Cross-References

Tree As An Invention
← Trees vs. Humans | Trees (1) →
Index Entry
Letter from Charles D. Stewart in "Shelter," p. 129. Nov'32
(This Stewart citation supplied by Hugh Kenner, 29 Jun'72.)

Trees (1)
← Tree As An Invention | Trees (2) →
Cross Reference
Pine-tree & Palm-tree Belts
Cross-References
- Fountain Pattern
- Lever: Fallen Tree as a Lever
- Load Distribution
- Lumber
- Organic Model
- Pine Tree
- Roots
- Seeds
- Wood

Trees (2)
← Trees (1) | Trend: Trending (1) →
Cross Reference
Cross-References
- Crystallines, 9 Dec'73
- Ecology Sequence
- Ecological Pattern, 19 Sep'64
- Information, 12 Feb'72
- Lags, (1)
- Pneumatic-hydraulic Structures, 22 Aug'70
- Redundancy: Reduction Of, 22 Apr'71*
- Wood Technology, (1)
- Wind Stress & Houses, (7)
- Ice, 29 Apr'77

Trend: Trending (1)
Cross Reference
See Charts: Curves & Trends
Spherical Trending of Events
Cross-References
- Charts: Curves \& Trends
- Charting Alternating Experiences of Man & Nature
- Dymaxion-concept-trend-history
- Idea Trending
- Invisibility: Trends to Invisibility
- Progressions
- Intervariable Sequences
- Sequence: Sequential

Trend (2)
← Trend: Trending (1) | Trends →
Cross Reference
Navy: Theory Of, 22 Dec'74
Cross-References
- Human Events, Feb'71
- Irreversibility, 25 Mar'71
- Mathematics, 13 Mar'71
- Dymaxion Outset
- Periodic Experience, (1)
- Life, May'49
- Improvement, May'49
- Servomechanism, 15 May'75
- Quantum Sequence, (1)
- Out-lining, 22 Mar'76
- Teleology, (2)
- Domes, 12 May'77

Trends
← Trend (2) | Trespassing: Not Trespassing →
Cross Reference
Trends: Checklist:
Macro→ Macro
East-to-West Trends
Cross-References
- Darwin's Evolutionary Trends
- Ephemeralization Trends
- Evolutionary Trends
- Measurement Trends
- Heisenberg-Eliot-Pound Sequence
- Science-Technology-Economics-Politics Sequence
- Ninety-two Elements: Chart of Rate of Acquisition
- Industrialization: Curve Of
- Industrial Revolution: Profile Of
- Industrialization: Successive Halving Time of National Industrialization
- Sea Technology Conversion to Land Technology
- Truth-trends
- Word Trends

Trespassing: Not Trespassing
← Trends | Trespassing: Not Trespassing →
Index Entry
Trespassing: Not Trespassing:
"Number one consideration
on the part of the design scientists
is the question:
What can and may the individual human do
on behalf of other humans
that will not trespass on any humans
nor frustrate any of the regenerative integrity of the omniecology?
What do I have the right to do
that is going to affect other people?
"When I can see, but you don't,
that something is going to fall on your head
and I jump to pull you out of the way
just as the thing crashes on the floor,
I don't think I am trespassing on you.
You might say:
"Well, I wanted to die."
And I reply:
"That has to be your option.
You didn't know that there was such an option;
I did, and had no time to tell you of it.
If you want to jump out the window that's your option."

Trespassing: Not Trespassing
← Trespassing: Not Trespassing | Trespassing Not Trespassing →
Index Entry
Trespassing: Not Trespassing:
"The point is that if I see something that is going to be fatal or damaging to you or on the other hand might be of great advantage to you if acted upon in time of which your experience has not made you aware, then as a design scientist I have the cosmic responsibility to prevent those debilitating conditions and to realize on your behalf the advantageous potential which could no longer have been realized when you too learned that there had been such a potential.
"There are many advantages for you I or others can secure on your behalf that you don't know about.
"I must always be sure I am increasing your elective freedoms. Your life can be capitalized as the number of hours you will probably live. How many of those hours are really free? You will find that a great many are preoccupied In the chemical process you and I; there are a great many involvements in this process and"

Trespassing Not Trespassing
← Trespassing: Not Trespassing | Trespassing: Not Trespassing →
RBF Definitions
"relatively few of them that we can actually direct. So I must-- as a design scientist-- increase the proportion of your total life that is at your disposal. I must reduce the restraints. I must reduce the number of negative restraints set upon you by circumstances and increase the number of your favorable electives. For instance, if you would like to speak with someone at a great distance away, If I design and install a telephone where you may be you now have the option to communicate without spending much time in getting from here to there. You don't have to use the telephone; but if you want, it's there. I will make available, then artifacts that make it possible for you to do what you want or need to do and try continually to increase the magnitude of your effectiveness while always reducing the restraints upon you and saving you hours."
Citations
- Universal Requirements for a Dwelling Advanatage, 31 May'74

Trespassing: Not Trespassing
← Trespassing Not Trespassing | Trespassing: Not Trespassing →
Index Entry
Trespassing: Not Trespassing:
"All environment controls deal with the locally convergent events of Universe which impinge upon you from outside you and all the events which impinge upon you from inside. There are all kinds of magnitudes and frequencies. The biggest ones are least frequent and the lesser ones more frequent. They are on a quantum wave basis of absolute regularities. I want to be able to provide what you want when you want it.
"I don't try to insulate; I provide automatic means of intercepting and shunting angularly into holding patterns for further usability; The intercepted energy or materials to be valved by you into your presence in the magnitudes and frequencies most favorable to you while being effectively considerate of all the ecological sustaining contingencies.
"Environment controlling artifacts consist essentially of"

Trespassing: Not Trespassing
← Trespassing: Not Trespassing | Trespassing: Not Trespassing →
Index Entry
Trespassing: Not Trespassing:
"structures and machinery. Mechanical advantaging environment controls consist of lever complexes. Gear trains and turbines are lever complexes.
"There are optimally efficient structural strategies for providing the most advantageous environment control. We must be able to let whatever we want in from any direction. We must think of our controls as omnidirectional. We must be able to get in and out in any direction with least effort. We must be free to go in any direction we want. We need an omnidirectional shutterable sieve where we can increase or reduce the magnitudes of our omnidirectional environment valve openings.
"Since we wish to be able to see in any direction and likewise to be able to obscure in any direction, we recognize that it is difficult to make an opaque wall transparent but it is very easy to opaque a transparent wall by curtaining and shuttering.
"Our structures must be considerate
- Cite Universal Requirements for a Dwelling Advantage, 31 May'74

Trespassing: Not Trespassing
← Trespassing: Not Trespassing | Trespassing: Not Trespassing →
Index Entry
Trespassing: Not Trespassing:
"of all human requirements
from those of the newly born child to those of the most aged."
- Cite Universal Requirements for a Dwelling Advantage, 31 May'74

Trespassing: Not Trespassing
← Trespassing: Not Trespassing | Trespassing: Not Trespassing →
Index Entry
Trespassing: Not Trespassing:
"I think the first thing I ought to do then, thinking about the environmental events that are going to impinge on human beings. . . and also setting up another discipline which was related to it: Whatever I must do on behalf of my fellow man must never trespass on my fellow man. That is, I must never increase restraints on him; I must reduce restraints on him. I must free more of his time of his life to his own decisions.
"I could say: What do you mean by 'not trespassing'? . . . And I could get that pretty well defined. So I said: there's this man and you didn't know him, so I just jump over here and quick react. I saw that something was falling from the ceiling and was going to hit you in the head. And you'd be killed. And I didn't have time to say anything. So I just went likethat to grab you and knock you over to get you out of the way. And you say: I wish you hadn't done that. And I say: Why? And you say: Well, I wanted to die. And I say: Well, you've got to make that decision. I do not think I'm trespassing on you when I give you the decision whether you're going to die. Clearly I'm not trespassing if I see something's going to kill you that you don't know about and I do something"

Trespassing: Not Trespassing
← Trespassing: Not Trespassing | Trespassing: Not Trespassing (1) →
Index Entry
Trespassing: Not Trespassing:
"about it. I do not consider that as trespassing. And then I went from there on and it was quite easy to find out how and what you could do. And also that you would have to be considerate m of the complex ecological balances all the time. You must not be a deliberate changer of the fundamental balance. You don't know enough about it. You must be responsible about the recirculations."
- Cite RBF lecture at Wistar Inst, EJA transcript p.10, 19 Feb'73

Trespassing: Not Trespassing (1)
← Trespassing: Not Trespassing | Trespassing: Not Trespassing (2) →
Index Entry
"I've got to know what I can do on behalf of my fellow man as a designer without trespassing on my fellow man. These seem to be very fundamental kind of questions.
"For instance, I said, I see-- you didn't see it-- but there was a stone that's falling there and it's going to hit you in the head and I jump up that way and deflect it. And if I didn't you'd be killed. And you might say to me: I wish you hadn't done that, I want to die. And then I say: You didn't know that the stone was falling. That option has to be yours. If I saw that the falling stone was going to kill you and I don't act-- quickly like that-- then I would consider that I am a murderer because I have allowed you to be killed when you needn't be killed. Okay. So I said, I don't think I'm trespassing then when I intercept on behalf of my fellow man and divert. So we can't really insulate anything. You can't stop Universe. It's inexorable. But what we can do is take all the events impinging upon man and we can divert them in preferred ways.
"We all need water, but you can't drink all the rain when it rains. But what we can do is to shunt it angularly into a"

Trespassing: Not Trespassing (2)
← Trespassing: Not Trespassing (1) | Trespassing Not Trespassing (1) →
Index Entry
Trespassing: Not Trespassing:
"into a holding operation to be valved into your presence at the magnitudes and the frequencies that your frequency of regeneration requires.
"So I found then what we must do with all the events impinging upon man from outside, macrocosmically; and all the events impinging upon him from microcosm-- and they impinge at different rates and at different frequencies and different magnitudes. So I said what we can really do on behalf of one another is to begin to understand about those and learn how we can shunt those into holding positions to be useful to man. But we must be completely considerate of the total ecological interactions at all times."

Trespassing Not Trespassing (1)
← Trespassing: Not Trespassing (2) | Trespassing: Not Trespassing (2) →
Cross Reference
Expense: Without Any Individual Profiting At
The Expense of Another
Cross-References
- Consideration for Others
- Expense: Without Any Individual Profiting At The Expense of Another
- Golden Rule

Trespassing: Not Trespassing (2)
← Trespassing Not Trespassing (1) | Triacon →
Cross Reference
Cross-References
- Lags, (1)

Triacon
← Trespassing: Not Trespassing (2) | Triacontrahedron →
Index Entry
Triacon:
"The triacon system using the long isosceles is less satisfactory than the short isosceles used by Don Richter."
- Cite RBF to EJA, Beverly Hotel, NY, 22 Jun'72

Triacontrahedron
← Triacon | Triacontrahedron →
Index Entry
"The triacontrahedron displays the sixty-degreeneess plus the ninety-degreeness of its minimum spherical excess resulting from its self-divisioning, its self-halvings."
- Citation & context at T Module, 31 Jul'77

Triacontrahedron
← Triacontrahedron | Triacontrahedron →
Index Entry
"The triacontrahedron is the sphere in nonmotion--the sphere in repose."
- Cite RBF to World Game Workshop'77; Phila, PA; 20 Jun'77

Triacontrahedron
← Triacontrahedron | Triacontrahedron →
Index Entry
Triacontrahedron:
"In the rhombic dodecahedron we have the unit vector radius at the center of the diamond faces.
It is only when the unit radius is at the sphere center that we get all the foldabilities where the value of the sphere becomes exactly 5.
With the unit radius at sphere center and with the 15 maximum great circles describing the triacontrahedron we get the only condition accommodating the unfoldable square of c^2 as a model to satisfy the Einstein equation."
-
Cite RBF to EJA by telephone from Philadelphia office, 13 May'77
-
Incorporated in SYNERGETICS 2 draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1033.1311033.131.

Triacontrahedron
← Triacontrahedron | Triacontrahedron →
RBF Definitions
The maximum limits of the rational cosmic hierarchy are the 120 similar and symmetrical triangles of the triacontrahedron. The minimum limits of the hierarchy are the vites."
Incorporated in SYNERGETICS 2 draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1052.3421052.342
- Citation & context at Mite as Model for Quark, 3 May'77

Triacontrahedron
← Triacontrahedron | Triacontrahedron as Limit Regular Polyhedron →
Index Entry
Triacontrahedron: Great Circles Of:
"The first four prime numbers 1, 2, 3, and 5 synergize factorially in the triacontrahedron with its 15 great circles--ergo, maximum-limit-case--spinnability of the maximum number of identical triangles, dynamically producing the most spherical aspect when spun on all 15 of its potential axes--ergo 'sphere.'"
- Cite SYNERGETICS 2 draft at \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1033.001033.e8; 27 Apr'77

Triacontrahedron as Limit Regular Polyhedron
← Triacontrahedron | Triacontrahedron →
Index Entry
Triacontrahedron as Limit Regular Polyhedron:
"The rhombic dodecahedron is the domain of omni-closest-packed spheres; the middle of its diamond face is the control point for the sphere's radius, the unity vector.
"But at the maximum limit is the triacontrahedron, the 15-great circle limit regular polyhedron generatable from spinnable symmetries. The T Modules emerge as the 120 similar units of the triacon with its 30 diamond faces."
"The T Modules are unfoldable as a square in which the prime vector is the square's diagonal--affording, for the first time, a physical model of Einstein's equation E = mc²."
- Cite RBF to EJA from Kensington Hotel, Santa Monica; 13 Apr'77

Triacontrahedron
← Triacontrahedron as Limit Regular Polyhedron | Trial Balances →
Cross Reference
Cross-References
- T Quanta Module, 12 May'77
- S Quanta Module, 4 Jun'77
- T Module, 31 Jul'77*
- Trigonometry, 26 Sep'77

Trial Balances
← Triacontrahedron | Trial Balance →
RBF Definitions
"Inventions are extemporaneous. They represent trial balances of immediate resource and principle drawn off in the light of shifting needs. Inventions are always imperfect and always become obsolete or may never be realized. Unlike inventions, pure science events are absolute and irrevocable."
- Citation at Inventions, 1947

Trial Balance
← Trial Balances | Trial Balance Inventory →
Index Entry
Omnidirectional Halo, p. 161 - 1960

Trial Balance Inventory
← Trial Balance | Trial-balance Cut-off Year →
RBF Definitions
"I've used the phrase 'trial balance Inventory' all my life, but I first learned of it as an accounting technique when I was working in the finance office of Armour & Co."
Citations
- RBF to EJA, Aspen, Colorado, 13 Jul'74

Trial-balance Cut-off Year
← Trial Balance Inventory | Trial Balance (1) →
Index Entry
Trial-balance Cut-off Year: 1977:
"That's where we've arrived at now after 50 years of exploring--at our trial-balance cut-off year... 1977."
- Cite RBF to World Game Workshop'77: Phila., PA; 21 Jun'77

Trial Balance (1)
← Trial-balance Cut-off Year | Trial Balance (2) →
Cross Reference
Cross-References
- Individual Life as One Way Universe Could Have Turned Out Formulation

Trial Balance (2)
← Trial Balance (1) | Trial and Error →
Cross Reference
Cross-References
- Dwelling Service Industry
- Invention
- Local vs. Comprehensive, (2)
- Pretending, 8 Apr'75
- Periodic Experience, (13)

Trial and Error
← Trial Balance (2) | Trial & Error (1) →
Index Entry
Trial and Error:
"Trial and error always produces inadvertent (i.e., sideways), oblique results. But now humanity is learning about ecology which is only circumferentially omni-intercoordinating...."

Trial & Error (1)
← Trial and Error | Trial & Error (2) →
Cross Reference
Cross-References
- Berry Picking
- Pullout From Error
- Hot Line of Intuition
- Trial Balances
- Womb of Permitted Ignorance
- Mistake

Trial & Error (2)
← Trial & Error (1) | Trial By Jury →
Cross Reference
Cosmic Accounting System, (3)
Cross-References
- Biosphere, (2)
- Ecology Sequence
- Generalized Principle, 1971
- Intuition Sequence, (1)
- Rearrange the Scenery, May'72
- Solid State, 13 May'73
- Universal Mind, Mar'72
- Helpless: Humans Born Helpless, 15 May'75
- Desovereignization Sequence, (7)
- Words & Coping, 7 Nov'75
- Confession, 7 Jan'76
- Human Beings & Complex Universe, (8)

Trial By Jury
← Trial & Error (2) | Triangle →
Cross Reference
Trial By Jury:
Cross-References

Triangle
Index Entry
Triangle:
"A triangle cannot exist by itself; it has to be part of a system."
- Cite RBF to EJA, 3200 Idaho, Wash., DC., 18 Dec'74

Triangle
RBF Definitions
"The structural stability of the triangle is a visualizable yet physical nothingness."
- Citation and context at Octahedron, 16 Dec'73

Triangle
RBF Definitions
"...We find the triangle to be not only the unique pattern-self-stabilizing, multienergied complex, but also accomplishing pattern stabilization at minimum effort, which behavior coincides with science's discovery of the omni-minimum-effort behavior of all physical Universe."
- Citation & context at Necklace, (B), 9 Nov'73

Triangle
RBF Definitions
RBF DEFINITIONS
Triangle:
"A triangle's three-vector parts constitute a basic event. Each triangle consists of three interlinked vectors. In the picture, we are going to add one triangle to the other. (See illustration \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-511.10511.10.) In conventional arithmetic, one triangle plus one triangle equals two triangles. The two triangles represent two basic events operating in Universe. But experimentally triangles do not occur in planes. They are always omnidimensional positive or negative helixes. You may say that we do not have any right to break the triangles' three-sided rims open in order to add them together, but the answer is that the triangles were never closed, because no line can ever come completely back 'into' or 'through' itself. Two lines cannot be passed though a given point at the same time. One will be superimposed on the other. Therefore, the superimposition of one end of a triangular closure upon another end produces a spiral--a very flat spiral, indeed, but openly superimposed at each of its three corners, the opening magnitude being within the critical limit of mass attraction's 180-degree 'falling-in' effect. The triangle's open-ended ends are within critical proximity and mass-attractively intercohered, as are each and all of the separate atoms in"
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-614.01614.01; 9 Nov'73

Triangle (b)
Index Entry
Triangle:
"each of all the six separate structural members of the necklace-structure triangle. All coherent substances are 'Milky Way' clouds of critically proximate atomic 'stars,'
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-614.01614.01; 9 Nov'73

Triangle
Index Entry
Triangle:
"Frequency begins with three-- with triangle, which is the minimum cyclic enclosed circuitry."
- Citation and context at Prime, 17 Feb'73

Triangle
RBF Definitions
"... A triangle is a boundary line closed upon itself..." the finitely closed boundary lines of the triangle automatically divide the unit surface of the sphere into two separate surface areas. Both are bounded by the same three great circle arcs and their three vertexial links: which is the description of a triangle... It is impossible to construct one triangle alone.
Citations
- Spherical Triangle Sequence (i), 26 Jan'73

Triangle
Index Entry
Triangle:
"The word 'structure' means a complex of events which interact to produce omniangular interstability. Three points constitute a triangle. A triangle consists of three vector edges and three tension angles. A triangle is the only polygon whose vector edges stabilize their own opposite angles. Each rigid edge vector of a triangle seizes the ends of its two adjacent vector edges whose other ends are tied together and act as a pair of shears or levers. Thus the third rigid vector edge of a triangle controls the size of the opposite angle and does so with minimum effort because it holds on to the ends of the two edge levers and therefore stabilizes the opposite angle with minimum effort. The triangle is not only structure but it is the only structure in Universe."

Triangle
Index Entry
Triangle:
"You can't have something less than the triangle."
- Cite Univ. of Alaska Address, p.30, 20 Apr '72

Triangle
Index Entry
A triangle is a spiral. It is a spiral which superficially seems to be a closed line, but we know that two lines cannot go through one another. Two lines can within critical mass-attractive proximity be drawn into crossing tangency which looks superficially (only) as though the line were closing back within itself. Because the closure is always tangential triangles will always be stabilizingly locked only by mass attraction integrity in one of its many forms. Ergo, edge-formed triangles are always very flat spirals.
"Two triangles may be combined in such a manner as to create the tetrahedron, a figure volumetrically embraced by four triangles. Therefore, one plus one seemingly equals four."

Triangle
Index Entry
Triangle:
"A triangle is a pattern stabilizing complex of energy events."
- Cite RBF in Corcoran Gallery Address, .lashington, DC, 23 Feb '72

Triangle
Index Entry
Triangle:
"The triangle is a set of three energy event vectors converging angularly into a closed system of critical proximity whereby each event, with minimum effort, stabilizes the opposite angle."
- Cite RBF quoted in Science Today, January '72, rewritten by RBF, Kennedy airport, 1 Apr '72.

Triangle
Index Entry
Triangle:
"The triangle is a set of three energy events getting into critical proximity so that one, with minimum effort, stabilizes the opposite angle."
- Cite RBF quoted in SCIENCE TODAY, Jan'72

Triangle
Index Entry
Triangle:
"Triangles are inherently open. As one positive event and one negative event, the two triangles arrange themselves together as an interference of the two events. The actions and resultants of each run into the actions and resultants of the other. They always impinge at the ends of the action as two interfering events. As a tetrahedron, they are fundamental: a structural system. It is a tetrahedron. It is structural because it is omnitriangulated. It is a system because it divides Universe into an outsideness and an insideness--into a macrocosm and a microcosm.
"A triangle is a triangle independent of its edge-sizing.
"Each of the angles of a triangle is interstabilized. Each of the angles was originally amorphous--i.e., unstable--but they become stable because each edge of a triangle is a lever. With minimum effort, the ends of the levers control the opposite angles with a push-pull, opposite-edge vector. A triangle is the means by which each side stabilizes the opposite angle with minimum effort."
- Cite SYNERGETICS text at Secs. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-614.02614.02-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-614.04614.04; Nov'71

Triangle
Index Entry
Triangle:
"Superficially a triangle seems to be a closed line but we know that two lines cannot go through one another but can, within critical mass-attraction proximity, be drawn into crossing tangency, which locks superficially (only) as though the line were closing back within itself. Because the closure is always tangential, triangles will always be stabilizingly locked only by mass attraction integrity in one of its many forms. Ergo, edge-formed triangles are always very flat spirals."
- Cite New caption written by RBF for SYNERGETICS Illustration Number #1. 7 Oct. '71.

