A Fuller Explanation

Index of Synergetics-1 and -2 sections cited

Index of Synergetics-1 and -2 sections cited

2('b' designates Synergetics-2)

3 606.01 64

4 A-module 2, 178, 203, 213, 221, 227, 228, 302

5 A-module

6 defining new framework 205, 216

7 energy characteristics 205, 211

8 net 207, 208

9 volume 215

10 Alloys 5, 36, 261, 284

11 Alloys

12 chrome-nickel-steel 37

13 Angle types, definition of

14 axial, central, dihedral, surface 87

15 Angular topology 71, 302

16 Angular topology

17 720° excess 84

18 principle of 82

19 takeout 82, 280, 293

20 Architecture 20, 88, 149, 253, 258, 259

21 housing 277

22 Avogadro, Amadeo 134, 135, 152

23 B-module 2, 178, 204, 302

24 B-module

25 energy characteristics 205, 215

26 Bamboo 256

27 Bicycle wheel 102, 103, 264, 283

28 Black Mountain College 266

29 Bohr, Niels

30 complementarity principle (1928) 191

31 Boltzmann, Ludwig 92

32 Bookshelf 2

33 Bowties 2

34 Brain-Mind distinction 14, 275, 284

35 Brooklyn Bridge (1883) 261

36 Buckminster Fuller Institute (BFI) xxii, 270, 281, 309

37 C60 carbon molecule xx

38 Carbon atoms

39 carbon fiber 261

40 diamond vs graphite 31, 150

41 general bonding of 185

42 Cell

43 as topological element 48, 135, 144, 148, 150, 160, 164, 182, 192, 196, 198, 199

44 Chinese physicists, Tsung-Dao Lee and Ning Yang 191

45 Chord 19

46 chord factors 85

47 chordal and radial equivalence in VE 180

48 chordal forces 96

49 chordal rates of convergence and divergence 180

50 great-circle arcs 220

51 great-circle chords 256, 257, 271

52 Closepacked spheres, sphere packing 2, 10, 20, 108, 111, 135, 140, 141, 147, 164, 187, 189, 194, 202, 214

53 Closepacked spheres, sphere packing

54 cubic vs hexagonal 112, 113, 114

55 formula for total numbers of spheres 123, 125, 126

56 icosahedron and sphere packing 2, 125, 127, 170

57 mathematical challenge 110, 116

58 nests 111, 119, 128, 130

59 planes of symmetry 114

60 tetrahedral clusters 116, 118, 128

61 vector equilibrium and sphere packing 109, 122

62 Complementarity 140, 168, 190, 191, 302

63 Complementarity

64 complementary quanta

65 A- and B-modules 205, 208

66 concave-convex, tension-compression, and other pairs 32, 143, 191, 259

67 fundamental complementarity in physics 190, 205

68 inherent complementarity of Universe 141, 168, 189, 190

69 of octahedron and tetrahedron 140, 149, 191

70 Compression 2

71 Consciousness

72 defined by Fuller 12, 13

73 Constant relative abundance 2

74 2 faces, 3 edges per vertex (less poles) in triangulated polyhedra 49

75 faces=2 times number of vertices minus 2 in triangulated systems 48

76 of 'dimensions' (topological elements) 81

77 Cookies 93, 138

78 Coordinate system 71, 104, 218, 254

79 Coordinate system

80 Cartesian 77, 78, 79, 95, 139, 145, 149, 164, 168, 222, 225

81 origin 36, 71, 149

82 origins, historical 15

83 spherical 78

84 Copernicus 77

85 Cosmic hierarchy 10, 152, 167, 175, 176, 177, 229, 293

86 Cosmic Railroad Tracks 2

87 Coupler 2, 213, 214, 215, 302

88 Cube 2, 43, 44, 45, 47, 50, 224

89 Cube

90 employment as basic unit of mathematics 8, 9, 15, 22, 23, 77, 80, 168, 190, 202