Triangle
Index Entry
A triangle is symmetrical in a plane, but in respect to a pole of omnidirectional symmetry, we find that the symmetry of the triangle lies only in the equatorial plane.

Triangle
Index Entry
The three angles of one 'face' of a planar triangle always add up to 180° as a phenomenon independent of the relative dimensional size of the triangles. One-half of the definitive cycle unity is 180°. Every triangle has two faces-- its obverse and reverse. Unity is two. So we note that the angles of both faces of a triangle add up to 360°. Externally, the sum of the angles around each of the triangle's three vertexes is 120°, of which 60° is on the obverse side of each vertex; for a triangle, like a line, if it exists, is an isolatable system always having positive and negative aspects. So the sum of the vertexes around a triangle (three) times 360° equals 1080°. The remainder of 360° from 1080° leaves 720°, or one tetrahedron. Q.E.D.
- Cite SYN=EGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-224.06224.06, Jun'71

Triangle
Index Entry
Triangle:
"What we call the edges of a triangle-- or arc-- is simply the central angle. You are dealing in central angles and surface angles. You are dealing all in angles and you have no incompatibility for your fractions."
- Citation and context at Spherical Triangle Sequence (e), 1 May'71

Triangle
Index Entry
Triangle:
"A triangle is a triangle independent of its edge-sizing."
Cite NEHRU SPEECH, p. 14, 13 Nov'69

Triangle
Index Entry
'The triangle is the fundamental component of structure but each triangle has two component functions: the edges (vectors) and the angles. The edges synergetically interact--synergetically because there is naught in the characteristics of a single linear vector, per se, that predicts the co-existence of an angle. No angle can exist until two vectors co-exist and interact in critically significant proximity to permit an observed crossing of their action paths to form an angular aspect. Then it takes three angles and three vectors to constitute an 'event.' Two events of two angles and three edges each constitute a tetrahedron: thus two events constitute two event functions, the positive and the negative, to make a minimum structural system. The tetrahedron is the simplest structure known-- experimentally and metaphysically-- to man. The triangle exists operationally only as a positive or negative function of a polyhedron. Of all the polygons only triangles are structurally stable. Try a square with rubber joints: it folds up. Try another rubber-jointed polygon-- it will fold up. Try a rubber-jointed triangle-- it won't fold up: It is stable. Stability relates to the angular behavior: the sides of polygons can'

Triangle
Index Entry
"remain identical while their angles vary. If we want to have a structure, we have to have triangles; and to have a structural system having insideness and outsideness requires a minimum of four triangles. A structural system may be symmetrical or asymmetrical, but it always has a withinness and a withoutness and its faces are always triangular." - Cite RBF marginalia at old Chap. 2 "Synergy," I.5, 18 Mar'69

Triangle
Index Entry
Triangle:
"The three-sided polygon is the minimum spiral of vectors."
- Cite RBF marginalis on old Chap 2, "Synergy", p.I.2, 18 Mar'69

Triangle
Index Entry
Triangle:
"... What happens is that one side takes hold of the ends of the two levers and with minimum effort stabilizes the opposite angle in a minimum of effort. It's also characteristic of physical nature that nature is always doing the minimum effort.
"And when we say 'I recognize' something, the recognizability would be in some kind of a pattern. There must be some reason for nature having repeat patterns; it stabilizes a pattern so you know that it's a maple leaf or it's a rose petal. And once you find that only a triangle can maintain a pattern, you have to say that for anything you say 'I recognize' would apply to a triangle."

Triangle (1)
Index Entry
Triangle:
"The transition of initial awareness
Of sensorially experienced
Physical forms and process relationships
Through their
Progressively
Ephemeral
Diaphanous,
Ethereal,
Brain to mind,
Physical to metaphysical,
Idea trending
Toward, and attaining,
Absolutely weightless
Conceptual integrity
Of interangular proportionality
Is utterly independent
Of size--
A triangle is
A triangle
Independent
Of size and time.
The concepts of"

Triangle (2)
Index Entry
Triangle:
"Isosceles, equiangular, and scalene triangles
Are utterly independent of size and time.
Fundamental conceptuality is immortal.
Utterly weightless, metaphysically abstract,
Conceptual pattern integrities
Are of the mind--
In contradistinction to brain sensing."
- Cite GENERALIZED PRINCIPLES, p.7, 28 Jan'69

Triangle
Index Entry
A triangle is the means by which each side stabilizes the opposite angle with minimum effort.
A triangle is a critical terminal proximity; an energy event helix.
A triangle is the only structure as a polygon.

Triangle
Index Entry
Triangle:
"Open triangular spirals may be combined to make a variety of different figures. . . The tetrahedron and icosahedron require both left and right handed (positive and negative) spirals in equal numbers. . . . The other polyhedra require spirals of only one handedness."
- Cite Synergetics Illustrations #5 1967

Triangle
RBF Definitions
The open ended triangular spiral can be considered one 'energy event' consisting of an action, reaction and resultant. Two such events, one negative and one positive, combine to form the tetrahedron."
"The open ended triangular spiral also represents the proton, electron and anti-neutrino or the positron, neutron and neutrino, which become one-half quantum." (Adapted.)

Triangle
Index Entry
Triangle:
"Triangle is the only structural polygon.
"N 3 = Unstable polygon.
"Triangles crystallize."

Triangle (1)
Index Entry
Triangle:
"The stable structural behavior of a whole triangle, which consists of three edges and three individually and independently unstable angles or a total of six components, is not predicted by any one or two of its angles or edges taken by themselves. The six edges of the two triangles can and frequently do associate with one another, one as left helix and the other as right helix, to form the six-edged tetrahedron which having four triangular faces gives synergetic demonstration of four triangles occurring as the result of associating only two triangles.
"Incidentally, the right and left helixes formed of the two triangles' respective sets of three edges each constitute the vectorial modelling in conceptual array of the positive and negative 'half spins' or 'half quanta' corresponding respectively to the proton set and the neutron set consisting of neutron and neutrino on the left hand and the proton, electron, and antineutrino on the right hand. Together these six make one quantum unit-- which is identified as the tetrahedron."

Triangle
Index Entry
Triangle:
"The stable structural behavior of a whole triangle, which consists of three edges and three individually and independently unstable angles or a total of six components, is not predicted by any one or two of its angles or edges taken by themselves."
- Cite DOXIADIS, p. 312, 20 Jun'66

Triangle
Index Entry
Triangle:
"The triangle is the only structure. Unless it is self-regeneratively stabilized it is not a structure.
"Everything that you have ever recognized in the universe as a pattern is re-recognized as the same pattern you have seen before. Because only the triangle persists as a constant pattern any recognized patterns must be recognizable only by virtue of being a triangle or a complex of triangles. This is the only possible basis of recognition. Only triangularly structured patterns are regenerative patterns. Triangular structuring is pattern integrity itself. This is what we mean by structure."

Triangle
Index Entry
Triangle:
"A triangle is a flat single cycle helix."
- Cite RBF Ltr. to Prof. Theodore Caplow, 18 Feb. '66.

Triangle
Index Entry
The sphere is complex unit and the triangle simplex unity. Here and here alone lie the principles governing finite solutions of all structural and general systems theory problems.

Triangle
Index Entry
Triangle:
"A triangle is not a closed line of three angles and three edges" but " a critical terminal proximity energy event helix."

Triangle
RBF Definitions
"... Triangles ... are the only inherently stable polygons."
TRIANGULATION - SEC \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-610.01610.01
Citations
- KEPES. p. 82, 1965

Triangle
Index Entry
Amongst all the polygons only the triangle is structurally stable. We are being informed that in a multiplicity of omnidirectional actions in the close proximity of the viewable depth of the surfaces structurally stable triangles are everywhere resultant to the similarly random events. That triangles are everywhere is implicit in the fact that wherever we move or view the concentric circles they occur, and that there is always a triangle at the center of the circle. We could add the word approximately everywhere to make the m everywhereness coincide with the modular frequency characteristic of any set of random multiplicity. Because the triangles are structurally stable & each one imposes its structural rigidity upon its neighboring and otherwise unstable random events. With energy operative in the system the dominant strength of the triangles will inherently average to equilateralness.

Triangle
Index Entry
Experiment shows that two lines cannot be constructed through a given point at the same time. One will be superimposed on the other. Therefore the triangle is a spiral-- a very flat spiral, but open at the recycling point.
SYNERGY - Sec.107.1 +107.2
TRIANGULATION - SEC, \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-614.01614.01
- Cite MEXICO 63. p. 23

Triangle (1)
Index Entry
"We do not have any such thing as a closed triangle in a plane; all triangles are merely spirals, very flat spirals. There are no planes. Triangles are inherently open." "The angles of each triangle are inter-stabilized. Each of the separate angles which as such were originally amorphous-- that is, unstable-- became stable because we went out on the edge of each triangle-- each edge of which is a lever-- to the ends of the levers, and there with minimum effort, we controlled the opposite angles with a push-pull opposite edge vector. The triangle represents the means by which each side stabilizes the opposite angle with minimum effort. The triangle is the fundamental function of structure but it takes two functions, the positive and the negative, to make a structure. The tetrahedron is the simplest structure known to man. The triangle exists operationally only as a positive or negative function of a polyhedron. Of all the polygons only triangles are structurally stable." "If we want to have a structure, we have to have triangles and to have a structure also requires a

Triangle (2)
Index Entry
Triangle:
"minimum of four triangles."
- Cite Mexico Address, pp.25-27, 10 Oct'63
TRIANGULATION - SECS. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-610.11610.11 +\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-614.04614.04

Triangle
Index Entry
Triangle:
"A triangle is an action that returns upon itself in critical proximity of itself. It can be pulled apart because it is open."
- Cite Oregon Lecture #3 - p. 89. 5 Jul'62

Triangle
Index Entry
Triangle:
"The triangle is the geometric plane figure which has maximum rigidity, accomplished with least effort because . . . the vector opposite any angle of any triangle is always operating at and between the ends of levers which are the sides of the angle, thus providing maximum advantage over its own angular stability with minimum effort. . . Therefore . . . omni-triangulated, omni-symmetric systems require the least energy effort to effect and regenerate their own structural stability."
- Cite MARKS, p. 43, 1960

Triangle
Cross Reference
In any network high energy charges refuse to take the long way round to their opposite pole. They tend to push through the separating space, striving to 'short.' Thus energy will automatically triangulate via a diagonal of a square, or via the triangulating diagonals of any other polygon to which force is applied. Triangular systems represent the shortest, most economical energy networks. The triangle" is "the basic unit of energy configuration, whether occurring as free energy or as structure...
Cross-References

Triangle
Index Entry
Triangle:
"Every triangle has two faces: obverse and reverse."
- Cite OMNIDIRECTIONAL HALO, p. 144, 1960
TRIANGULATION - SEC.\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/600-structure#section-610.12610.12

Triangle
Index Entry
Triangle:
"A triangle (truss) is a tetrahedron of zerophase altitude."
- Citation & context at Truss, Nov'52

Triangle
Index Entry
Triangle:
"A triangle is a boundary line closed upon itself."
- Cite NOAH'S ARK, p. 3. 1950

Triangle
← Triangle | Triangular Accounting vs. Quadrangular Accounting →
Index Entry
'Second powering' could be either 'squaring' or 'triangling,' but triangle is minimum hole. That is, there are no holes of less than three edges. 'Triangling' is basic or Unity. A 'square' is two triangles.

Triangular Accounting vs. Quadrangular Accounting
← Triangle | Triangular-cammed, In-out-and-around Jitterbug Model →
Cross Reference
Cross-References
- Vectorial & Vertexial Geometry, 27 Jan'75

Triangular-cammed, In-out-and-around Jitterbug Model
← Triangular Accounting vs. Quadrangular Accounting | Triangular-cammed, In-out-and-around Jitterbug Model →
Index Entry
Triangular-cammed, In-out-and-around Jitterbug Model:
"The four axes of the vector equilibrium provide the four-dimensionally articulatable model of motion freedoms unimpeded by other motions of either contiguous or remote systems of Universe while copermitting and concurrently articulating both omnidirectional wave propagation and gravitationally convergent embracement."
- Cite SYNERGETICS (2nd. Ed.) at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-465.41465.41; RBF rewrite 11 Dec'75

Triangular-cammed, In-out-and-around Jitterbug Model
← Triangular-cammed, In-out-and-around Jitterbug Model | Triangular-cammed; In-out-and-around Jitterbug Model (1) →
Index Entry
Triangular-cammed, In-out-and-around Jitterbug Model:
"At \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-465.00465 is the four-dimensional, motion-freedom-from-rest-of-Universe, omnidirectional wave-propagating model. We can also call it by the short title: Triangular-cammed, in-out-and-around, jitterbug model."
- Cite RBF to EJA & Roger Stoller, 3200 Idaho, Wash. DC; 12 Nov'75

Triangular-cammed; In-out-and-around Jitterbug Model (1)
← Triangular-cammed, In-out-and-around Jitterbug Model | Triangular-cammed, In-out-and-around Jitterbug Model (2) →
Cross Reference
Cross-References

Triangular-cammed, In-out-and-around Jitterbug Model (2)
← Triangular-cammed; In-out-and-around Jitterbug Model (1) | Triangle in a Circle →
Cross Reference
Triangular-cammed, In-out-and-around Jitterbug Model:
Cross-References
- Macro-Micro, 12 Nov'75

Triangle in a Circle
← Triangular-cammed, In-out-and-around Jitterbug Model (2) | Triangle & Hexagon Grid (1) →
Cross Reference
Triangle in a Circle:
Cross-References
- Light on Scratched Metal, 9 Nov'73

Triangle & Hexagon Grid (1)
← Triangle in a Circle | Triangle & Hexagon Grid (2) →
Cross Reference
Cross-References

Triangle & Hexagon Grid (2)
← Triangle & Hexagon Grid (1) | Triangle: Minimum of Four Triangles (1) →
Cross Reference
Cross-References
- Primitive, 18 Jul'76

Triangle: Minimum of Four Triangles (1)
← Triangle & Hexagon Grid (2) | Triangle: Minimum of Four Triangles (2) →
Index Entry
Triangle: Minimum of Four Triangles:
"No surface is conceivable without its inherent sphere as a flat Universe is contradictory to experience. The construction of a triangle involves a surface and a curved surface is experimentally satisfactory. Now the minute a triangle is constructed on the surface of a sphere-- because a triangle is a boundary line closed upon itself-- the boundary lines of the triangle automatically divide the surface of the sphere into two separate surface areas, each of which are bounded by three lines of arc and by three vertexes-- which is the description of a triangle. Therefore both areas are true triangles. .. It is impossible to construct one triangle alone. In fact, four triangles are inherent to the (oversimplified concept) constructing of 'one' triangle. In addition to the complementary surface triangle already noted, there must of necessity be two complementary concave triangles appropriate to them and occupying the reverse or inside of the spherical surface. Inasmuch as convex and concave are opposite they cannot be the same. Therefore a minimum of four triangles are always constructed and which one of them is the 'fixation' of the constructor is irrelevant. He might be on the inside, constructing his triangle on
- Cite NOAH'S ARK, P. 3. 1950

Triangle: Minimum of Four Triangles (2)
← Triangle: Minimum of Four Triangles (1) | Triangle Minimum of Four Triangles →
Index Entry
Triangle: Minimum of Four Triangles:
"some cosmic sphere, or vice versa. It might be argued that inside and outside are the same, but not so, while there are an infinity of insides in Experience Universe, there is only one outside comprehensive to all insides. So they are not the same; and the mathematical fact remains that four is the minimum of triangles that may be constructed if any are constructed."
- Cite NOAH'S ARK, p.3. 1950

Triangle Minimum of Four Triangles
← Triangle: Minimum of Four Triangles (2) | Triangle As Signature of God →
Cross Reference
Spherical Triangles on Earth's Surface = Four Triangles
Cross-References

Triangle As Signature of God
← Triangle Minimum of Four Triangles | Triangle As A Priori Two →
Index Entry
Triangle As Signature of God:
"Buckminster Fuller has called the triangle 'the signature of God.'"
- Cite RBF quoted by Oliver L. Reiser in COSMIC HUMANISM, p. 93, 1966

Triangle As A Priori Two
← Triangle As Signature of God | Triangle as A Priori Two →
Index Entry
Triangle As A Priori Two:
"As any three points define a triangle a triangular spiral discloses two sets of three.
Two triangles:
ACD
BCD
"Because unity is plural and at minimum two each basic spiral triangle is in fact a priori two."
- Cite RBF rewrite of Caption to Synergetics Illustration #1, Feb'72

Triangle as A Priori Two
← Triangle As A Priori Two | Triangle as Simplex Unity →
Cross Reference
Cross-References
- Unity Is Plural, Nov'71

Triangle as Simplex Unity
← Triangle as A Priori Two | Triangle (1) →
Cross Reference
Spheres as Complex Unity
Cross-References

Triangle (1)
← Triangle as Simplex Unity | Triangle (2) →
Cross Reference
Module: A Quanta Module Triangle
Hedra Triangles
Cross-References
- Basic Triangle: Basic Disequilibrium 120 LCD Triangle
- Basic Triangle: Basic Equilibrium 48 LCD Triangle
- Equiangularity
- Minimum Cyclic Enclosed Circuitry
- Necklace
- Minimum Hole
- Minimum Polygon
- Recognition
- Spherical Triangle
- Minimum Polar Triangle
- Surface Triangle Structures
- No Altitudeless Triangle
- Precessed Triangle
- Open Triangular Spirals
- Four-triangular Circuits Tensegrity

Triangle (2)
← Triangle (1) | Triangle (3) →
Cross Reference
Cross-References
- Equi-interval, 17 Feb'73
- Minimum Effort, 9 Jul'62
- ahedron, Oct*
- Prime, 17 Feb'73*
- Shape Awareness, 20 Feb'73
- Structure, Nov'71; 22 Jul'71
- Tensegrity: Twelve Pentagons, Aug'72
- Transformable, 23 Jan'72
- Unity: Complex & Simplex, 15 Feb'66*
- Truss, Nov'52*
- Background Nothingness, 2 Jun'75
- Domain of an Area, Dec'71
- Threeness, 27 May'72
- Necklace
- Tidal, 9 Nov'73
- Object, 9 Nov'73

Triangle (3)
Cross Reference
Triangular Accounting vs. Quadrangular Accounting.
Cross-References
- Triangle: Minimum of Four Triangles
- Triangle as Signature of God
- Triangle as A Priori Two
- Triangle as Simplex Unity
- Triangle & Hexagon Grid
- Triangular-cammed, In-out-and-around Jitterbug Model
- Triangle in a Circle

Triangling
RBF Definitions
"All scientists as yet say, 'X squared,' when they encounter the expression 'X²,' and 'X cubed' when they encounter 'X³.' Now we may say 'one to the second power equals one,' and identify that arithmetic with the triangle as the unit of area. Two to the second power equals four: four triangles. Three to the second power equals nine. Four to the second power equals sixteen. Now, we may say 'triangling' instead of 'squaring.' Every square consists of two triangles. Nature needs only triangles to identify arithmetical 'powering' for self-multiplication of numbers. Therefore, 'triangling' is twice as efficient as 'squaring.' This method is what nature uses because the triangle is the only structure. We must learn to say 'triangling,' and not 'squaring.'"
- NASA SPEECH, p. 75, Jun '66
Citations
- Carboncycle Draft return to Modelability, p. V.9

Triangling
← Triangling | Triangling (1) →
Index Entry
" We may say 'triangling' instead of 'squaring.' When we say 'triangling' we are referring to stable structures. When we say 'squaring' we are referring to unstable shapes. Because squares are utterly unstable they may not be called structures. Squares, when partially stabilized, always consist of two triangles which can move in respect to one another as the two halves of a hinge. When we deal with triangling we are being more economical with space than when we employ squares with edges equal to the triangles'. Nature always insists on being most economical. Nature 'triangles.' Nature accounts all of her structuring entirely rationally when measuring with triangles. . . . Ergo: triangular observation of physical phenomena from any angle always produces reliable and rational accounting not available in quadrangular accounting."