91 ghost 9, 75, 153

92 inherent tetrahedron in 50, 64, 65, 145, 146, 154, 190, 197

93 instability of 64, 65, 115, 133, 143, 145, 149, 154, 155, 190

94 tetrahedral volume of 162

95 used as unit of volume 153, 154, 162, 168

96 weightless 75

97 Cuboctahedron 2, 37, 53, 54, 55, 56, 97, 99

98 Cuboctahedron

99 duality of 56

100 twist 97

101 Degrees of freedom 2, 101, 123, 241, 283, 302

102 Degrees of freedom

103 conventional treatment 103

104 freedom of motion in sphere packing 118

105 in space 102, 105

106 planar analogy 101

107 tetrahedron and 103

108 Democritus 63

109 Descartes, René 82

110 Design

111 defined 274

112 Design science 2, 14, xv, 127, 150, 151, 274, 281, 283

113 comprehensive thinking 275

114 design-science revolution 284

115 Design Science Collection xv, xvi

116 Dictionary as inventory of experiences 21

117 Dimension xvi, 44, 71, 76, 302

118 Dimension

119 as direction 81

120 definition of 76

121 four-dimensional 82, 100, 180, 181, 183

122 multi-dimensional 76, 136, 138

123 other applications of 81, 82

124 three-dimensional 81, 138

125 Dodecahedron 2

126 Dodecahedron, pentagonal 44, 45, 47, 49, 53, 180, 189, 192, 227, 230

127 Dodecahedron, pentagonal

128 symmetry of 54, 180, 229

129 Dodecahedron, rhombic 2

130 Domain 227

131 Domain

132 and closepacked spheres 147, 214

133 and duality 147, 194

134 defined 147

135 Duality 2, 53, 192, 224

136 dual operations 56, 148

137 dual polyhedra 49, 54, 180, 225

138 IVM and 144, 146, 148, 193

139 Dymaxion 37, 303

140 Dymaxion

141 Map 70, 279, 281

142 Eddington, Arthur 8, 36, 158

143 Edmondson, Amy C. 6, xvi, 267

144 Einstein 12, 72

145 Einstein

146 E= mc ² 14

147 Empire State Building 9

148 Energy-event

149 descriptive term to replace 'solid' 8, 9, 30, 207, 303

150 discrete energy events 2, 19, 20, 205, 235, 236, 242, 271

151 'energy-event Universe' 16, 55, 72, 235, 240, 242

152 Engineering 150, 183, 252, 269, 270

153 Entropy xiii, 92

154 Environment control 278

155 Equilibrium 2

156 Euler, Leonhard 46

157 Euler's Law 2, 46, 49, 74, 84, 124, 244, 245

158 Everything I Know video 9, 12, 13, 33, 34, 36, 74, 91, 150, 253, 307