Triangling (1)
← Triangling | Triangling (2) →
Index Entry
Triangling:
"Now here is the way we are used to appraising area. We have a square and we divide the edges into two and we say that the increments are two, so 2 x 2 = 4; and we count the squares and we say that 3 x 3 = 9, etc. I am now going to do this with the triangle. I divide the edge into two and I say 2 x 2 = 4, 3 x 3 = 9, etc: and you can say 'triangling' instead of squaring.
"Maybe you never thought about doing that. None of the scientists do-- they always say -- they always say squaring. It seems that it never occurred to them that they could say triangling instead of squaring. When you find you can triangle, and you recall Mach's definition of physics-- 'nature always does things in the most economical ways'-- and if you are triangling you only need half the area to account it in triangles. The triangles use up less of your area.
"Furthermore, there is a very trusting characteristic. Let me look at any quadrangle and I look at it prospectively-- let's say any quadrangle in which the four edges are not the same. I bisect those edges and interconnect and I get four dissimilar"

Triangling (2)
← Triangling (1) | Triangling →
Index Entry
Triangling:
"quadrangles. Let me take any triangle and I bisect its edges and the length of its edges are different, but I always get four similar triangles. There is no way you can subdivide an asymmetrical triangle and not come out with identical triangles. There is no way you can subdivide asymmetrical quadrangles and come out with the same.
If I am using triangling as my fundamental mensuration, and I have a frequency of modular subdivision of the edge (that is what we said we were doing, and what we mean by linear subdivision, and that simply means that we must divide the edges up evenly), and when I do so I always get an identical triangle. Therefore, if I am playing the game in triangulation, I don't have to look at it absolutely symmetrically to be sure that they look nice and even. They can look like anything I like and I am still getting the same information. When I am dealing with quadrangular forms I am not getting the same information: I can be completely misled.
I suddenly found that triangling is not only more economical but it is always reliable."
- Cite Oregon Lecture #6, p.212, 10 Jul'62

Triangling
← Triangling (2) | Triangular Topology Integrity →
Cross Reference
(As in powers of numbers):
Cross-References
- Euler, Sep'58

Triangular Topology Integrity
← Triangling | Triangular Observation →
Index Entry
Triangular Topology Integrity:
N.Y. Times, 15 May'72, H.J. Scmeck, Jr. "Immunology: A Code Spelling Life or Death": "The immune system desperately resists the presence of any foreign tissue."
R.B.F. Marginalia: "Not 'desperate,' but redundant to frequency integrity of triangular topology integrity of constant relative abundance of 1 V x 2 A = 3 L, plus 2 poles, plus 2 cosmos: macro, micro. . . The system knew what to do and has been 'overloaded' or 'starved' by ignorance. Learn how not to overload or starve. Let trace elements be available. Don't meddle."
- Cite RBF marginalia presumably 15 May'72

Triangular Observation
← Triangular Topology Integrity | Triangulation →
Index Entry
Triangular Observation:
"Triangular observation of physical phenomena from any angle always produces reliable and rational accounting not available in quadrangular accounting."

Triangulation
← Triangular Observation | Triangulation →
Index Entry
Triangulation:
"The 31 great circles of the icosahedron resolve everything that goes into triangulation."
- Citation & context at Wichita House, (1), 31 Jan'75

Triangulation
← Triangulation | Triangulation →
RBF Definitions
Closest packing begins with triangulation, the imposition of triangulation on the rest of the system. Only the triangle is inflexible."

Triangulation
← Triangulation | Triangulation →
Index Entry
Triangulation:
". . . The cube is not structurally stabilized
until each of its six unstable square-based
pyramidal half-octahedra are subdivided, respectively,
into two."
- Cite RBF marginalis in Synergetics at "Modelability,
Basic Triangle, Foldability of Great Circles, 14 Sept. 1971.
- Citation at Cube, 14 Sep'71

Triangulation
← Triangulation | Triangulation →
RBF Definitions
"Randomness of lines automatically works back to a set of interactions and a set of proximities which begin to triangulate temselves.... The most comfortable condition of triangles is equilateral so there will be a tendency for them to try to become equilateral.... This effect goes on in depth and into the tetrahedra or octahedra."
- Citation at Randomness, 15 Oct'64

Triangulation
← Triangulation | Triangulate Triangulation (1) →
Index Entry
Triangulation:
"If I am nature and I want to enclose some volume and do it with a minimum of effort, I have to triangulate, and the icosahedron is the polyhedron which I would use."
-
Cite Carbondale Draft Nature's Coordination, p. VI.1,2
-
Cite Judgment Lab Address, p.27,15 Oct'64
-
Citation & context at Icosahedron, 15 Oct'64

Triangulate Triangulation (1)
← Triangulation | Triangling Triangulation (2) →
Cross Reference
Railroad Tracks: Triangular System of Energy
Networks
Self-triangulating
Structure
"Come-and-Co" Triangulation Pattern Strip
Intertriangulated
Railroad Tracks: Triangular System of Energy Networks
Self-triangulating Structure
Dynaxion Airocean World Map
Cross-References
- Atomic Triangulated Substructuring: Hierarchy Of, (1)
- Cork: Triangular Corks in Spherical Barrels
- Icosahedron
- Omnitriangulation
- Omniintertriangulation
- Centrally Triangulated
- Stabilized Vector Equilibrium
- Cube & VE as Wave Propagation Model
- Stabilized Cube

Triangling Triangulation (2)
← Triangulate Triangulation (1) | Triclinic →
Cross Reference
Light on Scratched Surface, 9 Nov'73
Cross-References
- Cube, 14 Sep'71*
- Euler, Sep'58
- Frequency, May'67
- Icosahedron, 15 Oct'64*
- Randomness, 15 Oct'64*
- Remember, 20 Feb'72
- Relationships, 15 Oct'64
- Structural Functions, Oct'73
- Wichita House, (1)
- Surface Strength of Structures, Mar'72

Triclinic
← Triangling Triangulation (2) | Trigom (Trimetric) System of Airways (1) →
Index Entry
'Cline' means an incline or slope. 'Clinic' means special characteristics of a family.
"I use 'triclinic' to describe the three edges and three faces around a corner: tetrahedron.
"In the goofy language of crystallography they talk of inclines and faces, but crystallography pays no attention to the fact that square faces lack stability. The word 'polygon' is OK as in a triangle. And the word 'trigonometry' is OK for angles. But 'polyhedron' is not OK because it refers to descriptions in terms of faces and faces are not stable.
"We need a word to serve as the 'gons' of polygon: what it takes six of to stabilize the cube and 12 of to stabilize the rhombic dodecahedron."

Trigom (Trimetric) System of Airways (1)
← Triclinic | Trigonometric Limit →
Cross Reference
Cross-References
- Point: Outbound Point, 6 May'48 (1)

Trigonometric Limit
← Trigom (Trimetric) System of Airways (1) | Trigonometric Limit: First 14 Primes →
Index Entry
"45° is the limit. You don't have to know more than 45°, which is the maximum asymmetry. If you have to go higher than that you treat it in terms of the complementary. This is the strategy of trigonometry, where the tables go no higher than 45°.
The complementarity of the vector equilibrium with the octahedron permits us to get down to the local and not be afraid of missing the rest of Universe, because we know the fundamental complementation of macro tetra and micro tetra. We were always looking at the XYZ quadrant--focusing on the crossing at the center of the octahedron, rather than on the functioning of the covariations.
"This is why we factor the first 15 primes-- from 1 to 43--that is up to the limit of the 45° angle, to accommodate all the variations of all the trigonometries of Universe."

Trigonometric Limit: First 14 Primes
← Trigonometric Limit | Trigonometric Limit →
Index Entry
Trigonometric Limit: First 14 Primes:
"45 degrees is the zero limit of covarying asymmetry because the right triangle's 90-degree corner is always complemented by two corners always together totalling 90 degrees. The smallest of the covarying, 90-degree complementaries reaches its maximum limit when both complementaries are 45 degrees. Accepting the concept that one is not a prime number, we have 14 primes-- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43-- which primacy will accommodate all the 14 unique structural faceting of all the crystallography, of all biological cell structuring, and of all bubble agglomerating: the 14 facets being the polar facets of the seven and only seven axes of symmetry of Universe, which are the 3-, 4-, 6-, 12-great circles of the vector equilibrium and the 15-, 10, 6great circles of the icosahedron."
- Cite RBF rewrite of SYNERGETICS galley at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1200-numerology#section-1238.211238.21, Santa Monica, CA, 14 Jan'74

Trigonometric Limit
← Trigonometric Limit: First 14 Primes | Trigonometry →
Cross Reference
Cross-References
- Degrees: 45°
- ant, Oct
- antation, Oct
- XYZ Quadrant at Center ofahedron, Oct

Trigonometry
← Trigonometric Limit | Trigonometry →
Index Entry
Trigonometry:
"We were working on the text of the T Quanta Modules and Chris Kittrick objected that the volume of the triacontrahedron in the geometric hierarchy does not equal 5, that it works out to .4997. So I explained to him that all of the rational numbers in the hierarchy derive from the successive halving of tetrahedra. We get the irrationals in the triacontrahedron and in the icosahedron because we compute it trigonometrically.
"Trigonometry has no comprehensive rational quotients. Trigonometry is inherently rough because it is predicated on the notion of 360° around a circle in a plane."
- Cite RBF to EJA, from Philadelphia; 26 Sep'77

Trigonometry
← Trigonometry | Trigonometry: Spherical Trigonometry →
Index Entry
Trigonometry:
"Plane geometry is only a vestigial, terminal case of spherical trigonometry. The ratio-ing of angles and edges on a presumed flat surface is a very special case. That's why it seems so remote from experience. What is really being measured can be only central angles and spherical surface angles. That's all there is.
"The central angles and surface spherical angles are those of the projection onto a sphere of the characteristics of polyhedra as projected from the centers of volume of the respective polyhedra."
- Cite RBF to EJA a propos Ltr. from Hugh Kenner of 14 Jul'76; holograph, Washington DC, 18 Jul'76.

Trigonometry: Spherical Trigonometry
← Trigonometry | Trigonometry: Spherical Trigonometry (1) →
Index Entry
Trigonometry: Spherical Trigonometry:
". . . If we start synergetically with whole systems such as spherical trigonometry then you avoid the concept of an edge and instead learn of the accommodation of surface and central angles. Then having both surface angles and central angles we discover that spherical trigonometry is always dealing with tetrahedra whose interior apexes are at the center of the system."
- Cite Synergetics draft, \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-558.00558, August 1971

Trigonometry: Spherical Trigonometry (1)
← Trigonometry: Spherical Trigonometry | Trigonometry: Spherical Trigonometry (2) →
Index Entry
Trigonometry: Spherical Trigonometry:
"Many of you have been exposed to the trigonometry and it seemed really to be the first kind of difficult phase to kids in school because they came to words that didn't seem familiar. A line and a face sound familiar, but you got into some Greek words and you got into sine, cosine, tangent, cotangent and so forth, and you said I don't know what these are and then you said, Show it to me. They couldn't show it to you because it is a ratio. That was annoying to you to have a ratio. . . I can give you a very good case of a ratio that you are familiar with that doesn't give you trouble. . . A knot is a ratio of miles and hours. . . . But the trouble was that all those functions of the angles, they were Greek words and a very upsetting thing. The trigonometry showed us ways of dealing in edges and angles. One of the things that made you kind of upset was that you were rationing an angle to an edge, and that was something like rationing cows to moons and you are not really sure that they fit together."
- Cite Oregon Lecture #7, pp. 271-271. 11 Jul'62

Trigonometry: Spherical Trigonometry (2)
← Trigonometry: Spherical Trigonometry (1) | Trigonometry: Spherical Trigonometry (3) →
Index Entry
Trigonometry: Spherical Trigonometry:
"This is one of the troubles of having started our education with parts-- of starting with lines and planes as being simple, and solids as being very difficult and sphericals even more difficult. I have given you a Universe where we start with the whole and then we begin to take out all our parts and inspect the parts, and you will always find a finite relationship of those parts-- so we come to a sphere long before we come to a plane. A planar trigonometry would be a very difficult one compared to ■ spherical. Once I am in the spherical I have a very fundamental condition which is, in making these circles, what we call the arcs, is a central angle. It is an angle. Therefore, when I am doing spherical trigonometry, when I am dealing in central angle or surface angle, you needn't say angles and edges. . . . I say this is a central angle because if you look on the circle that arc is proportional to the central angle. It is a central angle and a surface angle. You are dealing entirely in angles. If you started again from the outside you would never have the uncomfortable feeling about solving ratios between angles."
- Cite Oregon Lecture #7, p. 272. 11 Jul'62

Trigonometry: Spherical Trigonometry (3)
← Trigonometry: Spherical Trigonometry (2) | Trigonometry (1) →
Index Entry
Trigonometry: Spherical Trigonometry:
"Now we have learned about precession. We find that there are fundamental conditions of waves and the effect of systems of precessing from the 90-degreeness so you go from the central angle to the surface angle and you find over and over again, each one of the progression . . . shown in the series of 25 great circles. We find the three, going to the four, the four going to the five. What had been the central angles before became the surface angles; what were the surface angles became the external angles. We find the systems inherently turning themselves inside-out in respect to these angles. The angles are independent of size. They are fundamental. They are nondestructible. And so we get the processing of edges from insideness and outsideness and are beginning to understand and have a feeling about the propagation of electromagnetic waves. And I have been showing you where things literally were turning themselves out and the space became the sphere and the other way. They were doing that on the 25 great circle patterns. We have great pulling together of a concept of fundamental waves and understanding inside and outside angles. . . "
- Cite Oregon Lecture #7, pp. 272-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-273.11273.11 Jul'62

Trigonometry (1)
← Trigonometry: Spherical Trigonometry (3) | Trigonometry (2) →
Cross Reference
Cross-References

Trigonometry (2)
← Trigonometry (1) | Trim Tab →
Cross Reference
Cross-References
- Cartography: Conventional Projections, (2)
- ahedron, Oct
- Comprehensibility of Systems, 26 May'72
- Spherical Triangle, 23 Jan'75
- Omnirational Control Matrix, 12 May'75
- Sin, 7 Nov'75

Trim Tab
← Trigonometry (2) | Trim Tab →
Index Entry
A trim tab is a physical environmental control device in a universe where change, motion and evolution are inexorable. . . You must not just have a theoretical idea but reduce it to practice. That is my strategy.

Trim Tab
RBF Definitions
"... In an airplane you have this great big rudder up there, with a little tiny trim tab on the trailing edge, and by moving that little trim tab to one side or the other you throw a low pressure that moves the whole airplane. The last thing, after the airplane has gone by, you just move that little tab. And so I said to myself, 'I'm just an individual, I don't have any capital to start things with, but I can learn how to throw those low pressures to one side or the other, and this should make things go in preferred directions, and while I can't reform man, I just may be able to improve his environment a little. But in order to build up those low pressures I'm going to have to really know the truth."

Trim Tab
Index Entry
Trim Tab:
"The child is really the trim tab of the future."
- Cite Calvin Tomkins, TheNew Yorker, 8 Jan. 66, p. 65.

Trim Tab
← Trim Tab | Trim Tab Sequence (1) →
Index Entry
Something hit me very hard once, thinking about what one little man could do. Think of the Queen Mary-- the whole ship goes by and then comes the rudder. And there's a tiny thing on the edge of the rudder called a trim tab. It's a miniature rudder. Just moving that little trip tab builds a low pressure that pulls the rudder around. Takes almost no effort at all. So I said that the little individual can be a trim tab. Society thinks it's going right by you, that it's left you altogether. But if you're doing dynamic things mentally, the fact is that you can just put your foot out like that and the whole big ship of state is going to go. So I said, Call me Trim Tab.

Trim Tab Sequence (1)
← Trim Tab | Trim Tab Sequence (2) →
Index Entry
Something hit me and hit me hard once-- thinking about what one little man could do. Think of the Queen Mary, the whole ship goes by and then comes the rudder. The rudder does a little tiny thing and causes the great big ship to do so much. So I said, I'm just little me and we have this great ship of state and society moving this way and I'm not going to get anywhere by getting out front and trying to push the bow around. That's what all the reformers try to do.
So what could I do? Next thing, take flying. The rudder of your airplane, when you're moving it's a terrific job to move that thing. There's a tiny section on the trailing edge of the rudder called a trim tab. It's a miniature rudder. Just moving the trim tab like that builds a low pressure and that pulls the rudder around. It takes almost no effort at all. When you get into jets you have to do it that way; to move the jet at the velocity it's going is like trying to move it in concrete. So the little trip tab pulls the big rudder around.
So I said: What does the little individual do? A little individual can be a trim tab. Society thinks it's going right
- Cite RBF to Barry Farrell; Bear; Island; Tape #8, Side A, transcript p. 1; 22 Aug'70.

Trim Tab Sequence (2)
← Trim Tab Sequence (1) | Trim Tab Sequence (3) →
Index Entry
Trim Tab Sequence:
"by you, that it's left you altogether. But if you're doing dynamic things mentally, the fact is that you can just put your foot out like that and the whole big ship of state is going to go. So I said, if you've read some of my things, Call me Trim Tab. I'm going to get some of these big things to happen by doing little things.
"And there's no little thing quite so powerful as integrity. And the truth is that you get the low pressure to do things rather than the positives: and so you get rid of a little nonsense, you get rid of everything that doesn't work and is untrue, and you get the trim-tab motion every time. These are the grand strategies you're going for. And really, I'm positive that what you do with yourself-- just the little things you do yourself: do you throw a little piece of paper on the ground?-- these are the things that count.
"To be a real trim tab you start with yourself. Once you start with yourself it starts the low pressure and suddenly things begin to work in a beautiful way. You started me off by asking the question: How do these enormous things happen? 'Well, I've"

Trim Tab Sequence (3)
← Trim Tab Sequence (2) | Trim Tab →
Index Entry
seen enormous things happen. I've really tried things and I've seen them happen. But they can only happen when you're dealing with really great integrity. You must be helping evolution--and then they happen like that! She's trying very hard to make man a success. He was designed to be a success, even if he's been assuming he was supposed to be a failure.

Trim Tab
← Trim Tab Sequence (3) | Trim Tab →
Index Entry
Trim Tab:
"Philosophically it is clear that trim tabs occur in the trailing edges of trailing devices-- in the tail-end of tail-end events-- at the stern of the ship as the last event and not at the bow as the first event."
- Citation and context at Ruddering Sequence (5), 1963

Trim Tab
Index Entry
Trim Tab:
New Forms Vs Reforms, WDSD Doc. #1, p.54. 1963

Trim Tab (1)
Cross Reference
Cross-References

Trim Tab (2)
← Trim Tab (1) | Trinity Equation of Trinity →
Cross Reference
Cross-References
- You, Nov'67

Trinity Equation of Trinity
← Trim Tab (2) | Trinity Equation Of →
Index Entry
Einstein's formula, explaining as it does imperfection and interference in terms of diffused but non-lost energy, provides a specific means for the scientific measurements and rationalization of all life phenomena. This formula quite interestingly represents as a mathematical explanation of life, what the Christian religion attempted intuitively and philosophically to express in name-words: god (the father in heaven) = son and holy ghost (on earth).

Trinity Equation Of
← Trinity Equation of Trinity | Trip: How Was the Trip →
Cross Reference
Trinity: Equation Of: See Equation: Philosophical Equations
Cross-References

Trip: How Was the Trip
← Trinity Equation Of | Tripartite Component of Universe →
Cross Reference
Trip: How Was the Trip:
Cross-References
- Flight, 3 Oct'73

Tripartite Component of Universe
← Trip: How Was the Trip | Tripartite (1) →
Cross Reference
Cross-References
- Basic Event, Dec'71

Tripartite (1)
← Tripartite Component of Universe | Tripartite (2) →
Cross Reference
Cross-References

Tripartite (2)
← Tripartite (1) | Triple-bonded →
Cross Reference
Mite: Positive & Negative Functions, (1)
Cross-References
- Basic Event, 18 Feb'66
- Cosmic Complementary, 6 Nov'73
- Proton & Neutron, May'72
- Action-reaction-resultant, Jun'66

Triple-bonded
Cross Reference
Cross-References

Tripod
← Triple-bonded | Tripod (1) →
Index Entry
Tripod:
"Goldy now sees that gravity makes the three legs of the tripod spread apart, but gravity also pulls the tripod toward the Earth and also coheres the Earth on which the tripod stands and gratuitously provides three more base lines formed as a closed tension triangle which keeps the three disintegrating tripod legs from coming apart and thus guarantees the structural integrity of the tetrahedron so formed.
"Since each of the tripod's three legs are trying to part from the others, they are trying to subtract themselves from one another so they are minus quantities. Therefore, in this particular synergetic formulation's formula, one vector leg minus a second vector leg minus a third vector leg equals (results in) the six positive vector legs (3-3=+6) which is the minimum number of structural members of a structural system."
- Cite GOLDYLOCKS, pp.C1-C2, 27 May'75

Tripod (1)
Cross Reference
Cross-References

Tripod (2)
← Tripod (1) | Trisection of an Angle →
Cross Reference
Cross-References
- Topology: Synergetic & Eulerian, 28 Oct'72
- Redundancy: Reduction Of, 22 Apr'71

Trisection of an Angle
← Tripod (2) | Trisection of an Angle →
Index Entry
Trisection of an Angle:
"We now have the hexagonally divided circle as a construct- ionally proven geometrical relationship; and therefore we have what the Greeks could not acquire: i.e., a trisected 180-degree angle; ergo a six-equiangular subdivision of spherical unity's 360 degrees into 60-degree omnisquiangularity; ergo a geometrically proven isotropic vector matrix operational evolvement field.
- Cite RBF rewrite of SYNERGETICS galley at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/800-operational-mathematics#section-841.16841.16, 22 Nov'73

Trisection of an Angle
← Trisection of an Angle | Trivalent (1) →
Cross Reference
Trisection of an Angle: See Universal Vertex Center Model, 29 Apr'43
Cross-References
- Universal Vertex Center Model, 29 Apr'43

Trivalent (1)
← Trisection of an Angle | Trivalent (2) →
Cross Reference
Cross-References

Trivalent (2)
Cross Reference
Trivalent: See Compoundings of Systems, 10 May'76 Quanta Loss by Congruence, (2) Bubble Bursting, 20 Jan'78
Cross-References
- Compoundings of Systems, 10 May'76 (2)
- Quanta Loss by Congruence, (2)
- Bubble Bursting, 20 Jan'78

Trix
← Trivalent (2) | Trolley System for the Whole Earth →
Index Entry
Trix:
"Trix: My invented word for a sixtieth of a second of angle or time."
- Citation and context at Angle: Pumping Fraction Factors, 15 May

Trolley System for the Whole Earth
← Trix | Trough as Contracted Phase of Universe →
Cross Reference
Cross-References
- Most Economical, 15 Jun'74

Trough as Contracted Phase of Universe
← Trolley System for the Whole Earth | Trucks →
Cross Reference
Cross-References

Trucks
← Trough as Contracted Phase of Universe | True →
Cross Reference
Cross-References

True
Index Entry
True:
"It is preposterous to be deliberately ignorant about 'solid state' or 'black hole.' They cannot see what is true until they relinquish what is not true."
- Citation and context at Invisible Circuitry (2), 28 Oct'72

True (1)
Cross Reference
Cross-References

True (2)
← True (1) | Truncated Tetrahedra →
Cross Reference
Cross-References
- Principle, May'49

Truncated Tetrahedra
← True (2) | Truncated Tetrahedra (1) →
Index Entry
'Surface' triangle structures are always truncated tetrahedra.
- Citation & context at Structure, 26 Dec'74

Truncated Tetrahedra (1)
← Truncated Tetrahedra | Truncated Tetrahedra (2) →
Cross Reference
Cross-References
- Fourteen Axes of Truncated Tetrahedra

Truncated Tetrahedra (2)
← Truncated Tetrahedra (1) | Truncation (1) →
Cross Reference
Cross-References
- Rigidity vs. Resilience, 20 Dec'74 (2)
- Prime Nuclear Structural Systems, 27 Dec'74 (2)

Truncation (1)
← Truncated Tetrahedra (2) | Truncation (2) →
Cross Reference
Cross-References

Truncation (2)
Cross Reference
Truncation: Truncated:
Cross-References
- T Module, 21 Jun'77

Truss
Index Entry
"Intertrussed and intertriangulated are the same words: Truss: Trace: And Triangle."
- Citation and context at Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (8), 25 Jan'73

Truss
Index Entry
Truss:
"Strutted trusses are high-tide aspects of edges . . ."

Truss
Index Entry
Truss:
"... A sphere is a polyhedron of invisible plurality of trussed facets ('trussed' because all polygons are reducible to triangles or trusses and are further irreducible) and trusses are therefore basic polygons. Infinite polyhedron is infinitely faceted by basic trusses."
"A triangle (truss) is a tetrahedron of zero phase altitude."
-
Cite A.CHAL, Plate 36 caption. 1962
-
Citation & context at Sphere, Nov'52
ISOTROPIC VECTOR MATRIX - 420,07

Truss
Index Entry
Truss:
"When later men learned that the structural strength at the surface was not provided by the 'solid' quality of the exterior shell, but by triangularly interstabilized lines of force operative within that shell, they perforated the shell with holes between the force lines. The minimum holes were triangular. The pattern of triangulated force lines, peppered with triangular holes in the hollowed out structural shell, became what we call a truss. We can say the, firstly, that the hollowing out automatically reduced the third power volumetric multiplication of relative weight increase of structures as they increase in respect to their primary linear dimensions."
- Cite "Tensegrity," PORTF.LIO + ART NEWS, p.124, Dec. '61

Truss (1)
Cross Reference
Cross-References
- Beam
- Gusset
- Intertruss
- et Truss, Oct
- Strut

Truss (2)
Cross Reference
Cross-References
- Sphere, Nov'52*
- Twenty-Foot Earth Globe and 200-Foot Celestial Sphere, (8)
- Universal Vertex Center Model, 29 Apr'43

Trust
Cross Reference
Cross-References
- Cosmic Synergy, Jan'72
- Death, 11 Sep'73

Truth
Index Entry
We may say that thinking about the truth alters truth, but only to the extent of defining it. We may always clarify and redefine the truth by making it more comprehensively considerate and more incisively exquisite. Truth alters truth only by refining the definition. The substance of the sensing and instrumental control of the physical means of communication are always refinable and trend toward the ephemeralization of doing ever more with ever less, but you can never get to the exact, most economical statement of the truth for the very communication will have ephemeralized to pure metaphysics. Truths are like generalized principles: interaccommodative and nonintercontradictory. Truths are special case realizations of the generalized principles; by these very aspects are they discovered to be truths.

Truth
Index Entry
Truth:
"The truth belongs to everybody."

Truth
Index Entry
Truth:
"As humans are physically situate halfway between the largest and smallest known bio-organisms, they are also halfway between the astro-largest and nuclear-smallest physical phenomena; humans thus find themselves between an absolute, omnidirectional, equilibrious, dimensionless, metaphysical core contained within a spheric zone twilight of macro-almost-true and containing a spheric zone twilight of micro-almost-true. As humans are in the middle of the cosmic scheme metaphysically, truth itself is an unreachable, omnidirectional, cosmic center. The truth is zero eternal. Temporality = temporality = time-reality. In temporality you cannot reach the truth. You cannot be exact because truth is zero. Absolute truth is an omnizerophase condition. The metaphysical comprehension passes through, expandingly and contractively, but fails ever to remain at the zero core of equilibrious truth."
- Cite SYNERGETICS, 2nd. Ed., at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-504.14504.14; RBF rewrite, Phila. PA., 22 Jun'75

Truth
RBF Definitions
Truth is special case. Truths tend to articulate generalized principles.
"God is the synergetic integral of all truths... but these are just words, utterly inadequate. You can only talk to god on behalf of everybody.
"I have had experiences that make me feel that god knows what I am doing."

Truth
Index Entry
Truth:
"Truth is cosmically total: synergetics. Verities are generalized principles stated in semimetaphorical terms. Verities are differentiable."
- Cite RBF rewrite of SYNERGETICS galley at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1005.541005.54, 29 Dec'73

Truth
Index Entry
Truth:
"The eternal is omniembracing and permeative; and the temporal is linear. This opens up a very high order of generalizations of generalizations. The truth could not be more omni-important, although it is often manifestly operative only as a linear identification of a special-case experience on a specialized subject. Verities are semi-special-case. The metaphor is linear."
- Cite RBF rewrite of SYNERGETICS galley at \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1005.001005,52, 29 Dec'73

Truth
Index Entry
Truth:
"All the cosmic generalized principles are omniembracing-always-true. Truth, like gravity, is nonlinear; it is omniembracing. And of all the creatures on our planet, only humans have demonstrated the ability to discover such truth."
- Context and citation at Radiation-Gravitation Sequence (3), 5 Jun'73

Truth
Index Entry
Truth:
"...You keep reducing the tolerance for error. As we reduce the tolerance for error we begin to get near the eternal, which is what we'll call the truth. But we'll never quite get there... Man being pretty much in the middle, as is the truth itself in a kind of twilight zone on either side of the truth-- both microcosm and macrocosm. kind of closing in on it."
- Citation and context at Middle, Feb'73

Truth
Index Entry
Truth:
"The eternal is embracing and the temporal is linear. This opens up a very high order of generalizations of generalizations. The truth could not be more important, although it is often only a linear identification of a special-case experience on a specialized subject. Truths are semi-special-case. The metaphor is linear."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1005.531005.53, 16 Feb'73

Truth
Index Entry
Truth:
"In the inherently endless scenario model of Einstein's Universe truth is ever approaching a catalogue of alternate transformative options of ever more inclusive and refining degrees, wherefore the metaphysical might continually improve the scenario by conceptual discoveries of new generalized principles."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-217.03217.03, 10 Nov'72

Truth
Index Entry
Truth:
"But as long as self-consciousness continues
The inherent inexactitude of
Earthian mind's self-and-environment apprehending--
Yclept life-- will continue
Only as a dependent function
Infinitely subordinate
To cosmic totality.
"But life will-- ever and anon--
Experience inspirational glimpsing
Of the orderly cosmic vectors
All of which point convergingly to absolute--
Ergo in comprehensible to temporality--
Truth."
- Cite EVOLUTIONARY 1972-1975 ABOARD SPACE VEHICLE EARTH, Jan '72, pp. 8-9.

Truth
Index Entry
Truth:
"Conceptual totality
Is inherently prohibited.
But exactitude can be bettered
and measurement refined
by progressively reducing
Residual errors
Thereby disclosing
The directions of truths
Ever progressing
Toward the eternally exact
Utter perfection,
Complete understanding
absolute wisdom
Unattainable by humans . . . "
Cite IRAN, 1971

Truth
Index Entry
Truth:
"Truth is spontaneous; lying has to be learned."
(also appears in verse)
- Cite RBF to EJA in N.Y.C.
10 Dec 70

Truth
Index Entry
Truth:
"The truth is zero. You can't get to the truth. You can't be exact because truth is zero."
- Cite WATTS TAPE, p. 39, 19 Oct'70

Truth
Index Entry
Truth:
"Truth is ever approaching evolutionary and constantly intertransforming, precessionally behaving, process of a complex of omni-accommodative intercomplementary transactional events . . . in ever closer proximity to perfect equilibrium of all transformative forces, but never attaining such equilibrium. . . ."
- Cite Pendulum Model VS. Scenario Model. 23 Dec'68

Truth
Index Entry
Truth:
"... Absolute Truth ... an omni-zerophase condition
... Metaphysical passes through but fails to remain
at the zero of equilibr-mous truth..."
- Cite Pendulum Model VS, Scenario Model. 23 Dec'68

Truth
Index Entry
Truth:
"We've gotten so that you cannot get to any absolute truths. The word truth is simply a direction rather than an attainment. It's not a static. Truth is really then a yielding to the integrity of the intellect, not trying to persist in sticking with something familiar, just trying to rationalize what you thought was an explanation. I say then that we're coming very swiftly into an era when we will think together, an enormous comprehensive spontaneity of society to act in unison-- as you see a beautiful flight of birds acting, simply because we will be adhering to the information which is closer to the truth, and the truth will be guiding us all the time. The nuances will be much more impressive, much more delicate, much more exciting!"

Truth
Index Entry
Truth:
"I have learned that truth
Is an omnipresent, omnidirectional,
Evolutionary awareness,
One of whose myriadly multiplying facets
Discloses that there are no 'absolutes'
-- No 'ends' in themselves-- no 'things'--
Only transitionally transformative verbing."
- Cite HOW LITTEE, p. 52, Oct'66

Truth
Index Entry
Truth:
"Post-Greek electron-microscopy and Heisenberg's indeterminism show that the seemingly self-evident is always superficial and utterly deceptive and that truth is at best inexact."
- Citation and context at Axiom, Jun'66

Truth
Index Entry
Degrees of accuracy are only degrees of refinement, and magnitude in no way affects the fundamental reliability, which refers, as directional or angular sense, toward centralized truths. Truth is a relationship.

Truth
Cross Reference
Truth:
"Even thinking about truth alters truth."
- Cite TOTAL THINKING, I&I, p. 226. 1949
(Context at Epigenetic Landscape, May'49)
Cross-References

Truth
Index Entry
Truth:
"...Truth may not be dealt with as isolated, but only as relative relationships of interaction governing in principle the interactions of specially nonsimultaneous sets of dynamic principles."

Truth
Index Entry
"It is only on first revelation that a truth is obviously new. Its recurrence as an idea appears to be age old and common knowledge. That is the way of truth. It so thoroughly harmonizes within all the scope of our reason that it makes little note of its entry. On the other hand a warped truth or fallacy lingers long within our reasoning chambers and makes much impression. The truth-loving, non-procrastinating mind analyses to the end. The laggard mind merely marvels at the sensation set up by the discordant fallacy. In either case there is more sensation in the fallacious statement than in the truth. We constantly overlook the harmonious and important truth in life until, at some distance of time or space, our perspective is repaired."

Truth and Love
← Truth | Truth as Progressive Diminution of Residual Error →
Index Entry
Truths are then differentiable. But love is omni-embracing, omnicohherent, and omni-inclusive, with no exceptions. Love, like synergetics, is nondifferentiable, i.e., is integral. Differential means locally-discontinuously linear. Integration means spherical. And the intereffects are precessional.
"In the highest order of generalizations is the comparison of truth and love."

Truth as Progressive Diminution of Residual Error
← Truth and Love | Truth as Progressive Diminution of Residual Error →
RBF Definitions
Q. What do you mean by the contrast of acceleration vs. eternal slowdown?
RBF: "We are going faster. It is more than just the 60,000 M.p.h. of the Earth-around-the-Sun. Our jet planes add to that and so we are getting enormous acceleration compared to our forebears.
"The generalizations are eternal.... Heisenberg.... The more accurately we state the truth the less frequently it becomes necessary to modify our statement of it. We have to change what we say less and less. Eventually it works back to the eternality of No Change."
Citations
- RBF to videotaping session, Philadelphia, PA., 1 Feb'75

Truth as Progressive Diminution of Residual Error
← Truth as Progressive Diminution of Residual Error | Truth as Progressive Diminution of Residual Error (1) →
Index Entry
Truth as Progressive Diminution of Residual Error:
"It seems that Truth
Is progressive approximation
In which the relative fraction
Of our spontaneously tolerated residual error
Constantly diminishes.
This is a typical
Antientropy proclivity of man
-- entropy being the law
Of increase of the random element."
- Cite HOW LITTLE, p. 53, Oct'66

Truth as Progressive Diminution of Residual Error (1)
← Truth as Progressive Diminution of Residual Error | Truth as Progressive Reduction of Error (2) →
Cross Reference
Cross-References
- Eternal Slowdown
- Heisenberg-Eliot-Pound Sequence
- No Finality of Human Comprehension
- Perfect = Direction
- Residual Ignorance of Temporality

Truth as Progressive Reduction of Error (2)
← Truth as Progressive Diminution of Residual Error (1) | Truth & Nontruth →
Cross Reference
Cross-References
- Synergetics, 22 Jun'77

Truth & Nontruth
← Truth as Progressive Reduction of Error (2) | Truth →
Index Entry
Truth & Nontruth:
"To perceive of and say 'truth' invokes the concept of non-truth, ergo differentiation."
Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-529.07529.07
-
Citation at Differentiation, 20 Dec'71
-
Cite RBF marginalia, 20 Dec. '71 at SYNERGETICS Draft, Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-529.07529.07.

Truth
← Truth & Nontruth | Truth: Thinking About Truth Alters Truth →
Index Entry
Truth: Thinking About Truth Alters Truth:
"Thinking about truth alters truth only to the extent of defining it."
- Cite RBF to EJA, 3200 Idaho, Wash., DC, 15 May'75

Truth: Thinking About Truth Alters Truth
Cross Reference
Cross-References
- Heisenberg-Eliot-Pound Sequence, May'49
- Truth, 30 Jun'75

Truth-trends (2)
← Truth: Thinking About Truth Alters Truth | Truth: Zero of Equilibrium Truth →
Cross Reference
Cross-References

Truth: Zero of Equilibrium Truth
← Truth-trends (2) | Truth (1) →
Index Entry
Truth: Zero of Equilibrium Truth:
"...Disorder attains and passes through maximum asymmetry as the metaphysical passes through but fails to remain at the zero of equilibrium truth..."

Truth (1)
← Truth: Zero of Equilibrium Truth | Truth (2A) →
Cross Reference
Verities, null
Cross-References
- Conceptual Totality, null
- Industry as Broadcasting of Truth to Individualism
- Lies
- Local Truth
- Lying
- Spontaneous Truth of Childhood
- Youth, Truth & Love

Truth (2A)
Cross Reference
Child Sequence-, (4)
Rememberable Names, 14 Jan'74
Cross-References
- Architecture, Jan'34
- Axiom, Jun'66*
- Communications, Oct'70
- Differentiation, 20 Dec'71*
- Epigenetic Landscape, May'49*
- Industrialization, 1928
- Integrity, 11 Aug'70
- Intellection, Oct'66
- Lying, 9 Dec'73
- Measurement, (1)
- Middle, Feb'73*
- Metaphysical, 23 Dec'68*
- Pendulum Model vs. Scenario Model, 23 Dec'68*
- Radiation-gravitation Sequence, (3)
- Reciprocity, (4)
- Relativity, May'49*
- Trim Tab, 8 Jan'66
- Vector Equilibrium
- Possession, 10 Jun'74

Truth (2B)
Cross Reference
Cross-References
- Mistake, 7 Nov'75
- Self-discipline
- Womb of Permitted Ignorance, (2)

Truth (3)
Cross Reference
See Truth & Love
Truth: Zero of Equilibrious Truth
Cross-References
- Truth \& Love
- Truth as Progressive Diminution of Residual Error
- Truth: Thinking About Truth Alters Truth
- Truth-trends
- Truth & Nontruth

Tube (1)
Cross Reference
Pipe
Plastic Tube of Universe
Rod
Geodesic Spiral Tube
Cross-References

Tube (2)
← Tube (1) | Tuck in a Plane →
Cross Reference
Wind Stresses & Houses, (10)
Cross-References
- Curvature: Simple, (1)
- Plastics, 10 Aug'70
- ahedron as Conservation & Annihilation Model, Oct

Tuck in a Plane
← Tube (2) | Tuck in the Universe →
Cross Reference
Cross-References
- Visibility, 19 Jun'71

Tuck in the Universe
Cross Reference
Cross-References
- Disparity, 1960

Tuck
← Tuck in the Universe | Tunability →
Cross Reference
Tetrahedral Tuck
Cross-References
- Takeout

Tunability
Index Entry
Tunability:
"You can get a new Universe every time you get a new tuning. But they are all complete Universes; they are all systemic.
"The multipliability and infinite range of frequency of modular subdivisibility of the primitive whole system and the multiplicity of optional intertransformabilities accomplishable at alternate frequencies and durations provides the synchronous and dissynchronous overlappability of episodes of Scenario Universe as always uniquely tuned in by the variable cognition relay lags of any individual tuners."

Tunability
RBF Definitions
"You can get a new Universe every time you get a new
tuning. But they are all complete Universe; they are
all systcmic."
Citations
- RBF to EJa, 3200 Idaho, Wash, DC: 23 Apr'76

Tunability
Index Entry
Tunability:
"Convergence to frequency magnitude is tunability. As with all wave phenomena, tunability is in terms of whole cycles converging to a vertex. . . "
- Citation and context at Cycle, 10 Feb'73

Tunability
RBF Definitions
"Any point can tune in any other point in Universe. All that
is necessary is that they both employ the same frequency, the
same resonance, the same system, center to center."
- Citation at Point, 16 Nov'72

Tunability
Index Entry
When we speak of allspace filling, we refer only to a conceptual set of in-time local relationships. This is what we mean by tunability.

Tunability
Index Entry
Tunability:
"The eye can resolve intervals of about 1/100th of an inch, or larger. Below that we do not see the aggregates as points. Thereafter we see only 'solid' color surfaces. But our color receptivity, which means our only-human-optics-tunable range of electromagnetic radiation frequencies cannot 'bring in,' i.e., resonatingly respond to, more than about one-millionth of the now known and only instrumentally tune-in-able overall electromagnetic frequency range of physical Universe. This is to say that humans can tune in directly to less than one-millionth of physical reality, ergo cannot 'see' basic atomic and molecular structuring events and behaviors, but our synergetic tensegrity principles of structuring are found instrumentally to be operative to the known limits of both micro- and macro-Universe system relationships as the discontinuous, entropic, radiational, and omni-cohering, collecting, gravitational sytropics."
- Cite SYNERGETICS draft at Sec.\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-713.06713.06, 19 Oct'72

Tunability
Index Entry
Tunability:
"Apprehension means information furnished by those wave frequencies tune-in-able within man's limited sensorial spectrum."
- Cite SYNERGETICS, "Universe," \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/300-universe#section-302.00302. 1971

Tunability
Index Entry
Tunability:
"Any large auditorium could theoretically accommodate the physical presence of more then 100,000 radio sets each of which could be tuned in simultaneously to receive a program different from any and all of the others for today there are at all times more than 100,000 different programs being broadcast coincidentally from places around the Earth. There are everywhere invisibly present those more then 100,000 programs, purveying very real information permeating our space, passaging our walls and our bodies. All and more of the phenomena that yesterday were assumed to be mystical or magical are now physically explicable and deliberately employable."
- Cite ARCHITECTURE AS ULTRA INVISIBLE REALITY, Dec. '69

Tunability
Index Entry
Tunability:
"At almost any spot anywhere around the earth there are always thousands of different radio or TV programs silently and invisibly present. With a wide band radio set we can tune any one of their "12" components of the environment, in the same way the other factors tune in or out."
- Cite NASA Speech, pp 33,34
Jun'66

Tunability
Index Entry
Tunability:
"Not only does man have a very narrow range of tunability in the electromagnetic spectrum where he can actually see, but he also has a very narrow spectrum of motion apprehension. He cannot see the hands of the clock moving or the stars or any of the atoms in motion."
-
Cite THE YEAR 2000, San Jose State College Mar'66
-
Citation & context at Extrasensoriality. Mar'66

Tunability
Index Entry
A wave is a principle. Discovering that we have waves which are tunable waves, which we will call the spectrum of light, and that we have waves of the air which we call sound, and other kinds of waves, there are tunable limits to what hear and then we get into infra and ultra sonic. We recognize then that we have a very small spectrum of tunability in respect to each one of our apprehending capabilities, Recognizing then that we have discovered this wave that operated in the phenomena water, milk or whatever it was, and yet was not a tunable wave. It was not in the spectrum of tunability, but yet we got information from it by what we call step-up or step-down transformations. Time and again as scientists we go through step-up and step-down frequencies and bring things into the audible range by relayings and stepping-up until finally we get the messages coming over the air, coming out of electromagnetic waves, and we put these together as familiar sounds.