159 Extinction 275

160 Finite accounting system 2, 20, 133, 178, 221, 303

161 Flat-Earth thinking 15, 21, 22, 77, 153, 169, 279

162 Food system 276, 277, 278, 311

163 Four planes of symmetry 100, 114, 138, 141, 149, 180

164 Frequency 120, 241, 303

165 Frequency

166 and size 72

167 and time 73

168 angle and 73, 78, 90, 98

169 defined 120

170 formula to relate frequency and number of spheres 134, 253

171 higher-frequency polyhedra 143, 157, 164, 196, 198, 249, 252, 254, 271

172 sphere-packing and 120, 123

173 vs continuum 73, 250

174 Fuller Institute 2

175 Fuller, R. Buckminster ('Bucky')

176 Anne Hewlett Fuller 1, xvi

177 Harvard University 10

178 Milton MA 2, xvi

179 United States Navy experience 18, 90, 275

180 'careers' as inventor, architect, engineer, philosopher 2

181 General Dynamics, titanium shell experiment 253

182 Generalized principle 2, 3, 14, 36, 38, 117, 254, 303, 304

183 design science as application of 14

184 eternal not special-case 275

185 exceptionless 14

186 God

187 as unknowable totality of 15

188 humanity's wealth 306

189 invention as novel application of 14, 254, 278

190 key to humanity's success 274

191 of 12 degrees of freedom 283

192 of 720° angular takeout 84

193 of duality 55

194 of formula of nuclear sphere packings 125

195 of icosahedron as best sphere approximation 279

196 of oct-tet space-filling ratio 192, 201

197 of synergy 15

198 of triangular-number formula 117

199 of varying rates of geometric expansion 278

200 omni-interaccommodative 15, 40, 305

201 principle of angular topology 2

202 synergetics as the search for 14

203 Universe as total web of all 15

204 Geodesics 2, 241, 245, 246, 250, 251

205 defined 246

206 Expo67 U.S. pavilion dome 1

207 four-frequency icosahedron 86, 251, 255

208 geodesic breakdowns 255

209 geodesic dome 2, 3, 6, 68, 70, 250, 252, 254, 270, 274, 278

210 geodesic dome and frequency 248

211 geodesic mathematics 4, 246

212 geodesic polyhedra 84, 242, 245, 250, 254, 271

213 great-circle chords 250, 256, 278

214 God, not 'the God' 12

215 as 'greater intellectual integrity of eternally regenerative universe' 63, 274, 304