Tunability
RBF Definitions
When television or radio waves pass through the walls of a house, when light waves pass through a window or a lens, there are always some comprehensively relayed local jostlings, some sets of submicroscopic eddies of force that accommodate the push through. The complementary effect-- what in conversational language is the 'resistance' of the wall, window or lens-- and what in synergetics is called the precessionally shunted pattern relay." - Citation and context at Wave, 1960

Tunability
← Tunability | Tunability - Convergence →
Index Entry
Tunability:
"Newly recognized generalized principles seem emergent in
unprecedentedly accelerating accumulation as reported from the
instrumentally extended range, velocity, and exactitude of
special case experiences in the most recent moments of history's
scientific venturing. The manywhere local probings have been
meticulously organized and reported regarding measurable relationships and rates of changing relationships throughout the vast macrocosmic and exquisite microcosmic angle and frequency
Universe events both infra and ultra to man's direct tunability
yet instrumentally tunable and transformably readable within regenerative informative tolerance despite inherently limited
observational exactitude."
- Cite INTRODUCTION to OMNIDIRECTIONAL HALO, p.120, 1959

Tunability - Convergence
← Tunability | Tunability: Intra & Ultra →
Cross Reference
Cross-References
- Convergence, 10 Feb'73

Tunability: Intra & Ultra
← Tunability - Convergence | Tunability: Infra & Ultra (1) →
Index Entry
Tunability: Intra & Ultra:
"Universe is the sum total of all men's progressively sensed, imaginable, and telsaologically translated experience by inherency of man's available circuit tuning limits and relative feedback lags. All man's experiences may not be consciously tuned in. Ergo Universe is both ultra- and intra-tunable. Ergo Universe is simultaneously untunable and only progressively thinkable."
- Citation at Universe, 1954

Tunability: Infra & Ultra (1)
← Tunability: Intra & Ultra | Tunability: Infra & Ultra (2) →
Cross Reference
Infra & Ultra Tunable: Infra & Ultra Visible
Cross-References
- Infratunable
- Non-sensoriality: Infra & Supra

Tunability: Infra & Ultra (2)
← Tunability: Infra & Ultra (1) | Tuning - Dismissal of Irrelevancies →
Cross Reference
Cross-References
- Minimum of Four Tetrahedra, 22 Feb'77
- Polyhedra, 18 Jul'76
- Silence, 30 Sep'76
- Somethingness & Nothingness, 7 Oct'75
- Thinkaboutability, 8 Feb'76
- Universe, 1954
- Visibility & Invisibility of Systems, (1)
- Tetrahedron as Microsystem, 12 May'77
- Tetrahedron, 8 Aug'77

Tuning - Dismissal of Irrelevancies
← Tunability: Infra & Ultra (2) | Tune-in-ability →
Cross Reference
Cross-References
- Tuning, 20 Jan'75

Tune-in-ability
← Tuning - Dismissal of Irrelevancies | Tunble Set: Tumed-in Set →
Index Entry
Tune-in-ability:
"Humans' senses... and possibly an ultra-high-frequency electromagnetic wave tune-in-ability."
- Citation & context at Human Mind & Physical Evolution, (4)(5)
5 Jun'75

Tunble Set: Tumed-in Set
Cross Reference
Tunble Set: Tumed-in Set
Cross-References
- Death, 29 Mar'77
- Human Beings & Complex Universe, (4)

Tuning
← Tunble Set: Tumed-in Set | Tuning-in & Tuning-out →
Index Entry
Tuning:
"Tuning = dismissal of irrelevancies. Those too large and too low frequency are dismissed omnidirectionally. Those too small and too high frequency are dismissed inwardly. The tuning phenomenon is either inward or omnidirectional."
-- Incorporated in SYNERGETIC 2 draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-526.17526.17
- Cite RBF videotaping sessipn Philadelphia, Pa., 20 Jan'75

Tuning-in & Tuning-out
← Tuning | Tuning-in & Tuning-out (1) →
Index Entry
Tuning-in & Tuning-out:
"Out is any direction. You go in to go out because out is not only any direction but is all directions--electro-magnetically speaking it is 'tuned-out.' In is what we are thinking about now. In is the momentary reality into which we are tuned. All the rest is for the moment tuned-out but equally real as progressively tuned-in.
"Physics finds that Universe has no solid things surrounded by and interspersed with space. Life is an inventory of in-and-out tunings. Birth is the first tuning-in; death may not be the last."

Tuning-in & Tuning-out (1)
← Tuning-in & Tuning-out | Tuning-in & Tuning-out (2) →
Cross Reference
Interference & Nonintereference
Cross-References
- Irrelevancies: Dismissal Of
- Sorting
- Thinkability
- Tunability
- Articulated & Unarticulated
- Somethingness & Nothingness
- Frequency & Interval
- Visible & Invisible

Tuning-in & Tuning-out (2)
← Tuning-in & Tuning-out (1) | Tunability →
Cross Reference
Cross-References
- Synergetics, 17 Oct'77

Tunability
← Tuning-in & Tuning-out (2) | Tunability Tuning (1) →
Index Entry
Minnesota Experimental City Address; Dubuque, IA, 15 Dec'71; pp. 18-19
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-225.03225.03
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-228.01228.01
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/300-universe#section-306.02306.02
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-400.02400.02-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-400.03400.03
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-426.01426.01-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-426.02426.02
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-426.21426.21
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/400-system#section-426.46426.46
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-515.21515.21
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-515.33515.33
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-522.31522.31
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/700-tensegrity#section-780.13780.13
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-960.08960.08
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-971.20971.20
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1011.311011.31
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1023.131023.13
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8262.098262.09
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8263.008263.00: \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-263.01263.01-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-263.04263.04
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8268.018268.01-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-268.06268.06
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8269.018269.01-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-269.05269.05
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8326.098326.09
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8526.158526.15-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-526.16526.16
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8526.278526.27-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-526.27526.27
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8526.338526.33-\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-526.35526.35
\hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-8530.118530.11
81053,826
81053.85

Tunability Tuning (1)
← Tunability | Tunability Tuning →
Cross Reference
Finitely Tuned Somethingness
Optical Tuning Crystal
Step-ip, Step-down Transformation
Infratunable
Cross-References
- Conceptual Tuning
- Electromagnetic Spectrum
- Equi-interval = Tuned
- Frequency Modulation
- Instrumentation
- Intellectually Tunable
- Invisible Motion
- Invisible Operation of Thousands of Radio Programs
- Invisible Reality
- Minimum Tunability
- Optical Tuning & Scanning
- Radio Tuning Crystal
- Sensorial Spectrum
- Intertunable
- Ultratunable

Tunability Tuning
← Tunability Tuning (1) | Tunability Tuning (2) →
Cross Reference
Transmission: Consciously Tuned
Tunability = Convergence
Cross-References
- Telepathic Tunability
- Tetratuning
- Time-sizing
- Unpremeditated Tuning
- Tune-in-ability
- Somethingness
- Subtunability
- Untunable: Untuned
- Organic Tunability
- Valving: Valvability
- Vertexes = Tunings

Tunability Tuning (2)
← Tunability Tuning | Tunability Tuning (2B) →
Cross Reference
Cross-References
- Accommodation, 1960
- Apprehension, 1971
- Cycle, 10 Feb'73*
- Design Covariables: Principle Of, 1959
- Equi-interval, 17 Feb'73
- Environment Events Hierarchy, (2)
- Extrasensoriality, Mar'66*
- Infinite, 1955
- Instrumentation, 1963
- Isotropic Vector Matrix, 30 Nov'72
- Omnidirectional, 1954
- Pattern, 1954
- Point, 16 Nov'72*
- Principle, 12 Jun'50
- Scenario Principle, 1959
- Spheric Experience, 20 Feb'73
- System Zoneness, 8 Jan'55
- Touch, 29 Dec'58

Tunability Tuning (2B)
← Tunability Tuning (2) | Tunability Tuning (3) →
Cross Reference
22 Jun'77
Zoned System: Zoned Limits, 1954
Cross-References
- Universe, 1954
- Wave, 1960
- Wave Pattern of Stone Dropped in Liquid
- Allspace Filling, 22 Oct'72*
- Nonpolarized, 12 Nov'75
- Compoundings of Systems, 10 May'76
- Aural, 22 Feb'77
- Olfactoral, 22 Feb'77
- Tactile, 22 Feb'77
- Visual, 22 Feb'77
- Wave Pattern of a Stone Dropped in Liquid, 22 Jun'77
- Human Beings & Complex Universe, (4)(5)

Tunability Tuning (3)
← Tunability Tuning (2B) | Turbining →
Cross Reference
Cross-References
- Tunability
- Tunability: Infra & Ultra
- Tuning = Dismissal of Irrelevancies
- Tune-in-ability
- Tunable Set: Tuned-in Set
- Tuning-in & Tuning-out

Turbining
← Tunability Tuning (3) | Turbining-counterturbining →
Index Entry
Turbining:
"We have said that this is a vector equilibrium and in a zero-condition and is non-reality. Nature would not permit it but a minute after that these six edges turbine around that point one way or another and you see plenty of the models of the lines turbining,abound will have to say that there had to be a moment theoretically when this plane went from being a positive tetrahedron to a negative tetrahedron which it could be, and had theoretically to pass through that point."
-
Cite Oregon lecture #2, p. 237, 11 Jul'62
-
Citation & context at Vector Equilibrium: Zero Tetrahedron (3), 11 Jul'62

Turbining-counterturbining
← Turbining | Turbining Model →
Cross Reference
Male & Female Turbining Hubs
Cross-References

Turbining Model
← Turbining-counterturbining | Turbine Turbining (1) →
Cross Reference
Cross-References
- Hole in the Victrola Disc, 24 Jan'75

Turbine Turbining (1)
← Turbining Model | Turbining Turbinal Turbine (2) →
Cross Reference
Turbine Model
Cross-References

Turbining Turbinal Turbine (2)
← Turbine Turbining (1) | Turbo-system →
Cross Reference
Tensegrity Masts: Pentagonal Polarity, 27 Dec'76
Cross-References
- Irreversibility, 4 May'57
- Parity, 1967
- Tensegrity: Vertexial Connections, Dec'61
- Vector Equilibrium: Zero Tetrahedron, (2)(3)
- Wire Wheel, 4 May'57
- Crystallography, 17 Aug'70
- Stark, Apr'44
- Duality of Universe, May'49

Turbo-system
← Turbining Turbinal Turbine (2) | Turbulence Model →
Cross Reference
Cross-References
- Convergence & Divergence, 1955

Turbulence Model
Cross Reference
Turbulence Model:
Cross-References
- Rubber Tires, 24 Jan'75

Turbulence
Cross Reference
Transformations, 10 Oct'50
Cross-References
- Relative Asymmetry Sequence, (1)
- Weather, Feb'73

Turn
← Turbulence | Turnaround Limit (1) →
Index Entry
Turn:
"You will be turning, or angularly reorienting your direction."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-539.06539.06, 23 Sep'73

Turnaround Limit (1)
← Turn | Turnaround Limit (2) →
Cross Reference
Cross-References
- Spherical Wave Terminal Limit Velocity, (1)

Turnaround Limit (2)
← Turnaround Limit (1) | Turnaround (1) →
Cross Reference
Cross-References
- Nuclear Sphere, 16 Dec'73

Turnaround (1)
← Turnaround Limit (2) | Turnaround (2) →
Cross Reference
Turnaround:
Cross-References

Turnaround (2)
← Turnaround (1) | Turtle Dome →
Cross Reference
Cross-References
- Syntropy & Entropy
- T Quanta Module, (1)(2)

Turtle Dome
← Turnaround (2) | Turtle Dome →
Index Entry
Turtle Dome:
"Look at this turtle. This is the way I am going to do another dome... where the outer ring is continually opening from the inside out, so it gets to be bigger. You build on the inside and it keeps on unrolling. You get to a great conch shell and every time the creature pushes more goo out-- the creature keeps pumping in and out--it gets built on the outer rim as he keeps pushing it out. The big turtle does not have more rings than the small one, he just has bigger ones. All the plates grow locally.
"How do you make a whole building grow? I saw that this was a way to make a whole geodesic dome grow; where the hexagons simply grow you can have an expandable dome with no trouble at all. Local finite closures: expanding each hexagon from the inside. That solves the problem when people say you can add to a rectangular building but you can't add to a dome. But you can in this way. Notice how long the turtles live. They last out pretty well; they can accommodate their growth with a hard shell."

Turtle Dome
← Turtle Dome | Turtle Hex-pent →
Cross Reference
Cross-References
- Evaginating, 22 Jun'75

Turtle Hex-pent
Index Entry
The back of a turtle is a combined pattern of pentagons and hexagons: a hex-pent matrix. As the turtle grows, each individual hex-pent pattern adds a new ridge in the outer edge. This is apparent when you closely examine the turtle's back.
The process is analagous to how I have provided for the organic growth of geodesic hex-pent domes, which could be done just by inserting successive caulkings or layerings around each hex-pent module.

TV
← Turtle Hex-pent | The TV Generation →
Cross Reference
Cross-References

The TV Generation
Cross Reference
Cross-References
- Daddy, (1)(2)
- Young World, 4 Jul'72 (1)

Twelve
← The TV Generation | Twelve →
Index Entry
There were systems based on modulo twelve.
The system was in twelves
For the very simple reason that the decimal system doesn't embrace the number three rationally.
Since they had so many threefold experiences,
And the triangle was so important,
They really wanted something that would embrace it evenly.
So they came to twelve.

Twelve
← Twelve | Twelve Alternate Options of Action →
Index Entry
Twelve:
"Inasmuch as there are always and everywhere twelve fundamental degrees of freedom ( six positive and six negative) and since every energy event is characterized by a three-fold vectoring-- an action, a reaction and a resultant-- all structures, symmetrical or asymmetrical, regular or irregular, simple or compound, will consist of the twelve-foldedness or its various multiples."
-
Cite RBF Holograph, "Structures," dated 25 december 1968
-
Citation & context at Structure, 25 Dec'68

Twelve Alternate Options of Action
← Twelve | Twelve-Inch Steel World Globe (1) →
Index Entry
Twelve Alternate Options of Action:
"The octet truss is the evolutionary patterning, intervectoring, and intertrajectory-ing, of the ever-recurrent 12 alternative options of action, all 12 of which are equally the most economical ways of self-and-otherness interbehaving-- all of which interbehavings we speak of as Universe."
- Citation and context at Octet Truss, 24 Sep'73

Twelve-Inch Steel World Globe (1)
← Twelve Alternate Options of Action | Twelve-Inch Steel World Globe (2) →
Index Entry
Twelve-Inch Steel World Globe:
"I want to share with you a little exercise I frequently give myself in order to decondition my subconscious reflexing whenever that reflexing produces spontaneous behavior in ways that we know through experience to be ignorant, inept, irrelevant, and evolution-frustrating. This is my cosmological exercise. I think about the following: The planet Earth is about 8000 miles in diameter. The highest mountain is five miles above sea level. The deepest ocean is five miles below sea level. There is a ten-mile differential between the innermost and outermost aberrations in the spheric surface of our Earth. Ten miles in relation to 8000 miles is 1/800.
"If you take a twelve-inch world globe of polished steel, it probably has greater radial dimension aberration than 1/800 of its diameter. Astronauts cannot see any signs of humans aboard our planet as they approach the Earth from the Moon. They do not even see mountains. They see only a polished, color-marbleized ocean and continents' pattern through the dominant cloud cover. The average height of humans of all ages is about five feet. There are approximately 5000 feet in a mile. If 1000 humans made a column by standing on one another's heads, we could make a column ten miles high. Ten miles is the"

Twelve-Inch Steel World Globe (2)
← Twelve-Inch Steel World Globe (1) | Twelve-Inch Steel World Globe (3) →
Index Entry
Twelve-Inch Steel World Globe:
"difference between the deepest ocean and the highest mountain. So you and i, then, are 1/10,000 of invisible on our twelve-inch globe. Now 75 percent of our planet Earth is covered with water and another 20 percent is uninhabited for one 'frozen mountain' reason or another. Our 3.6 billion Earthian humans are invisibly secreted in fractional percentages on those little continents, with six percent in Central and South America, eight percent in North America, ten percent in Africa, 20 percent in Europe, and 50 percent in Asia.
"The diameter of the star Sun is exactly 100 times that of our 8000-mile diameter Earth. With an engineer's scale you can see 1/50 of an inch, but you can't see 1/100 of an inch-- it is a blur. If you make a little circle of wire one-inch in diameter and hold it at arm's length from your eye, you will find that it matches the size of the perimeter of the white-ghost disk of the Sun on a day when the Sun can be looked at through thin clouds. And so, against that one inch, the 1/100 of an inch that is our earth's diameter would not be visible."
"The star Betegeuse in the constellation Orion, has a diameter"

Twelve-Inch Steel World Globe (3)
← Twelve-Inch Steel World Globe (2) | Twelve-inch Steel World Globe (2) →
Index Entry
Twelve-Inch Steel World Globe:
"larger than that of the orbit of the Earth around the Sun. Betelgeuse is one of the big stars. Our Sun is one of the small stars. There are 100 billion stars in our galaxy. There are a billion other such galaxies within the 22-billion-diameter sphere of observation of Mount Palomar's 200-inch 'reflector.' Ninety-nine percent of the 100 quadrillion 'known' stars are beyond the range of the naked eye, but altogether they form, in effect, a thickly galactic, spherical-cloud array omnisurrounding us, at whose 66 quintillion-mile-radius center is located our little Milky Way galaxy and, deep within it, our minuscula solar system, deep within which rotates and orbits our minuscule Earth. That will give you an idea of what a fantastically negligible cosmic speck is this Earth of ours. We are 92 million miles away from the Sun, and we receive all our life supporting energy from it.
"If our local 'gas station,' the Sun, ran out of life supporting energy, the next closest refueling star is 25 trillion miles away. Its'light gets 4-2/3 years to get to us-- coming at 700 million miles an hour. So when someone says, 'Never mind that space stuff-- let's get down to Earth; Let's be practical!' pay no attention. We are nothing but a space program. We are so"

Twelve-inch Steel World Globe (2)
← Twelve-Inch Steel World Globe (3) | Twelve-Inch Steel World Globe →
Index Entry
Twelve-inch Steel World Globe:
"physically negligible as to be approximately space itself.
"I don't think that stars are paying much attention when one of those little 3½ billion specks on board this almost invisible Earth says, 'We can't afford it.' I don't think the Sun is saying, 'We can't afford to keep those people living on planet Earth because they haven't paid their bill.' The Universe is not concerned with how Earthians raise millions of something they call dollars."
(4)
(2)
- Cite THINKING OUT LOUD: WE ARE NOTHING BUT A SPACE PROGRAM, World Mag., 17 Jul'73

Twelve-Inch Steel World Globe
← Twelve-inch Steel World Globe (2) | Twelve-inch Steel World Globe →
RBF Definitions
(A)
"...And Professor Goddard then said: Here's our planet Earth
going around the Sun at 60,000 miles an hour. And you and I are
on board with it going at 60,000 miles an hour around the Sun.
If we take any of the objects on board in this co-orbiting of
the Sun, and accelerate one of them, as it leaves this Earth
every time it doubles its distance away, the attraction-- the
tendency to fall back in-- is only one-quarter of what it had
been before. It wouldn't have to go very far out before there
would be no tendency to fall back in at all. That is you would
then be affected by other bodies in the Universe. Out of this
came our rocketry but very few people would have really pictured
this in any kind of a model form. To get a little idea-- when
we were first told that the vehicles being rocketed into the
sky had gone into orbit the altitude that they did so was about
100 miles out from the planet Earth. You and I, with the highest
mountain at five miles, and the highest flying jet plane flying
at about ten miles out, 100 miles is way out. And it is so far
out that people don't start to try to picture it.
"But I'd like you to take a twelve-inch globe representing an
8,000-mile diameter Earth: and 100 miles in relation to 8,000
miles is 1/80th. And you'll find then that if you take a
twelve-inch globe, the thickness of a paper match, the thinness"
Citations
- RBF Address, transcript p.5, Tel Aviv, 16 Jun'72

Twelve-inch Steel World Globe
← Twelve-Inch Steel World Globe | Twelve-Inch Steel World Globe →
Index Entry
Twelve-inch Steel World Globe:
"of a paper match, gives you 100 miles. So if you glue just a little paper match on to a twelve-inch globe, that's the altitude at which it goes into orbit. In other words its just presumably almost still in the print of that globe. In other words, then, almost no distance at all when the other bodies take over. And at this point we say it goes into orbit. Instead of trying to fall in, it now goes off in orbit at 90 degrees. Now this is very strange because 180 degrees is what we had with the falling-in, it now goes off in orbit at 90 degrees. Now this is very strange because 180 degrees is what we had with the falling-in and now suddenly it's going at 90 degrees-- going around. The effect of bodies in motion on other bodies in motion is what we call precession. And precession is to affect them at angles other than-- they do not tend to at 180 degrees of faling-m-- but to operate at angles tangent, sometimes 90-degreeness, sometimes maybe at other angles, but primarily in the 90-degree range. Okay?
"if you think about the dimension that I've just given you in relation to our tiny little Earth, and to think about the distance to our own Sun, 92 million miles, or the next nearest"

Twelve-Inch Steel World Globe
← Twelve-inch Steel World Globe | Twelve Pentagons →
Index Entry
"star-- it takes light coming at 700 million miles an hour, it takes 4 and 2/3rds years for the light to get to us. That's from just the nearest star in the whole of Universe. Our little 8,00-mile globe is a very small thing, and just 100 miles out from it and you don't tend to fall back in. In fact you find that 99.9999999 percent of Universe you'd do nothing about falling into anything else. You'd just be in orbit. 'Falling-in' is a very unique condition."

Twelve Pentagons
← Twelve-Inch Steel World Globe | Twelve Pentagons (1) →
Index Entry
Twelve Pentagons:
"In every geodesic sphere, you can always take out 12 pentagons. These 12 pentagons each drop out one triangle from the hexagonal clusters around all other points. Assuming the dropped-out triangles to be equiangular, i.e., with 60-degree corners, this means that 60 x 12 = 720°, which has been eliminated from the total inventory of surface angles. You can always find 12 pentagons on spherically conformed systems such as oranges, which are icosahedrally based; or four triangles with 120-degree corners if the system is tetrahedrally based; or six squares where the system is octahedrally based."
- Citation & context at Geodesic Sphere, (2)(3), Aug'71

Twelve Pentagons (1)
← Twelve Pentagons | Twelve Pentagons (2) →
Cross Reference
Cross-References

Twelve Pentagons (2)
← Twelve Pentagons (1) | Twelve Universal Degrees of Freedom →
Cross Reference
Cross-References
- Geodesic Sphere, (2)(3)
- Dodecahedron, 23 Feb'72

Twelve Universal Degrees of Freedom
← Twelve Pentagons (2) | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"Everything in Universe is divisible by two. There will always be two poles to any system. Unity is two.
"All the aspects of the constant relative abundances of facings, crossings, and lines are divisible by two: two faces, four crossings, and six edges. Thus there are six vectorial moves for every event; and each of the vectorial moves is reversible, hence 12. Positional differentials in Universe derive only from the sixness of the 12 degrees of freedom."