216 as 'unknowable totality of generalized principles' 15

217 as non-anthropomorphic all-encompassing greater intelligence 274

218 Golden section 20, 178

219 Gravity

220 Fuller anecdotes 3, 263

221 mass interattraction 14, 36, 218, 259, 263, 283

222 Great circles 29, 219, 303

223 Great circles

224 bowties 232, 242, 244

225 cosmic railroad tracks 243, 245

226 definition of 219

227 Energy paths 240

228 great-circle arc 220, 235, 247

229 great-circle patterns 222

230 icosahedral 226, 238, 244, 248, 249, 271

231 minimum models 236

232 shortest path 219, 220, 240, 242, 246

233 icosahedron as local shunting circuit 243

234 Greece, ancient 2

235 geometry of 8, 18, 39, 40, 81, 190, 260

236 Greek, use in nomenclature 17, 28, 29, 30, 37, 42, 44

237 Hanging bookshelf 282

238 Harvard University 10, xvi, xxii, 40, 273

239 Harvard University

240 Sever Hall 4

241 Heisenberg, indeterminism 191

242 Hexahedron 2, 154, 156

243 Icosahedron 2, 29, 42, 43, 47, 53

244 and geodesics 250

245 jitterbug and 172, 174

246 net 83

247 structural system 66

248 symmetry of 81, 127, 175, 176, 226, 247, 252, 253, 278, 279

249 volume of 174, 175

250 'dimpling' 68, 69, 303

251 'out-of-phase' role 175, 176, 178, 182, 189, 192, 229, 231

252 Icosidodecahedron 53, 54

253 Impossibles (unempirical constructs) 8

254 circle, perfect continuous 19

255 continuum 133

256 equilibrium, perfect static 173

257 line, imaginary infinite straight 5, 7, 8, 9, 17, 91

258 plane, continuous infinite 9, 75

259 point, sizeless 9, 75

260 solid-things thinking 8, 66, 196, 260, 263, 265, 283

261 solid, continuous-surface 8, 12, 18, 30, 133, 183

262 sphere, continuous-surface 19, 86, 108, 250, 252

263 surface, zero-thickness 25

264 vs 'demonstrables' 8, 9, 18, 20, 25, 72, 75, 109, 188

265 'oneness' 33

266 In-Out vs Up-Down 12

267 Infinity 2, 25

268 and irrational numbers 18

269 circle as many-sided polygon 19

270 sphere as multifaceted polyhedron 19

271 vertices on sphere surface 86

272 Ingber, Donald 5, 272

273 Interprecessing 2, 130, 131, 132

274 Intertransformabilities 50, 54, 55, 149, 152, 167, 202, 205, 217, 222, 223, 228, 231, 304

275 Invention 2, 3, 15, xxi, 25, 26, 70, 149, 254, 258, 274

276 defined 14, 254

277 gestation rates 277

278 Invisibles

279 invisible reality 3, 14, 15, 37, 174, 183, 261, 263, 265, 271, 284

280 invisible Universe 173, 265

281 Isotropic vector matrix (IVM) 2, 12, 135, 170, 175, 202, 205, 208, 304

282 Isotropic vector matrix (IVM)

283 alternating octahedra and tetrahedra 135, 136, 145, 202

284 cube and IVM 145, 147, 148

285 equilibrium 138

286 frame of reference 148, 152, 153, 155, 164, 167, 175, 176, 178, 183, 187, 192, 193, 195, 197, 201, 217, 231, 243

287 IVM' 148, 152, 160, 164, 192

288 omnisymmetry 137, 138, 145, 150, 175, 176, 195, 202

289 omnitriangulation 141

290 square cross-section of IVM 141

291 VE and IVM 2

292 IVM 2

293 Jitterbug

294 complex of jitterbugs 181, 182

295 flexible VE model 170, 180

296 transformation 171, 180, 182, 183, 184, 226, 231, 304

297 Kenner, Hugh 75

298 kissing point 214

299 Klug, Aaron 253

300 Least common denominator (LCD) 208, 209, 212, 227, 239, 248, 257

301 Lesser circle 219

302 Tropic of Cancer 219

303 Leverage 14, 15, 61

304 Life 2

305 Life-support advantage 26, 284

306 Line 2

307 chord 279

308 chord as 252

309 Euclidean 220

310 vector as replacement for 9, 41, 74

311 Local holding patterns 236, 242

312 Loeb, Arthur L. 2, 4, 6, 11, xvii, xviii, xxi, xxii, 40, 48, 49, 50, 51, 52, 53, 55, 56, 65, 105, 152, 157, 164, 165, 197, 210, 302

313 MacCready, Paul

314 Gossamer Albatross 261

315 Malthus, Thomas, Malthusian thinking 5, 284

316 Massachusetts Institute of Technology (MIT) 5, 6, 64, 71

317 Mathematics

318 defined as science of structure and pattern 64, 71, 75

319 Mercator projection 279, 280

320 Metaphysical phenomena

321 mind, life, thought, equilibrium, generalized principles, pattern integrities 4, 8, 13, 26, 35, 63, 89, 106, 107, 205, 304

322 Mite 209, 210, 212, 213, 215, 304

323 Mite

324 cubes and 211, 213

325 mirror symmetry of 211, 215

326 rearrangement of 215, 216

327 rhombic dodecahedron and 212, 213

328 More with less (ephemeralization) 261, 284, 285, 303

329 Mozart 63

330 Multiplication by division 152, 158, 168, 174, 189, 205, 225

331 Natural is what nature permits 11

332 Nature's coordinate system 3, 4, 10, 11, 12, 18, 19, 26, 37, 74, 91, 110, 206, 304

333 Navy 2

334 Nests 2, 304

335 Net, polyhedral 83, 86, 206, 304

336 Neutral axis 261

337 Nuclear spheres 2, 109, 112, 119, 214, 215

338 Nuclear spheres

339 defined 119

340 removal of 170, 175

341 tetrahedron and nuclei 121, 129

342 VE and nuclei 170

343 Octahedron 2, 41, 42, 45, 47, 80, 148

344 closepacked spheres and 114, 115

345 jitterbug and 172

346 octahedral cavities 99, 137, 141, 165, 181, 190, 196

347 octahedral core 159, 176

348 structural system 145

349 symmetry of 80, 222

350 truncated 2

351 Octant 145, 160, 161, 162, 163, 204, 213

352 Octet symmetry 2

353 Octet Truss 3, 68, 70, 137, 149, 150, 190, 211

354 Operational mathematics 7, 8, 26, 32, 33, 152, 154, 155, 232, 250

355 Operational mathematics

356 operational procedure 10, 11, 20, 158, 187, 191, 206

357 Patents 2

358 Pattern integrity 59, 61, 104, 305

359 Pattern integrity

360 knot 62, 63

361 life 10, 63

362 wave 62, 63, 183

363 Pentagonal dodecahedron 2

364 Phase changes 2

365 Philosophy (of Buckminster Fuller) 2, 6, 10, 25, 34, 35, 105, 276, 277, 284

366 Philosophy (of Buckminster Fuller)

367 philosophy 274

368 philosophy and geometry 35, 133, 168, 266

369 Planes of symmetry 114

370 Platonic polyhedra 2

371 Poles of spinnability 47, 49, 124, 221

372 Polyhedra 2

373 geodesic (triangulated) 31, 266, 294

374 irregular 67, 84, 85, 131, 266

375 regular 31, 45, 46, 57, 97, 141, 220, 266, 294, 305

376 regular-Platonic 'solids' 37, 40, 49, 51, 268, 269

377 semiregular 31, 54, 56, 57, 97, 141, 195, 200, 220, 266, 294

378 Precession 2, 59, 130, 183, 305

379 Principle of angular topology 2

380 Quantum 2, 31, 133, 305

381 Quantum

382 discrete quanta 153, 218, 252

383 edges (six) as one 31, 68, 84, 133

384 physics 190

385 units 178

386 Regular polyhedra 2

387 Rhombic dodecahedron 2, 31, 54, 55, 56, 146, 147, 154, 163, 164, 179, 231

388 duality of 193

389 icosahedron and 146, 179, 180

390 space-filling property 193, 194, 195, 197

391 space-filling property 195

392 spheric 147, 148, 195, 212, 213, 217, 305

393 volume 163

394 Rhombic triacontahedron 28, 230, 239

395 Rhombicuboctahedron 165

396 Rhombohedron 143, 191, 197

397 S-module 178, 179, 231

398 Sadao, Shoji 268, 279

399 Saint Peter's Cathedral Dome 258, 260

400 Schlaefli's formula 48

401 Science

402 definition of 8, 36, 158

403 Science of spatial complexity 2

404 Shell, or single-layer, systems 2, 65, 126, 175, 216, 241, 252, 253

405 Sixness

406 cosmic 238

407 six positive-negative linear directions 100, 123, 283

408 Slenderness ratio 260

409 Snelson, Kenneth 266

410 Sodium chloride 36

411 Solar system as tensegrity 263

412 Solids 2

413 geometric 2, 8, 19, 37, 164

414 phase changes in chemistry 174, 184, 185

415 Solway, Carl

416 Carl Solway Gallery 182

417 Southeast Asian basketry 247

418 Space

419 science of spatial complexity 4, 10, 15, 25, 283, 285

420 self-organization/order inherent in space 10, 11, 25, 30, 64, 91, 93, 101, 114, 127, 163, 168, 179, 187, 201, 244

421 shape of space (space has shape) 11, 12, 39, 74, 75, 77, 100, 109, 110, 114, 116, 123, 137, 138, 152, 154, 155, 187, 190, 253

422 spatial constraints 10, 11, 39, 44, 45, 63, 75, 77, 91, 109, 116, 127, 128, 140, 141, 189, 222, 253, 256, 271, 273