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"The behavioral interpatternning frame of reference of the six degrees of freedom in respect to omnidirectionality is, of course, the vector equilibrium, which embraces the three-dimensionality of the cube and the six-dimensionality of the vector equilibrium. Experience is inherently omnidirectional; ergo there are always a minimum of twelve 'others' in respect to the nuclear observing self.
"The 24-positive- and 24-negative-vectored vector equilibrium demonstrates an initially-frequenced, tetrahedrally quantized unity of 20; ergo the Universe, as an aggregate of all humanity's apprehended and comprehended experiences, is at minimum a plurality of 24 vectors."
- Cite SYNERGETICS, 2nd. Ed. at \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-537.00537.T4, 19 Nov'74

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"With each and every event in Universe, no matter how frequently recurrent, there are always twelve unique, equieconomical, omnidirectionally operative, alternative action options: which twelve occur as four sets of three always interdependent and concurrent actions, reactions, and resultants."
- Citation & context at Gravity (a), 12 Jun'74

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"Each of the six positive and six negative energy lines impinging on every nonpolarized point ('focal event') in Universe has a unique and symmetrical continuation beyond that point. The six positive and six negative vectors are symmetrically arrayed around the point. Consequently, all points in Universe are inherently centers of a local and unique isotroic-vector-matrix domain containing 12 vertexes as the corresponding centers of 12 closest-packed spheres around a nuclear sphere."
- Cite SYNERGETICS text at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-537.11537.11; galley rewrite 7 Nov'73

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"Universe has always operative 12 uniquely alternate degrees of freedom of realization of physical events."
- Citation and context at Inventability Sequence (2), 9 Jul'73

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"Gibbs deals with energy associative as matter, and what the degrees of energetic freedom may be within a local physical complex, and what amounts of energy would have to be added locally to bring about other states."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1054.121054.12, 6 Mar'73

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"First powering expresses only one vector, i.e. 1/12th of relevant system potential."
- Citation and context at Powering: One Dimension, 14 Oct'72

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"... Synergetics is so true as to become real because part of the conceptuality is the lags which bring in the six degrees of freedom."
- For citation and context see Timeless, 1 Apr '72

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"The eternality of the generalized principles brings about differential lags, the aberrations in the rates of recall. Differential lags are inherent in the mathematics of the twelve universal degrees of freedom of the vector equilibrium which characterizes an event in pure principle. The six vectors of an event can be articulated linearly or in a hexagonal circle. It is inherent in the mathematics of the degrees of freedom which demand the invention of time due to the varying rates of recall of observation of the behavior of the vectors."
- Cite RBF to EJA, 3200 Idaho, Wash DC, 29 May'72

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"With respect to every nonpolar point in omnitriangulated systems there are three lines, or edges, networking the surface. There are also always three lines (which can be regarded either as tetragonal edges or vectors) connecting the points by omnitriangulation either to the next inwardly or outwardly concentric omnitriangulated point layer.
"It follows from this that every nonpolar point in the energy Universe monopolizes an inherent inventory of six energy lines. Of even more significance is the fact that each of these six energy lines, impinging on every nonpolarized point (focal event) in the Universe has a unique and symmetrical continuation beyond that point. The continuation of the lines can be regarded as negative vectors. The six positive and six negative vectors are symmetrically arrayed around the point. Consequently, if we exclude two points in Universe, all other points in Universe are inherently the center of a local and unique(vector-equilibrium-domain) isotropic vector matrix containing 12 vertexes as the corresponding centers of the 12 closest packed spheres around a nuclear sphere."
- Cite MARKS, p.47, as rewritten by RBF Feb'72 /SUPERSEDED BY RBF GALLEY REWRITE 7 NOV'737

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
"The connection between the six degrees of freedom and omnidirectionality is, of course, the vector equilibrium, which combines the threeness of the cube in relation to 20 as unity = VE. Experience is inherently omnidirectional. Ergo, there is not just one 'other.' There are always at least 12 'others.' Ergo, vector equilibrium, which is subfrequency. Happenability has the vector equilibrium as its minimum model, ergo the Universe, experience, can't be one quantum."
- Cite RBF to EJA, Bear Island, 25 August 1971.

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"It is experientially demonstrable that the structural interpatternning principles governing all the atomic behaviors are characterized by triangular and tetrahedral based associations governed by the twelve degrees of freedom."
- Citation and context at Nucleated Systems: Idealistic Vectorial Geometry Of:, 14 Feb'72

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
In synergetics a 'line' is "the axis of intertangency of unity as plural and minimum two. . . The line becomes the axis of spin. Even two balls can exhibit both axial and circumferential degrees of freedom."

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"...There are always and everywhere 12 fundamental degrees of freedom (six positive and six negative)..."

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"In order to be able to think both finitely and comprehensively, in terms of total systems, we have to start off with universe itself as a closed finite system which misses none of the factors. We must also include all the universal degrees of freedom. Though containing the frequently irrational and uneconomic XYZ dimensional relationships, universe does not employ the three dimensional frame of reference in its ever-most-economical, omni-rational coordinate system transactions. Nature does not use recti-linear coordination in its continual intertransforming. Nature coordinates in twelve alternatively equi-economical degrees of freedom-- six positive and six negative. For this reason twelve is the minimum number of spokes you have to have in a wire wheel in order to make a comprehensive structural integrity of that tool. You have to have six positive and six negative spokes to offset all polar or equatorial diaphragming and torque."

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"Experiments show that there are six positive and six negative degrees of fundamental transformation freedoms, which provide twelve alternate ways in which nature can behave most economically upon each and every energy event occurrence."
- Cite NASA Speech, p. 37, Jun'66

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"A basic event consists of three vectorial lines: the action, the reaction, and the resultant. This is the fundamental tripartite component of Universe. One positive and one negative event together make one tetrahedron or one quantum unit. The number of vectors (or force lines) cohering each and every subsystem of Universe is always a number subdivisible by six; i.e., consisting of one positive and one negative event, each of three vectors which adds up to six. This holds true topologically in all abstract patterning in Universe as well as in fundamental physics. The six vectors represent the fundamental six, and only six, degrees of freedom in Universe. Each of these six, however, has a positive and a negative direction and we can speak therefore of a total of twelve degrees of freedom. These twelve degrees of freedom can be conceptually visualized as the radial lines connecting the centers of gravity of that central sphere. The twelve degrees of freedom are also then identified as the push-pull directions of the tetrahedron's six edges."

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"Once a closed system is recognized as exclusively valid,
the list of variables and the degrees of freedom are closed
and limited to six positive and six negative alternatives
of action for each local transformation event in Universe.
- Cite KEYNOTE VISION 65, p. 120, 21 Oct'65

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Here are some drawings I made to show the different degrees of freedom for a mast. if I wanted to have a mast on the face of the Earth it would take me a minimum of three legs, and a tension member to hold these legs down: so it takes four members. I can have one compression member and three tension members or three compression members and one tension. It always comes out four. I can put the hole in the ground and we will find that there is still the four. We will find that we might have to have the mast bending over like that, and it would take two tension members going up to hold it: that is called a gin pole; and then it takes a fourth member of gravity to pull this end down so there are four members operating. You could do that with two compression legs, sometimes called a jack in the Navy, and one tension member and gravity: four members every time. So there are the four degrees of freedom and the local twist you will remember which gave us twelve.1 began to see then that we would always have these kinds of fournesses always operative.

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"Suppose we start with universe as a closed system of complementary patterns, that is regenerative, that is, adequate to itself, that has at any one moment for any one of its subpatterns twelve degrees of freedom. There is an enormous complexity of choice. We will start playing this game and it is the most complicated game of chess that has ever been played. We start to play the game with universe but there must be integrity from now on. You made that move and from there you can make so many moves. The number of moves that can be made are really billions fold or quadrillion fold of the sum total of complexity of the moves that can be made in that universe."
-
Cite Oxford Lecture #5 - p. 172, 9 Jul'62.
-
Citation & context at Chess: Game of Universe, 9 Jul'62

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"We find that in the twelve degrees of freedom, the freedoms are all equal, but they are all of minimum effort."
(Adapted.)
- Cite OREGON Lecture #5 - p. 178, 9 Jul'62

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"Thus I found a mathematics of natural coordination fundamentally governing the universally constant and alternate minimum of 12 unique vectors of freedom, each of equally minimum energy involvement. Out of the 12 vectors of unique and alternate freedoms of nature's fundamentally accommodating coordinations, there emerged a comprehensive hierarchy of entirely rational mathematical relationships apparently governing all known fundamental transformation behaviors of nature. . . . [synergetic geometry] . . . which also proved to be everywhere the most economically accommodating to the inherently diverse local effects of the sum total universal coordinations, and respective progressions, of local energy investments."

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom →
Index Entry
Twelve Universal Degrees of Freedom:
"For every point in universe there are six uniquely and exclusively operative vectors.
"Each vector is reversible having its negative alternate.
"Every point may export all or any of its six positive or six negative vectors by importing like numbers."
"Each point in Universe could be said to have twelve unique and exclusive vectors, but one set of six is operative and its alternate reverse set is only potential."
-
Cite COLLIER-a, p. 113. Oct'59
-
Citation at Vector, Oct'59

Twelve Universal Degrees of Freedom
← Twelve Universal Degrees of Freedom | Twelve Universal degrees of Freedom (1) →
Index Entry
Twelve Universal Degrees of Freedom:
"Each point in universe
could be said to have
twelve unique and exclusive vectors,
but one set of six is operative
and its alternative reverse effect set
is only potential."
- Cite COLLIER'S LTR, A.CHALE, p. 113, Oct'59

Twelve Universal degrees of Freedom (1)
← Twelve Universal Degrees of Freedom | Twelve Universal Degrees of Freedom (2) →
Index Entry
"In regard to your degrees of freedom, these are at minimum twelve for the wire wheel which requires twelve spokes which are the six edges of the combined positive and negative tetrahedra whose vertexes are inherently turbinal and there can be the explosive wheel and the contractive wheel by which all the tensions and compressions are reversed. Then it is to be noted that we need twelve double rim increments between the external terminals of the spokes. This makes 24. My vector equilibrium model shows 24 circumferential vectors and 24 radials. This is the omnidirectional closest packing model of twelve spheres around one. This means a total of 48 vectors representing the two main classes of accelerations of physics: angular (circumferential) and linear (radial). We now have 48 vectors which may be reversed, explosively or contractively, into tension or compression. And tension and compression are not equal opposites as tension tends to arcs of greater radius and compression to arcs of lesser radius, ergo the spiralling arcs of greater radius of tension must finally come back on themselves and are therefore inherently self-closing and finite and account for the comprehensive cohesive integrity of local systems and their intertwined comprehensive adhesiveness" - Cite RBF Ltrs to Lewis E. Lloyd, Dow Chemical economist, Midland, Mich., 4 May'57

Twelve Universal Degrees of Freedom (2)
← Twelve Universal degrees of Freedom (1) | Twelve Universal Degrees of Freedom: General Systems (1) →
Index Entry
Twelve Universal Degrees of Freedom:
"account for the universal cohesive integrity, despite that the compressive arcing to lesser radii of locally islanded associative systems tends to polar contractions which are locally divisive. We therefore tend to local islands of infinitely self-divisive intellectual-observer's considerability, comprehensively cohered by tension. Therefore, I would note that there are seemingly 96 total degrees of freedom of which apparently four are the constants and 92 the variables, as four are essential to the event definition of the system-integrity of the observer himself."
- Cite RBF Ltr. to Lewis E. Lloyd, Dow Chemical economist, Midland, Mich., 4 May'57

Twelve Universal Degrees of Freedom: General Systems (1)
← Twelve Universal Degrees of Freedom (2) | Twelve Universal Degrees of Freedom: General Systems (2) →
Index Entry
Twelve Universal Degrees of Freedom: General Systems: (I)
"I have been tremendously interested... in how we would take the organization of our total information and try to see total information as always interrelated. My own generalizations ... brought me to a clear cut discover of twelve fundamental degrees of freedom governing the external and internal motions and transformations of all independent systems in Universe. In order to be able to think comprehensively and anticipatorily, in terms of total systems, we have to start off with Universe itself as a closed finite system which misses none of the factors. We must also include all the universal degrees of freedom... Nature coordinates in twelve alternatively equi-economical degrees of freedom... six negative and six positive, which cover all variable inter-relationships of Universe. They become the controlling facts governing general systems and thereby such supercomplex systems as the design of a nation's navy or a fundamental program for world resources. I have developed a completely workable generalized systems approach-- starting with the differentiation of Universe, including both the meta-physical and physical... which has permitted progressive"

Twelve Universal Degrees of Freedom: General Systems (2)
← Twelve Universal Degrees of Freedom: General Systems (1) | Twelve Universal Degrees of Freedom : General Systems (3) →
Index Entry
Twelve Universal Degrees of Freedom: General Systems:
"subdivisions in cybernetical 'bits' to bring any local pattern of any problem into its identification within the total scheme of generalized system events. This means that I always start all problem solving with Universe and thereafter subdivide progressively to identify a special local problem within the total of problems.... What ever we call seeing is done in our brains and not on the screen. With our enormous specialization we have powerful insights in a variety of unique directions, but we have very little integrated comprehension of the significance of the total information. I find that not only does our vision have a narrow electromagnetic spectrum range but that also we have a very limited apprehending range within the spectrum of motive velocities. For this reason we see and comprehend very few motions among the vast inventory of unique motions and transformation developments of the Universe.
"Universe is a nonsimultaneous complex of unique motions and transformations. Of course, we don't 'see' and our eyes cannot 'stop' the 186,00 miles per second kind of motion."
- Cite RBF, Univ. of Rhode Island, 26 Aug. '66, p. 199.
12 DEGREES OF FREEDOM, SEC. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-537.30537.30

Twelve Universal Degrees of Freedom : General Systems (3)
← Twelve Universal Degrees of Freedom: General Systems (2) | Twelve Universal Degrees of Freedom: General Systems →
Index Entry
We don't see the atomic motion. We don't even see the stars in motion though they move at speeds of over a million miles per day. We don't even see the hands of the clock in motion. We remember where the hands of the clock were when we last looked and thus we accredit that motion has occurred. In fact, experiment shows that we see and comprehend very little of the totality of motions.
Therefore, society tends to think statically and is always being surprised, often uncomfortably, sometimes fatally. Lacking dynamic apprehension, it is difficult for humanity to get out of its static fixations and specifically to see great trends evolving. Just now man is coming into discovery of general systems theory in his own right. The experimental probing of the potentials of the computers awakened man to realization of the vast complexes of variables that can be mastered by general systems theory. So far, man has dealt but meagerly and noncomprehensively with its powerful planning capability. So far, he has employed only limited systems theory in special open-edged systems-- 'tic-tac-toe' rectilinear grid systems.

Twelve Universal Degrees of Freedom: General Systems
← Twelve Universal Degrees of Freedom : General Systems (3) | Twelve Universal Degrees of Freedom (1) →
Index Entry
Twelve Universal Degrees of Freedom: General Systems:
"My skyocean world map is only one of many devices that could provide man with a total information integrating medium. We are going to have some way for all of humanity to see total Earth. Nothing could be more prominent in all the trending of all humanity today than the fact that we are soon to become world man; yet we are greatly frustrated by all our local, static organizations of an obsolete yesterday."
- Cite RBF, Univ. of Rhode Island, 26 Aug. '66, p. 199.

Twelve Universal Degrees of Freedom (1)
← Twelve Universal Degrees of Freedom: General Systems | Twelve Universal Degrees of Freedom (2A) →
Cross Reference
Phase Rule
Twelve Alternative Options of Action
Cross-References
- Chess
- Degrees of Freedom
- Differential Lag
- Dimensional Reference Frame
- Free Will
- Gibbs
- Omnilibrium
- Man's Degrees of Freedom of Action
- Six Degrees of Freedom
- Vector as 1/12th of Relevant System Potential

Twelve Universal Degrees of Freedom (2A)
← Twelve Universal Degrees of Freedom (1) | Twelve Universal Degrees of Freedom (2B) →
Cross Reference
Nucleated Systems: Idealistic Vectorial Geometry
Of, 14 Feb'72*
owering: One Dimension, 14 Oct'72*
Cross-References
- Awareness, 10 Feb'73
- Basic Event, Dec'71
- Dymaxion, 4 May'66
- Environment Events Hierarchy, (2)(6)
- Game of Universe, 9 Feb'73
- General Systems Theory, (1)
- Gravity
- Individuality & Degrees of Freedom, (1)
- Inventability Sequence, (2)
- Line, 19 Jun'71*
- Nucleated Systems: Idealistic Vectorial Geometry Of, 14 Feb'72*
- Nucleus, 14 Feb'72 (1)(2)
- Other, 25 Aug'71
- Polar Vertexes, 19 Feb'72
- Restraints, 12 Jul'62; Dec'71
- Omniequilibrium, (1)
- Structure, 25 Dec'68
- Tetrahedron, 18 Feb'66
- Timeless, 1 Apr'72*
- Six Motion Freedoms & Degrees of Freedom
- System, 16 Feb'78

Twelve Universal Degrees of Freedom (2B)
← Twelve Universal Degrees of Freedom (2A) | Twelve-around-One (1) →
Cross Reference
Jill, (1)
Cross-References
- Tunability, Jun'66
- Vector, Oct'59*; 15 Oct'72
- Vector Equilibrium, 11 Jul'62

Twelve-around-One (1)
← Twelve Universal Degrees of Freedom (2B) | Twelve-around-One (2) →
Cross Reference
Cross-References

Twelve-around-One (2)
← Twelve-around-One (1) | Twelve (1) →
Cross Reference
Cross-References
- Vector Equilibrium, 23 Oct'72
- Twelve Universal Degrees of Freedom, 7 Nov'73
- Basic Event, Dec'71

Twelve (1)
← Twelve-around-One (2) | Twelve (2) →
Cross Reference
Cross-References
- imal & Duodecimal, Dec
- Heavenly Host Phenomenon
- Tensegrity: Twelve Pentagons
- Otherness: At Least Twelve Others

Twelve (2)
Cross Reference
Frequency: Initial Frequency, 6 Nov'72
Cross-References
- Coupler, 20 Dec'73
- Nuclear Uniqueness, 18 Feb'73
- Structure, 25 Dec'68
- Tunability, Jun'66
- Wire Wheel, 4 May'57
- Thirty Minimum Topological Characteristics, (1)
- Geometrical Function of Nine, (7)
- VE & Icosa, 26 Aug'75

Twenty (1)
RBF Definitions
"...when we stack planar groups of triangular aggregates of spheres on top of one another in such a manner that they will be structurally stable without binding agents... we nest six balls in a closest-packed triangular planar array on top of the first triangularly arranged ten-ball aggregate. And on top of these six balls we nest three more. We now have a total of 19 balls. We may now nest one more topmost ball in the one 'nest' of the three-ball triangle.
"We now have a symmetrical tetrahedral aggregate consisting of 20 balls without any nuclear ball occurring in the center of the tetrahedral pyramid of balls.
vertical stacking with(2)
"We began our symmetrical base triangle of ten balls and now we have a tetrahedron composed of 20 balls. Just as fingers alone might not have been the only reason for the choice of base ten, fingers and toes together may not have been the only reason the Mayan priests chose congruence in modulo 20, or that 20 was considered a magic number. It might have been the result of an intuitive understanding of closest packing of spheres, which is something more fundamental. For unlike our fingers which lie in a row, the packing of 20 spheres which can be grouped symmetrically together without a nucleus
Citations
- draft Synergetics chapter 'Numerology,' Pp.2-4, Oct'71

Twenty (2)
Index Entry
Twenty:
"is a fundamentally significant phenomenon."
"In a tetrahedron composed of 20 balls there is no nucleus. I think this is why 20 appears so abundantly in the different chemical element isotopes. And 20 is one of the Magic Numbers in the inventory of chemical element isotopal abundancy in Universe."
- Cite draft ..ynergetics chapter, "Numerology," pp.2-4, Oct'71

Twenty-ness
← Twenty (2) | Twentyness in Mass Ratio of Electron and Proton →
Index Entry
Twenty-ness:
"The vector equilibrium and the icosahedron are the same twenty-ness."
- For Citation and context see Universal Integrity: Vector Equilibrium and Icosahedron (1), 1 Apr'72

Twentyness in Mass Ratio of Electron and Proton
Index Entry
Twentyness in Mass Ratio of Electron and Proton:
"It is relevant in this exploratory speculating to consider that since enzymes are molecular event integrities and involve electron binding proclivities, this introduces further identification with the fact that the icosahedron's non-closest-packability tends mathematically to be identifiable exclusively with the migrating, trading independence of the electron and its volumetric relationship to the vector equilibrium, i.e., 18.51 : 20, which is akin to the fractional number relationship of the electron's mass to the proton's mass."
- Cite SYNERGETICS draft at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1055.061055.06, 2 Oct'72

Twentyness
← Twentyness in Mass Ratio of Electron and Proton | Twenty Questions (1) →
Index Entry
SYNERGETICS \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1055.001055: Twentyfoldness of Unsame System Indestructibility, 2 Oct'72

Twenty Questions (1)
← Twentyness | Twenty Questions (2) →
Index Entry
Many humans alive today are old enough to realize what has happened and can recall many things that have happened contradicted by popular thought.
"In the game of twenty questions as played in my childhood, the first question to be asked was, Is it animate or inanimate? The words animate and inanimate had been invented by man long before chemistry and biology started. Early humans apparently assumed there was obviously a fundamental difference between warm soft flesh and cold hard stone; ergo the quickest way to narrow the field of potential answers was first to ask, Is it animate or inanimate?
"As humans learned more and more about self and environment, they identified various species by names. At this late 20th century-- with Darwin's work only 100 years old-- humanity has acquired a great deal of knowledge about biological phenomena. A contemporary of Darwin, Dalton, was the leading physicist of the time. Dalton wrongly assumed that the hydrogen atom was the 'building block' of all the 60-other then-known chemical elements. Looking for the building block, or the 'key', to any subject seemed popularly logical."