423 Space Structures 11, 51

424 Space-filling 2

425 all-space filling 187, 195, 209, 213

426 complementarity 2, 181

427 complex 185, 187, 209, 243

428 cubes 192

429 domain of sphere 147

430 filling space with closepacked spheres 116, 242

431 formula for space filling 192, 197

432 IVM and 2, 148, 149, 192, 202

433 octet symmetry 190, 212, 217

434 rhombohedron 143, 191

435 space fillers 187, 189, 197, 200, 209, 213, 215, 217

436 space fillers, other 191

437 teams 192

438 truncated octahedron 2, 195, 217

439 Spaceship Earth 6, 22, 66, 274, 276, 277, 305

440 Special case 72, 275, 305

441 Special case

442 special case system 167

443 special-case experience 14, 31

444 Sphere 2

445 defined 108

446 frame of reference for polyhedral systems 221

447 omnisymmetrical form 122, 221, 242

448 surface area of 19, 236, 250, 278

449 Spheric 2

450 Spherical polyhedra 220, 221, 222, 223, 225, 227, 228, 234, 237, 247, 279

451 Spherical triangles 32, 223, 227, 229, 238, 240, 305

452 Spherical trigonometry 86, 257, 258

453 Spin/spinnability 2

454 Star tetrahedron 223, 238

455 Stellation

456 definition of 51

457 degenerate 55

458 degenerate stellation 52, 56, 145, 148, 193, 230

459 Straight line 2

460 Structural stability 2

461 necklace 59

462 prime structural systems 125

463 stability and jitterbug 170

464 stability formula 65

465 triangulation 64, 127, 149, 202, 240, 247, 249, 250, 256, 272

466 Structure

467 definition of 66

468 Sunrise/Sunset

469 Sunsight/Sunclipse, suggested modern-era terms 22

470 persistent misnomers evidencing misperceptions 3, 5, 22

471 Symmetry 2

472 defined 57, 109, 202

473 mirror symmetry 57, 203

474 octet symmetry 216

475 omnisymmetry 2, 95, 96, 99, 122, 148, 149, 242

476 planar symmetry 92

477 polyhedra as symmetry patterns 75, 192

478 rotational symmetry 121, 176, 181, 189, 211, 221, 223

479 seven unique axes of symmetry 114, 226, 244

480 spatial symmetry 2

481 Synergetics accounting 139

482 cosmic accounting 205

483 Synergetics\

484 Explorations in the Geometry of Thinking 5, 6, xiii, xiv, xviii, xx, xxiii, 27, 32, 36, 53, 76, 79, 81, 103, 110, 119, 186, 195, 210, 220

485 Explorations in the Geometry of Thinking

486 topology combined with vectorial geometry 74

487 Loeb's 'Contribution to Synergetics' 40, 157, 168, 178, 180, 191, 192, 210

488 Synergetics2\

489 Further Explorations in the Geometry of Thinking xiii, xviii, xx, xxiii

490 Loeb's 'Addendum' 178

491 Synergy 15, 28, 36, 151, 306

492 Synergy

493 alloys 36

494 and synergetics, synergetic-energetic-geometry 37

495 defined 36

496 in tensegrity 269

497 System

498 definition of 28, 29, 46, 48, 306

499 Takeout 2

500 Technology

501 as pure principle in action 274

502 nature's self-organization as high technology 15

503 Tensegrity 4, xv, 258, 260, 263, 306

504 Tensegrity

505 interplay of tension and compression in Universe 258, 265, 271, 272

506 models 266

507 pneumatics 271, 272

508 tensile strength 37, 261, 268, 269

509 tension materials 106, 261, 263, 269, 282

510 use of tension in construction 263, 265

511 Tessellations 41, 188, 250

512 Tetrahedron 41, 42, 45, 47, 250

513 Tetrahedron

514 basic unit in Synergetics 31, 41, 156, 158, 159, 184

515 central angle of 145, 146

516 cheese 155

517 inside-out 173

518 isotropic vector matrix and 140

519 jitterbug and 173

520 minimum system of Universe 29, 30, 34, 35, 81, 104, 140, 149, 156, 168, 173, 203, 215, 236

521 perpendicular symmetry of 130, 164, 165

522 rigidity of 150

523 sphere-cluster tetrahedra 2

524 subdivision of tetrahedron 2, 159, 160, 163, 164, 202, 203

525 surface angles of 62, 84

526 tetrahedroning 23, 24, 199

527 truncation of 51, 143

528 unit of volume 153, 156, 162, 168, 174, 215

529 Tetrakaidecahedron (truncated octahedron) 52, 143, 195, 196

530 Three-way grid 2, 247, 256, 272

531 Titanium shell experiment 253

532 Triangles 2

533 equilateral triangles in vector equilibrium 98

534 similar 155, 157

535 stability of 2, 28, 61, 172, 258, 278

536 triangular numbers 117

537 'triangling' instead of squaring 22, 23, 24

538 Tropic of Cancer 2

539 Truncation 50, 196

540 Truncation

541 definition of 51

542 degenerate 55, 98, 165

543 isotropic vector matrix and 143, 148, 195

544 Truss 2

545 Tune-in-ability 33, 34, 35, 271, 306

546 Twelve degrees of freedom 2

547 Unempirical constructs 2

548 United States Patents

549 2,682,235 (1954) 258

550 4,377,114 (1983) 282

551 2,393,676 (1946) 281

552 Universe 2, 12, 306

553 Universe

554 as 'incredible technology' 274

555 defined by Fuller 13

556 differences in Universe as modulation of angle and frequency 73

557 product of interaction between principles and energy 14, 40, 66, 173, 274

558 'scenario Universe' 12, 13, 26, 36, 61, 149, 158

559 'single-frame' Universe 12, 13

560 'trans-Universe' vs 'locally operative' 175

561 Valency 51, 176, 183, 306

562 Valency

563 definition of 32

564 in duality 55, 147, 148

565 'quadrivalent' 173

566 Valving 206, 211, 306

567 Vector 2

568 and energy events 74, 91, 135, 306

569 and forces 94, 252

570 and interactions 90, 91, 93

571 as replacement for line 2

572 sphere packing and 2

573 topology and 74

574 Vector equilibrium (VE) 2, 306

575 Vector equilibrium (VE)

576 closepacked spheres and 108, 114, 175

577 conceptual vs actual equilibrium 174, 176

578 cuboctahedron as 97

579 equilibrium defined 89

580 equilibrium in nature 263

581 hexagons and equilibrium 95, 96, 97, 101, 108, 111, 112, 114, 180

582 hidden VE inside octahedron 165, 166

583 model of 94

584 space filling and 136, 139, 181, 192, 197

585 tetrahedron and 162

586 time and equilibrium 107

587 Video 2

588 Virus 10, 11, 127, 128, 175, 252, 253, 307, 308

589 Visual literacy 25

590 Volume ratios 152, 153, 158, 159, 167, 174

591 use of volume constant 156, 157

592 volume-to-surface-area ratio 67, 127, 128, 150, 278

593 Wealth 284, 306

594 Wealth

595 generalized principles as humanity's 14, 82

596 redefined 284

597 Whole numbers 166, 168, 306

598 Whole numbers

599 whole-number relationship 19, 20, 31, 153, 154, 162, 163, 174, 175, 293

600 Whole systems 32, 33, 36, 38, 39, 40, 110, 158, 159, 166, 169, 257, 263, 269, 273, 275, 276, 277, 279, 280, 282, 293, 305, 306

601 Yale University 272

602 Yang, Chen Ning 191

603 Zung, Thomas T.K. 268

604 -ness (conceptionings of space/systems) 2

605 90-degreeness 81

606 betweenness 29

607 fourness 55, 81

608 handedness 191

609 insideness/outsideness 29, 35, 104, 215, 293

610 oneness 33

611 somethingness of space 12

612 thingness 13

613 twelveness 241

614 'Dare to be naïve' 27, 39

615 'Fake bubbles' 17

616 'Hands-on' mathematics 3, 26, 119, 217

617 'Impossible' achievements

618 human flight 261

619 spans exceeding 150 ft. 259

620 'Unity is plural' 33, 168, 173, 191, 302, 303