Twenty Questions (2)
← Twenty Questions (1) | Twenty Questions (3) →
Index Entry
Twenty Questions:
"Darwin's theory of evolution was based on the concept of the single-cell amoeba as the building block. In their early days physics, chemistry, and biology were three different worlds.
"Suddenly, scientific instrumentation increased the macro-micro range of eye-piece-visible exploration. It was only as recently as World War II that the interrelatedness of physics, chemistry, and biology dawned. In 1940 appeared the hyphens-- bio-chemists, bio-physicists, et. al., The instrumentation produced overlapping of these previously separate worlds. Post World War I biology developed knowledge of the genes controlling the design of biological species. Further biological exploration focused on the even more fundamental virus. For example, teams consisting of physicists, chemists, geneticists, biologists-- really across-the-board teams of different specializations-- zero in on virology.
"The virology exploration brought discovery of the protein shell of the virus and, within it, the DNA and RNA tetrahedral design codifications of all biological phenomena. All this time there was thought to be a fundamental cosmic threshold lying between"

Twenty Questions (3)
← Twenty Questions (2) | Twenty Questions →
Index Entry
animate and inanimate phenomena. The individuals co-working in virology have been too busy and too specialized to philosophize on the significance of the incidentally-discovered fact that no threshold exists separating animate from inanimate. The inanimate crystalline behavior of inanimate atoms crosses right over the threshold. We know that humans, too, physically consist entirely of atoms and that atoms are completely inanimate.
Inanimate.
What is about all biological organisms has become clearer and clearer, and what is physically animate has become not only less clear but is apparently zero or physically nonexistent. There is no experimentally demonstrable physical animism. Cinema cartoons can be 'animated' to simulate superficially the presence of animism in exclusively atom-structured organic mechanisms. Apparently the original hypothesis erred in assuming that both animate and inanimate were physical. There have been quite a number of weighings of people as they died. Many cancer-doomed paupers have been willing to have their beds placed on scales. The only difference manifest between weight before and after death is that caused by air exhaled from the lungs or urine that has been passed. What-

Twenty Questions
← Twenty Questions (3) | Twenty Questions →
RBF Definitions
"ever life is, it doesn't weigh anything. I am not credulous when I hear 'pure science' research chemists talking about finding the key chemical constituents of life in Earth-intercepted stardust, or the means by which to synthesize the key enzymes of life and thereby to institute and control the design of life. This chemistry is not life; it is physical. That is, it comprises 100 percent of the physical inventory. Life is metaphysical, weightless, limitless. Each life is an eternally individual, unique pattern of integrity."
Citations
- THINKING OUT LOUD (3): PHYSICAL TEMPORALITY AND ETERNAL PRINCIPLES, World Mag., 11 Sep'73

Twenty Questions
← Twenty Questions | Twenty Questions →
Index Entry
Once you state what your realistic optimum recognition of totality consists of, then you will find how many bits or subdivision stages it will take to isolate any items within that totality. It is like the childhood game of Twenty Questions: You start by saying, 'Is it physical or metaphysical?' Next: 'Is it animate or inanimate?' (One bit.) 'Is it big or little?' (Two bits.) 'Is it hot or cold?' (Three bits.) It takes only a few bits to find out what you want. When we use bit subdivision to ferret out the components of our problems, we do exactly what the computer is designed to do.

Twenty Questions
← Twenty Questions | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (1) →
Cross Reference
Reduction ad Absurdum
Cross-References

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (1)
← Twenty Questions | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (2) →
Index Entry
The zenith constancy of the transformational projection's topological trigonometry discretely locates the common zenith points of any commonly centered concentric surfaced systems.
If camera-equipped telescopes were mounted aboard Earth-dispatched-and-controlled satellites, which satellites were 'locked' in fixed formation flight positions around our planet Earth with one such fixed satellite hovering steadily over each vertex of a one-mile-edged triangulation grid, and each telescope was trained in such a manner that the eyepiece of its eyepiece-to-optics' axis is pointed exactly toward the center of the planet Earth, and its outer optics' end is pointed exactly toward whatever star, if any, may be in exact zenith over the point on the surface of Earth above which the satellite was vertically positioned, a human on Earth at any one of those points looking vertically outwardly into the heavens with a radarscope would discover that satellite as a blip in the middle of his scope-viewing-tube's grid.
Now let us have an around-the-world simultaneous clicking of the shutters of the cameras attached to each of the telescopes of each of those around-the-Earth-fixedly-hovering photo-satellites with

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (2)
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (1) | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (1) →
Index Entry
Twenty-Foot Earth Globe and 200-Foot Celestial Sphere:
"their telescopes pointed to whatever stars may be vertically outward from the Earth at their respective omni-Earth-triangulated, one-mile-apart, grid vertexes. Let us assume the photographing telescopes to be very long-barreled to shield those not pointing at the Sun from its intense luminosity. A composite mosaic of all those pictures could now be print-mounted spherically on the inside of a translucent 200-foot globe of Earth's conventional geographic data of continents, islands, etc., together with the conventional latitude-longitude grid. Because they were photographed outside the Earth's cloud cover they would present a composite and accurate spherical picture of what the navigators and astronauts call the celestial sphere with the relative brilliance of the stars in evidence with astronomically calculable corrections being made in the printing for the Sun luminosity effects.
While this picture was orientationally unique to its one moment in eternity in respect to the Earth-to-celestial-sphere orientation, the Earth data per se and the celestial sphere data per se remain constant at their magnitude of scrutability within the lifespan of any human.
-Cite SYNERGETICS draft at Secs. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1100-triangular-geodesics#section-1110.031110.03-04, 25 Jan'73

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (1)
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (2) | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
Index Entry
Because of the accuracy with which this spherical picture was made it would also be possible to take a transparent plastic 20-foot globe of the Earth with the latitude-longitude grid and the continents and islands outlined, together with the marker points identifying the respective positions of the satellite-mounted telescope cameras at the time of the photographing, and to position the 20-foot Earth globe within the 200-foot celestial sphere globe within the miniature Earth's spherical center congruent with the spherical center of the 200-foot celestial sphere.
It is then possible to orient the miniature 20-foot diameter Earth globe so that its polar axis is pointed toward the North Star, making a small correction to correspond with the astronomical correction for the small aberration well-known to exist in this respect, which is negligible in this description of the properties of our triangular geodesics transformational projection. We may then rotate the miniature Earth 20-foot globe around its axis until a sighting from its exact center will register each of the stars of the 200-foot celestial sphere which the satellites photographed in exact verticality outward from Earth.

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere (1) | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
Index Entry
Twenty-Foot Earth Globe and 200-Foot Celestial Sphere:
"The Earth's highest mountain top is five miles above sea level and the ocean's deepest bottom is five miles below sea level. We could now modify the surface of our transparent plastic 20-foot model of the Earth to show those aberrations which would show that some parts of the Earth's surface have a different radial distance from the Earth's center; but it would be in evidence that the stars would be in zenith over the same latitude-longitude grid points as would also be all of the satellite photographic stations.
"Finding that surface aberrations include only radial distance variations and changes in the spherical surface line-of-sight projections from the center, we will now introduce a clear plastic shell model of a whale, and another of a crocodile, of such sizes that the crocodile is large enough to omnisurround or swallow the 20-foot miniature Earth globe, and the whale is large enough to swallow the crocodile yet small enough to be inside the 200-foot diameter clear plastic celestial sphere. With omnidirectional spoke-wires we will now tensionally position the whale within the 200-foot celestial sphere and we will tensionally wire-position"

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
Index Entry
the crocodile within the whale, and the 20-foot miniature Earth within the crocodile with the miniature Earth oriented as before, its volumetric center exactly in congruence with the center of volume of the celestial sphere, with all the stars at the time of the photographing in register with the same satellites which photographed those particular stars.
"Now the whale's and the crocodile's surfaces will be at a great variety of different radii distances from the concentric volumetric centers of the 200-foot and 20-foot spheres. We are going now to coat the surfaces of the transparent whale and transparent crocodile with a photosensitive emulsion after which we have a high intensity light source flash at the common volumetric centers of the 20-foot and 200-foot spheres. This process will reproduce on the plastic skin of both the whale and the crocodile-- as well as on the celestial 200-foot sphere--the triangular satellite positioning grid together with the latitude-longitude grid and all the Earth's continental and insular outlines. Then, traveling with a pencil beam strobic light on the outside of the 200-foot celestial sphere we will point vertically inward against each of the stars, thus project-"

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
RBF Definitions
Twenty-Foot Earth Globe and 200-Foot Celestial Sphere: (6)
"ing their positions radially, i.e., vertically, inwardly to
register on the skins of both the whale and the crocodile and
on the 20-foot Earth globe. Now, with the human eye at the
common concentric centers of volume of the 20-foot and 200-foot
spheres, as well as both the whale and the crocodile, we may
sight outwardly-- which is inherently radially-- in all direc-
tions, and will observe that all the grids and all the geograph-
ical and celestial star data appear as one grid, being in exact
radial register. We have all the same grids and data on all
four of the concentric surfaces: 200-foot celestial sphere,
whale, crocodile, and 20-foot Earth globe. That registering of
all data is obviously independent of radial distance from the
common center; ergo, the only variable in the system is the
radius to any given point within the concentric systems.
"As we have demonstrated with geodesic domes and spheres, what
is meant by compound curvature is 'omni-intertriangulated struc-
turing (i.e., balanced connectors) of concave-convex surface
points'. Given a unit radius sphere and the known central
angle between any two radii of known length, then the length of
the chord running between their outer ends may be calculated
by trigonometry by running a line from the sphere center per-"
Citations
- SYNERGETICS draft at Secs \href{https://www.buckyverse.org/en/synergetics/content/chapters/1100-triangular-geodesics#section-1110.09}{1110.09}-10, 25 Jan'73

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
RBF Definitions
"perpendicular to the midchord and solving for the right triangle
thus formed, whose halved-chord outer edge is the side opposite
its central angle which is half the central angle originally
given, and we know that the sine of an angle is the side opposite.
When radius is assumed to be one then the well-known
sine of 1/2 the original angle given is the length of that half
chord. With the chord length calculatable for a given central
angle it is easy to calculate the length of any line running
between the outer end of one of the radii to a position on the
other radius at a known distance outward from the spherical
center. With this knowledge we can design struts of suitable
structural material, say aluminum tubes, and we may triangularly
interconnect all the vertex points of the triangular grid of
the 200-foot sphere, then we can triangularly interstrut all
the grid points on the inside of the whale, then we can interstrut
all the grid vertexes of the crocodile, and finally intertri-
angularly strut the 20-foot Earth globe.
"Now again, viewing outwardly in all directions from the common
volumetric centers of those concentric forms, we will see nothing
changed because all the struts will be in register with all the"
Citations
- SYNERGETICS draft at Secs \href{https://www.buckyverse.org/en/synergetics/content/chapters/1100-triangular-geodesics#section-1110.10}{1110.10}-11, 25 Jan'73

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
Index Entry
lines of the four separate grids. We may now dissolve the plastic skins from all four shells: the 200-foot celestial sphere, the whale, the crocodile, and the 20-foot globe, and we will find that all four hold their shapes exactly as before and, being intertrussed (intertrussed and intertriangulated are the same words: Truss: Trace: and Triangle.) between vertexes of the grid, and the grid now being omnitriangularly interstructured, we may again sight outwardly from the volumetric center and, if photographing what we see, we will see only the same lines in exact register that we saw at the time of the original first spherical printing.
"Since the speed of light permitted astronauts to understand and adopt the light year in their observational data, we have learned the great variation of radial distances outwardly to the different stars. In the Big Dipper one star is hardly 200 light years further from Earth than the next one on the handle that is a distance of 200 quadrillion miles further away from you and me than is the other. If we ran rods radially from the volumetric center of our model outward perpendicularly through each of the stars shown on the 200-foot celestial sphere to a distance perpendicular outwardly from the 200-footer equal to their"

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
RBF Definitions
"distance away in light years from the Earth, with the 200-foot
sphere's 100-foot radius equalling that of the nearest star
other than the Sun, and assume that the cameras had photographed
only those stars visible to the naked eye, then a few of the
rods would reach outwardly ten miles, but most of them would be
much nearer in, with one of the Big Dipper's one mile out and
another a half-mile out. It would make a vastly varied porcupine
if we intertriangularly interconnected the outer terminals of the
lines of interconnection which would as yet be in exact register
with the original grid as seen from system center.
"Now let us separate the four structures by opening up an
approximate equator in the outer ones and rejoining the equatorial
points. The celestial porcupine rolled into our deepest
ocean and then resting on the bottom, its top would reach
outwardly above the ocean surface to the height of Mt. Everest
with its densest, most high-frequency trussed spherical core
being only 200 feet in diameter and occurring at ocean surface.
The triangularly trussed 175-foot whale would hold its shape and
size as would also the 60-foot crocodile and the little 20-foot
miniature Earth. Obviously they could not appear more differently."
Citations
- SYNERGETICS Secs. \href{https://www.buckyverse.org/en/synergetics/content/chapters/1100-triangular-geodesics#section-1110.12}{1110.12}-13, 15 Jan'73

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
Index Entry
'Twenty-Foot Earth Globe and 200-Foot Celestial Sphere:
"Our triangular geodesics transformation projection would show all of these four dissimilar systems in the flat plane in exactly the same manner and in exact register with that of the Earth alone as shown later in the icosahedral flat-out of the world map, but with a number (or numbers of different styles) shown at each grid vertex, which number indicates the radius distance of that vertex outwardly from the center point of the system 'Earth.' Four different colors: blue for the celestial, black for the whale, green for the crocodile, and brown for the 20-foot Earth globe, would identify the relative radius distances outwardly from the congruent systems' center which occurs at each vertex of these four utterly differently shaped and sized systems-- all on the same map. This would provide all of the data necessary to reconstruct each of the four systems in exactly the same relative sizes. Every point in the four systems remains in exact perpendicular (zenith) whether in the spherical or planar flat-out phase or any interim transitional phase. This makes possible the design of an airplane or an ocean liner all on one map. And the flat-out map may have its triangular mosaic pieces rearranged in many ways, for instance, to center the oceans or to center the lands. And the building of that airplane or ocean liner, as with the geodesic dome, will generate"

Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty: 20 (1) →
Index Entry
compound curvature, omnifinite, tensegrity trussing far stronger and lighter than the presently designed and built XYZ-parallel coordinate grids and their parallel plane sectional designing.
With omnidirectional complex computerized world satellite sensing, comprehensive resources inventorying and inter-routing, the triangular geodesics transformational projection can alone bring visual comprehending and schematic network elucidation.
Just as triangular geodesics transformational projection can alone reduce the astronomical to the cosmic middle ground of eye-comprehendible coordination with the mind explorations and formulations in metaphysics in general and mathematics in particular, especially in relation to computer programing, so too, may the triangular geodesics transformational projection enlarge the complex invisible microcosmic patterns to eye- and sense-comprehendibility.

Twenty: 20 (1)
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty: 20 (2) →
Cross Reference
Cross-References
- Amino Acids
- DNA-RNA: Twenty-sphere Models
- Icosahedron
- Magic Numbers: Isotopal Magic Numbers
- Precession of Two Sets of 10 Closest-packed Spheres

Twenty: 20 (2)
← Twenty: 20 (1) | Twilight Zone →
Cross Reference
Cross-References
- Equilateral, 11 Oct'71
- Nothingness, 16 Nov'72
- Omnilibrium, 19 Feb'72
- Powering: Fourth Dimension, 18 Nov'72
- Universal Integrity: VE & Icosa, (1)
- Tensegrity: Twelve Pentagons, Aug'72
- Somethingness, 16 Nov'72
- Vector Equilibrium, 2 Oct'72 ; 19 Nov'74
- Fourth Dimensional Modelability, 24 Feb'75
- Tetrahelix, (1)
- Hex-pent Sphere, 15 Sep'76
- Hex-pent Sphere: Transformation into Geodesic Spiral Tube, (1)
- Rhombic Dodecahedron, 12 May'77
- Vector Equilibrium: Potential & Primitive Tetravolumes, 12 May'77

Twilight Zone
← Twenty: 20 (2) | Twilight Zone →
Index Entry
Twilight Zone:
"... Humans thus find themselves between an absolute, omni-directional, equilibrious, dimensionless, metaphysical core contained within a spheric zone twilight of macro-almost-true and containing a spheric zone twilight of macro-almost-true."
(Synergetics: \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/500-conceptuality#section-504.14504.14)
- Citation & context at Truth, 22 Jun'75

Twilight Zone
← Twilight Zone | Twilight Zone →
RBF Definitions
"...Man being pretty much in the middle, as is the truth itself in a kind of twilight zone on either side of the truth-- both macrocosm and microcosm, kind of closing in on it. No chemist is ever going to improve that situation."
- Citation and context at Middle, Feb'73

Twilight Zone
← Twilight Zone | Twilight Zone →
Index Entry
Twilight Zone:
"And I speak of intuition as the phenomenon that occurs in the twilight zone between the clearly conscious and the clearly subconscious. There is a twilight where there are drives and capabilities, where the genius that is in us makes us look in a direction intuitively."
- Citation and context at Intuition of the Child (1), Feb'73

Twilight Zone
← Twilight Zone | Twilight Zone →
Index Entry
...There is a twilight zone that is neither clearly subconscious-- no consciousness at all-- and clearly something you and I tend to call consciousness.

Twilight Zone
← Twilight Zone | Twilight Zone (1) →
Index Entry
There are two inherent twilight zones of tantalizingly almost-relevant recollections spontaneously fed back in contiguous frequency bands-- the macro-twilight and the micro-twilight.
- Cite INTRO. TO OMNIDIRECTIONAL HALO, p.125, 1959

Twilight Zone (1)
← Twilight Zone | Twilight Zone (2) →
Cross Reference
Considerable Set
Considered Set
Intuition & Aesthetics
Intuition: Second Intuition
Irrelevancies: Dismissal Or
Relevant: Almost Relevant
Relevant: Lucidly Relevant Set
Threshold
Cross-References

Twilight Zone (2)
← Twilight Zone (1) | Twins (1) →
Cross Reference
Cross-References
- Cognition, 1960
- Conscious & Subconscious, 19 Oct'70*
- Halo Concept, Nov'71
- Intuition of the Child, (1)
- Middle, Feb'73*
- Reality as Structural Interaction of Principles, 1963
- Truth, Feb'73; 22 Jun'75*
- Zoned System: Zone Limits, Feb'73
- Intuition Sequence, (3)
- Point, 9 Jun'75

Twins (1)
← Twilight Zone (2) | Twins (2) →
Cross Reference
Cross-References

Twins (2)
Cross Reference
Cross-References
- Aesthetics of Uniformity, May'28

Twinkle Angle
Index Entry
There is a unique 5° 16'-ness relationship of the A Quanta Module to the symmetry of the tetrahedron-octahedron allspace-filling complementation and other aspects of the vector equilibrium that is seemingly out of gear with the disequilibrium icosahedron. it has a plus-or-minus incrementation quality in relation to the angular laws common to the vector equilibrium.
- Cite RBF rewrite of SYNERGETICS galley at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/900-modelability#section-915.01915.01, 19 Dec'73

Twinkle Angle
← Twinkle Angle | Twinkle Angle →
Index Entry
Twinkle Angle: 5°16'.
"There is a 5°16'-ness in relation to the A Module which is part of the symmetry of the tetrahedron-octahedron and which is seemingly out of gear with icosahedron. It is the same 5 degrees and 16 minutes which has a plus and minus quality in relation to the icosahedron but we don't usually think of much connection between the angular laws of the vector equilibrium and the icosahedron. But the 5°16' is in there. Common to both is the 5°16' where it goes minus this or plus this.
"There is a very very small fraction of difference between 6° and the 5°16'. We are talking about the A Module relations as the foldable triangle consisting of four smaller triangles which fold into the A Module. And the" basic triangle, or "120th of a sphere which is the six right mm triangles subdividing each of the 20 equilateral triangles of the icosahedron. It occurs spherically, but it doesn't make any difference whether it is spherical, the angles are the same: the thing would fold over if it weren't for the 6°."

Twinkle Angle
← Twinkle Angle | Twinkle Angle (1) →
Index Entry
The faces of an A particle unfold to form a triangle with 84° 44' as its largest angle. This is 5° 16' less than a right angle. 5° 16' is Fuller's 'twinkle angle.'

Twinkle Angle (1)
← Twinkle Angle | Twinkle Angle (2) →
Cross Reference
Twinkle Angle:
Cross-References
- Equimagintude Phases

Twinkle Angle (2)
← Twinkle Angle (1) | Twin-spin: Earth & Moon Flying Twin-spin Formation (1) →
Cross Reference
Cross-References
- Cosmic Neutral, 16 Dec'73
- Dihedral Angles of Tetra &a, Oct

Twin-spin: Earth & Moon Flying Twin-spin Formation (1)
← Twinkle Angle (2) | Twin-spin Earth & Moon Flying Twin-spin Formation (2) →
Cross Reference
Twin-spin: Earth & Moon Flying Twin-spin Formation:
Cross-References

Twin-spin Earth & Moon Flying Twin-spin Formation (2)
← Twin-spin: Earth & Moon Flying Twin-spin Formation (1) | Twisting →
Cross Reference
Cross-References
- Tension, 28 Jan'69

Twisting
← Twin-spin Earth & Moon Flying Twin-spin Formation (2) | Twist-pass →
Index Entry
Twisting:
"We always have the twisting-- the vectorial near-miss-- at the corners of the tetrahedron because not more than one line can go through the same point at the same time."
- Citation and context at Tetrahedron: The Leak in the Tetrahedron's Corners, 20 Dec'73

Twist-pass
← Twisting | Twist-and-torque Contractions (1) →
Cross Reference
Twist-pass:
Cross-References
- Domains of Convergences, 7 Nov'73

Twist-and-torque Contractions (1)
← Twist-pass | Twist-and-torque Contractions (2) →
Cross Reference
Cross-References

Twist-and-torque Contractions (2)
← Twist-and-torque Contractions (1) | Twist Vertex of Exit →
Cross Reference
Cross-References
- Omniequilibrium, (2)

Twist Vertex of Exit
← Twist-and-torque Contractions (2) | Twist (1) →
Cross Reference
Cross-References

Twist (1)
← Twist Vertex of Exit | Twist (2) →
Cross Reference
Motion: Six Positive & Negative Motions
Tepee: Half-spin Tepee Twist
Torque
Turbining
Cross-References

Twist (2)
Cross Reference
Twist: Twisting:
Cross-References
- Interprecess, 29 May'72
- Tetrahedron: Leak in the Corners, 20 Dec'73*

Two
RBF Definitions
"Interval and differentiation are introduced with two."
- Citation and context at Prime, 17 Feb'73

Two
Index Entry
Two:
"We should not use this illustration ( # 45) in SYNERGETICS. It doesn't say anything. What is the cube doing in there? My arrow at the bottom caption is meant to illustrate Peter Pearce's characteristic tendency to confuse Euler and Synergetics with a failure to identify and credit Fuller. The extraction of two polar vertexes is presented by Pearce as an established generalized consequence of Euler; not as a unique aspect of Synergetic Geometry. This function of the two vertexes was not known to Euler; it was a discovery of R.B.F."

Two
Index Entry
The difference between infinity and finity is always exactly two, or 720 degrees, or two times 360 degrees, or two times unity.

Two
Index Entry
It takes two to make a baby
But it takes God to make two.
God is twoing.
-
Cite HOW LITTLE I KNOW, Oct.-66, p. 56
-
Citation & context at God, Oct'66

Two
Index Entry
Two:
"Substituting the word tetrahedron for the number two completes my long attempt to convert all the residual heretofore unidentifiable integers of topology into geometrical conceptability."
- Citation at Unity as Two, 1960

Two (1)
Index Entry
Two:
"My main conclusion when I first explored the field of topology (after energetic geometry experience) was that there is far more significance in the 2 of the F, V, E, 2 relationships than meets the eye. For instance, it could be written (V - 2) + F = E, and what is really important is that this 2 is (thus an?) extra 2 or pair for axis (isolation) that appears in the plus two balls in every layer of the vector equilibrium spherical agglomeration. Verexes + Faces + Poles = Edges, is my form of topological law, which also makes a value of 2 implicit for the central ball which is 0² radius x 10 + 2 = 2 (= 0 + 2).
"This assumption turned out to be well supported when a hole was made in our planar bound solid, for it eliminated the axis, cored it out as with an apple, and left the neutral axis in space (but implicit) and the 2 seemingly dropped out (of?) the formula as would the neutral axis drop out of a victrola disc by putting in a central hole."

Two (2)
← Two (1) | Two Balls Coming Together →
Index Entry
Two:
"I then went on to calculate that which really happens when a ring or doughnut construction is considered, is that all such rings are lines-- lines-- which are all inherently curved and must eventually meet or rejoin their ends.
Evolution of Point to Ring
"Note: Point shuttles 2 ways, passing midpoint twice for each terminal visit. .*. its occupational frequency swells the center of the shuttle trajectory space involvement."
- Cite Ltr. from RBF to Duncan Stuart, 10 Jan'50

Two Balls Coming Together
Cross Reference
Lines Between Two Sphere Centers
Cross-References

Bonus Two
← Two Balls Coming Together | Two-dimensional Polarity →
Cross Reference
Cross-References
- Somethingness, 16 Nov'72

Two-dimensional Polarity
← Bonus Two | Two-dimensionality (1) →
Index Entry
Two-dimensional Polarity:
"Three individual unresolved somethings (points) identify a plane: two dimensionality, which... has polarity consisting of its obverse-reverse congruence. Polarity is inherent in the plurality of the con of congruence."
- Cite SYNERGETICS, 2nd. Ed. at Sec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/1000-omnitopology#section-1013.131013.13, 11 Sep'75

Two-dimensionality (1)
← Two-dimensional Polarity | Two-dimensionality (2) →
Cross Reference
Cross-References

Two-dimensionality (2)
← Two-dimensionality (1) | Two-and-a-half Split →
Cross Reference
Variables: General Theory of Variables, 1960; Nov'71
Cross-References
- Geometry of Reality, May'49
- Left & Right, 4 May'57
- Omnidirectional, 17 Feb'72
- Six Motion Freedoms & Degrees of Freedom, (1)

Two-and-a-half Split
← Two-dimensionality (2) | Two Kinds of Twoness →
Cross Reference
Cross-References
- Number: 2½

Two Kinds of Twoness
← Two-and-a-half Split | Two Kinds of Twoness →
Index Entry
Two Kinds of Twoness:
"There are two kinds of twoness:
(a) the numerical or morphationally unbalanced twoness; and
(b) the balanced twoness.
The vector equilibrium is the central symmetry through which both balanced and unbalanced asymmetries pulsatingly and complexedly intercompensate and synchronize. The vector equilibrium's frequency modulatability accommodates the numerically differentiated twonesses.
"There are four kinds of positive and negative: (1) the eternal equilibrium-disturbing plurality of differentially unique, only-positively-and-negatively-balanced aberratings; (2) the north and south poles; (3) the concave and convex; and (4) the inside (microcosm) and outside (macrocosm) always cosmically complementing the local system's inside-concave and outside-convex limits."
"There is a fourfold twoness: one of the exterior, cosmic finite ("nothingness") tetrahedron, i.e., the macrocosm outwardly"

Two Kinds of Twoness
← Two Kinds of Twoness | Two Kinds of Twoness →
Index Entry
Two Kinds of Twoness:
"complementing all ("something") systems and the interior micro-
cosmic tetrahedron of nothingness complementing all conceptually
thinkable and cosmically isolatable "something" systems.
"A rock dropped into water precessionally produces waves moving
both outwardly from the circle's center; i.e., circumferentially
of the Earth sphere, and reprecessionally outwardly-and-inwardly
from the center of the Earth, i.e., radially in respect to the
Earth sphere; which altogether interregeneratively demonstrate
(1) the twoness of local precessional system effects at 90
degrees and (2) the Universe-cohering gravitational effects at
180 degrees.
"These are the two kinds of interacting forces constituting the
regenerative structural integrity of both subsystem local twonesses
and nonunitarily conceptual Scenario Universe.
"The four cosmically complementary twonesses and the four local
system twonessk altogether eternally regenerate the scientific
generalization known as complementarity. Complementarity is
sumtotally eightfoldly operative: four definitive local system

Two Kinds of Twoness
← Two Kinds of Twoness | Two Kinds of Twoness (1) →
Index Entry
Two Kinds of Twoness:
"complementation and four cosmically synergetic finitive accountabilities.
"Topologically the additive twoness identifies the opposite poles of spinnability of all systems; the multiplicative twoness identifies the concave insideness and convex-outsiderness of all systems: these four are the four unique twonesses of the eternally regenerative, nonunitarily conceptual Scenario Universe whose conceptual think-aboutedness is differentially confined to local "something" systems whose insideness-and-outsiderness-differentiating foci consist at minimum of four event "stars."

Two Kinds of Twoness (1)
← Two Kinds of Twoness | Two Kinds of Twoness (2) →
Cross Reference
Twoness: Additive & Multiplicative
Cross-References

Two Kinds of Twoness (2)
← Two Kinds of Twoness (1) | Twoness →
Cross Reference
Cross-References
- Syntropy & Entropy, (3)
- Local Definability, Nov'71

Twoness
← Two Kinds of Twoness (2) | Twoness →
Index Entry
Twoness:
"Twoness constitutes a wavilinear relatedness."
- Citation & context at System, 27 May'72

Twoness
Index Entry
Twoness:
"Synergetics is the central symmetry through which the asymmetry pulsates. There are several kinds of positive and negative. The eternal temple of positive and negative, the North and South Poles; concave and convex; inside and outside. There is a fourfold twoness; one the exterior cosmic tetrahedron and the interior cosmic tetrahedron; the other is the circumference around the pole. The additive twoness is the poles; the multiplicative twoness is the concave-convex; these are the eternity."
- Citation and context at Eternity (2), 23 May'72

Twoness
Index Entry
Twoness:
"The word 'line' was nondefinable: infinite. It is the axis of intertangency of unity as plural and minimum two. Awareness begins with two. This is where epistemology comes in. The 'line' becomes the axis of spin. Even two balls can exhibit both axial and circumferential degrees of freedom."
-
Citation at Line, 19 Jun'71
-
Cite RBFto EJA, Beverly Hotel, New York, 19 June 1971.

Twoness
Index Entry
It is a surprising thing that all closest packing begins with two balls rather than omnidirectionally. Two balls coming together is where thought begins. . . it is a wedding thing. . . and it is very beautiful the way the two balls reoccur at each wave outwardly.
-
Cite RBF to EJA, Beverly Hotel, New York, 19 June 1971.
-
Citation at Balls Coming Together, 19 Jun'71

Twoness
Index Entry
Twoness:
"... Twoness is the beginning and essence of consciousness, with which human awareness begins: consciousness of the other, the other experience, the other being, the child's mother. ... Life and the universe that goes with it begins with two spheres: you and me ... and you are always prior to me."
-
Citation and context at Other, 19 Jun'71
-
Cite-RBF marginalia on Synergetics Draft, See. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-223.21223.21 - 19 Jun '71

Twoness
Index Entry
Twoness:
"Maybe twoness is the axis of reference."
-
Cite RBF to EJA Beverly Hotel, New York 15 March 1971
-
Citation at Axis of Reference, 15 Mar'71

Twoness
Index Entry
Twoness:
"A minimum of two cycles is essential to frequency fractionation."
-
Cite SCIENCE "Correlations," Dec. \hrefhttps://www.buckyverse.org/en/synergetics/content/chapters/200-synergetics#section-240.52240.52. 1971
-
Citation & context at Fractionation, 1971

Twoness
Cross Reference
Twoness:
"The extension of edges through any one vertex of a tetrahedron form positive and negative tetrahedra.
"A vertex passed through the opposite face will form another version of positive-negative tetrahedra.
"These are examples of the essential twoness of a system."
(Adapted.)
- Cite SYNERGETICS ILLUSTRATIONS, caption #19. 1967
Cross-References
- Illustration. 19.

Twoness
Index Entry
Twoness:
"The discovery that a structural system may be described as the sum of its surface angles /in increments of 720°/ . . . bears out . . . that the tetrahedron is the basic quantum unit. It also demonstrates the fundamental twoness of the energy quantum's proton-neutron. It also provides the experiment basis of the Theory of Functions in which a function can only and always coexist with another function as demonstrated experimentally in all systems as the inside-out, convex-concave, tension-compression couples."
-
Cite CARBONDALE DRAFT IV, 48
-
Cite Nasa Speech, pp. 63-64, Jun'66
-
Citation at Functions: Principle Of, Jun'66

Twoness
Index Entry
Twoness:
"The octahedron has a fundamental twoness: its volume of four being made up of the prime number two."
-
Cite Carbondale Draft
-
Return to Modelability, p. V.7
-
Citation at Octahedron, Jun'66
-
Cite NASA Speech, p. 72, Jun'66

Twoness
Index Entry
Twoness:
"The theory of functions holds for universe itself.
Universe consists at minimum of both the metaphysical and the physical. The fundamental twoness of physical universe was embraced in Einstein's one word, 'relativity,' and in a more specific and experimental way in the physicists' concept of complementarity."
- Cite Carbondale Draft
-Return to Modelability, P. V.3
- Cite NASA Speech, p. 68, Jun'66
- citation at Relativity, Jun'66

Twoness
Cross Reference
Twoness:
"Topologically speaking, there are in all systems the additive twoness of the poles and a multiplicative twoness of the coexistent concavemess and convexity of the system's insideness and outsideness respectively."
Cross-References
- Illustration # 17

Twoness
Index Entry
Twoness:
"Twoness and Oneness can't make a system. They don't have insideness and outsideness at all."
- Cite Oregon Lecture #7, p. 248. 11 Jul'62

Twoness
Index Entry
Twoness:
"Because the permitted conceptuality involves a unit expenditure from Universe of a de-finite twoness, unit conceptuality must have a finite twoness penditure value, ergo prime conceptuality unity acquires an inherent value of two. Unity is inherently plural. Unity is always divisible as twoness, or fourness, or sixness, of inherent minimum relationships."
-
Cite OMNIDIRECTIONAL HALO, p. 143, 1960
-
Citation at Unity, 1960

Twoness
Index Entry
Twoness:
"Unity is complex and at minimum two."
- Cite Synergetics Corollaries, COLIER'S. Oct'59

Twoness
← Twoness | Twoness: Additive Twoness & Multiplicative Twoness →
Index Entry
Twoness:
"... The system has inherent yet empty twoness."
- Citation and content at Magnetic Field, May'49

Twoness: Additive Twoness & Multiplicative Twoness
Index Entry
Twoness: Additive Twoness & Multiplicative Twoness:
"Synergetics is the central symmetry through which the asymmetry pulsates. There are several kinds of positive and negative. The eternal temple of positive and negative, the North and South Poles; concave and convex; inside and outside. There is a fourfold twoness: one the exterior cosmic tetrahedron and the interior cosmic tetrahedron; the other is the circumference around the pole. The additive twoness is the poles; the multiplicative twoness is the concave-convex; these are the eternity.
"A splash of water demonstrates waves and we get precessional at 90° and gravitational at 180°.
"There! 'Two kinds of twoness.' Wouldn't that make a pretty good song?"

Twoness
← Twoness: Additive Twoness & Multiplicative Twoness | Twoness: Additive Twoness & Multiplicative Twoness →
Index Entry
Twoness: Additive Twoness & Multiplicative Twoness:
"We find all the hierarchy of all the crystallizations to be rationally developed in respect to the prime system. This hierarchy, always can be topologically analyzed in the terms of two polar vertexes which we call the additive twoness and a concave-convex multiplicative twoness, after the removal of both of which twonesses we find a constant relative abundance of one vertex plus two faces and three edges times one of the first four prime numbers, times frequency of modular subdivision to the second power. . . "

Twoness: Additive Twoness & Multiplicative Twoness
Index Entry
Twoness: Additive Twoness & Multiplicative Twoness:
"Topologically speaking, there are in all systems the additive twoness of the poles and a multiplicative twoness of the coexistent concaveness and convexity of the system's insideness and outsideness respectively."
- Citation at System, Jun'66

Twoness
← Twoness: Additive Twoness & Multiplicative Twoness | Twoness (1) →
Index Entry
Twoness: Additive Twoness & Multiplicative Twoness:
"...The difference between finiteness and infinity is two. The inherent disparity of convexity and concavity introduces an inherent multiplicative twoness. As the chart shows... the additive twoness is that of the two polar points... When the additive twoness and the multiplicative twoness are extracted from any symmetrical and omnitriangulated system, the numbers of vertexes will always be a rational product of one or more of the first four primes: 1, 2, 3, and 5. The number of faces will always be twice the number of vertexes minus two; the number of edges will always be three times the number of vertexes minus two."

Twoness (1)
Cross Reference
Cross-References
- Heavenly Twins
- Inward & Outward Twoness
- Two Kinds of Twoness
- Interrelationship Twoness: Third Kind of Twoness
- Spin Twoness & Duality Twoness

Twoness (2)
← Twoness (1) | Twoness of Dynamic Reciprocities (2) →
Cross Reference
Cross-References
- Axis of Spin, (5)
- Cosmic Discontinuity & Local Continuity, 15 Jan'74
- Eternity, (2)
- Frequency, Jun'66*
- Radial-circumferential, Aug'71
- Synergetics, 29 Nov'72
- Syntropy & Entropy, (3)
- System, Jun'66*
- Twoness, Jun'66
- Vertexial Topology, Aug'71

Twoness of Dynamic Reciprocities (2)
← Twoness (2) | Two Multiply the Universe by Two →
Cross Reference
Cross-References
- Reciprocity, (2)

Two Multiply the Universe by Two
← Twoness of Dynamic Reciprocities (2) | Two: Universes Divisible by Two →
Cross Reference
Cross-References
- Mirror-image, 22 Jul'71

Two: Universes Divisible by Two
← Two Multiply the Universe by Two | Two: Twoness (1) →
Cross Reference
Cross-References
- Unity as Two, 1 Feb'75

Two: Twoness (1)
← Two: Universes Divisible by Two | Two: Twoness (1B) →
Cross Reference
Dual: Duality
Environmental Twoness
Cross-References
- Additive Twoness
- Binary
- Connectivity
- Coring
- Euler's Twoness
- Implicit Two
- Inward & Outward Twoness
- Magic Numbers
- Minimum Twoness
- Minus Two
- Multiplicative Twoness
- Plus Two
- Second
- Triangle as A Priori Two
- Unity As Two
- Unity Is Plural
- Spin Twoness
- Duality Twoness
- Interrelationship Twoness

Two: Twoness (1B)
← Two: Twoness (1) | Two: Twoness (2A) →
Cross Reference
Interconnection of Any Two Lines
Interconnection of Any Two Points
Cross-References

Two: Twoness (2A)
← Two: Twoness (1B) | Two: Twoness (2B) →
Cross Reference
Cross-References
- Axis of Reference, 15 Mar'71*
- Balls Coming Together, 19 Jun'71*
- Circuit, 6 Nov'72
- Energetic Functions, 8 Aug'77
- Eternity, (2)
- Finite Furniture, Feb'50
- Fractionation, 1971
- Functions: Principle Of, Jun'66*
- God, Oct'66*
- Integral, 11 Mar'69
- Line, 19 Jun'71*
- Magnetic Field, May'49*
- Number: Even Number, 26 Sep'73
- ahedron, Oct*
- Other, 19 Jun'71*
- Prime, 17 Feb'73*
- Radial-circumferential, Apr'72
- Reciprocity, (2)
- Theta, 11 Mar'69

Two: Twoness (2B)
← Two: Twoness (2A) | Two: Twoness (3) →
Cross Reference
Cross-References
- Unity, Feb'50
- Zero Frequency, 29 May'72
- Unity as Two, 1960
- Universe, 10 Dec'64
- Universe: Toward Oneness, 10 Dec'64
- Scheherazade Numbers:lining Powers Of, Dec
- General Systems Theory, (1)
- Inside-outing, 17 Jun'75
- System, 27 May'72*

Two: Twoness (3)
← Two: Twoness (2B) | Two-way Crisscross →
Cross Reference
Two: Bonus Two
Two: Universe Divisible by Two
Cross-References
- Two Balls Coming Together
- Two-dimensionality
- Two-and-a-half Split
- Two: Multiply the Universe by Two
- Twoness: Additive Twoness & Multiplicative Twoness
- Twoness of Dynamic Reciprocities

Two-way Crisscross
← Two: Twoness (3) | Two-way Feedback →
Cross Reference
Cross-References

Two-way Feedback
← Two-way Crisscross | Two-way →
Cross Reference
Cross-References
- Dia-logue, 14 Feb'72

Two-way
← Two-way Feedback | Two-Way Rectilinear Grid →
Cross Reference
entralization & Centralization, Dec
Cross-References
- Curvature: Simple, (2)

Two-Way Rectilinear Grid
← Two-way | Two-way Grid: Two-way Rectilinear Grid →
Index Entry
To the Greeks a two-way rectilinearly intersecting grid of parallel lines seemed simpler than would a three-way grid of parallel lines. And the two-way grid was highly compatible with their practical coordinate needs for dealing with an assumedly flat plane Universe. Thus the Greeks came to employ 90-degreerness and unique perpendicularity to the system as a basic additional dimensional requirement for the exclusive, and consequently unchallenged, three-dimensional geometrical data coordination.
Their arithmetical operations were coordinated with geometry on the assumption that first-power numbers represented linear module tallies, that second-power N² = square increments, and that third-power N³ = cubical increments of space. First dimension was length expressed with one line. Two dimensions introduced width expressed with a cross of two lines in a plane. Three dimensions introduced height expressed by a third line crossing perpendicularly to the first two at their previous crossing, making a three-way, three-dimensional cross, which they referred to as the XYZ coordinate system.

Two-way Grid: Two-way Rectilinear Grid
← Two-Way Rectilinear Grid | Tycho Brahe →
Cross Reference
Cross-References

Tycho Brahe
← Two-way Grid: Two-way Rectilinear Grid | Type →
Index Entry
1210 (p.738)

Type
← Tycho Brahe | Typewriter (1) →
Cross Reference
To Save Time, Tape & Type:
Cross-References
- Creativity, May'65

Typewriter (1)
Cross Reference
Cross-References

Typewriter (2)
Cross Reference
Office Building, 28 Jun'72
Cross-References
- Buildings: Multiple Occupancy, 30 Apr'74
- City, (3)
- City as Center of Abstract Intercourse, 14 Oct'69 (1)
- Nature Has So Many Options, 19 Oct'70
- New York City
- Invented Jobs, 20 Sep'76

Typhoon
Cross Reference
Cross-References
- Energy Magnitudes, Jun'66
