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Beyond the Cube
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Contents
1 Preface
2 Polyhedra, from Pythagoras to Alexander Graham Bell
2.1 INTRODUCTION
2.2 NATURAL CRYSTALS
2.3 THE EARLIEST POLYHEDRAL OBJECTS
2.4 THE ANCIENT GREEKS ON POLYGONS
2.5 THE ANCIENT GREEKS ON POLYHEDRA
2.6 ANCIENT POLYHEDRAL MODELS
2.7 MEDIEVAL APPROACH
2.8 CONTRIBUTIONS FROM THE ARABIC WORLD
2.9 PAOLO UCCELLO (ca. 1397–1475) AND THE ‘‘MAZZOCCHIO’’
2.10 PDERO DELLA FRANCESCA (ca. 1420–1492) AND HIS PERSPECTIVE LESSONS
2.11 LUCA PACIOLI (ca. 1445–1517) AND THE MODEL APPROACH
2.12 LEONARDO DAVINCI (1452–1519) AND THE LATTICE STRUCTURE
2.13 ALBRECHT DURER (1471–1528) AND THE CLEARING OF POLYHEDRAL IMAGES
2.14 JOHANN NEUDORFER (1497–1563) AND THE DDDACTBC MODEL
2.15 WENZEL JAMNITZER (ca. 1508–1585) AND RENAISSANCE AESTHETICS
2.16 JOHANNES KEPLER (1571–1630) AND POLYHEDRAL NOMENCLATURE VERSUS COSMOLOGY
2.17 THE CHINESE ‘‘DEVIL’S WORK BALLS’’
2.18 BROOK TAYLOR (1685–1731) ON PERSPECTIVE PROJECTION OF POLYHEDRA
2.19 MAX BRUCKNER (1860–1934) AND HIS PAPER MODEL COLLECTION
2.20 ALEXANDER GRAHAM BELL (1847–1922) AND INVENTIVE USE OF TETRAHEDRA
2.21 CONCLUSIONS
2.22 METHODOLOGY
2.23 ACKNOWLEDGMENTS
2.24 NOTES
2.25 INTRODUCTION
2.26 GOFF’S LEGACY
2.27 ACKNOWLEDGMENTS
2.28 NOTES
2.29 BIBLIOGRAPHY
3 Louis Kahn and Space Frames
3.1 INTRODUCTION
3.2 CONCLUSION
3.3 ACKNOWLEDGMENTS
3.4 NOTES
4 Buckminster Fuller and the Relevant Pattern
4.1 INTRODUCTION
4.2 THE RELEVANT PATTERN
4.3 NOTES
5 Polyhedral Structure
5.1 INTRODUCTION
5.2 AMERICAN EVANGELISM: IMPROVISED RITUAL AND SPACE
5.3 THE REPRESENTAT8ON OF MORALITY: THE CATHEDRAL AND THE HISTORICAL AVANT-GARDE
5.4 THE GLASS CHAIN BORN AGAIN
5.5 FROM BOULLEE TO OLDENBURG: THE STRUCTURE IN A POSTMODERN CONTEXT
5.6 THE STRUCTURE AND AMERICAN MYTHOLOGIES OF NATURE
5.7 THE CONTEMPORARY PASTURE: A CATHEDRAL IN A PARK
5.8 CONCLUSION
5.9 NOTES
5.10 BIBLIOGRAPHY
6 Tetrahedral Purity: The Javits Center
6.1 INTRODUCTION
6.2 ARCHITECTURE AND POLITICS
6.3
6.4 CONCLUSION
6.5 BIBLIOGRAPHY
7 Double Curvature Space Frames Supported on Four Points: Design and Construction of the International Plaza of Portopia ‘81
7.1 INTRODUCTION
7.2 CONCLUSION
7.3 CONCLUSION
8 Deconstruction of the Cube
8.1 INTRODUCTION
8.2 THE REGULAR TETRAHEDRON AND OCTAHEDRON
8.3 THE CUBOCTAHEDRON
8.4 THE STELLA OCTANGULA
8.5 CUBOCTAHEDRON WITH CONSTITUENT TETRAHEDRA AND OCTAHEDRA
8.6 THE RHOMBIC DODECAHEDRON
8.7 CONCLUSIONS
8.8 NOTES
9 The Polyhedral World
9.1 INTRODUCTION
9.2 WHICH POLYHEDRA DO WE KNOW?
9.3 NOTES
10 Proportion and Symbolism in Polyhedra
10.1 INTRODUCTION
10.2 CONCLUSION
10.3 SYMBOLISM AND POLYHEDRA
10.4 The Constitution of Polyhedra and Their Interrelations
10.5 CONCLUSION
10.6 NOTES
11 The Structural Morphology of Basic Polyhedra
11.1 INTRODUCTION
11.2 CONCLUSION
11.3 CONCLUSION
11.4 NOTES
12 Computer-Aided Processing of Polyhedric Configurations
12.1 INTRODUCTION
12.2 NOTES
13 Tensegrity: Theory and Application
13.1 INTRODUCTION
13.2 NOTES
14 Visual Morphology of Space Labyrinths: A Source for Architecture and Design
14.1 INTRODUCTION
14.2 NOTES
15 Quasicrystal Architecture: The Space of Experience
15.1 INTRODUCTION
15.2 NOTES
16 Are Space Frames Habitable?
16.1 INTRODUCTION
16.2 INSIDE POLYHEDRA
16.3
16.4 THE HEXMOD: ITS MORPHOLOGY
16.5 CONCLUSION
16.6 NOTES
16.7 BIBLIOGRAPHY
Index
Beyond the Cube
Editor: Jean-François Gabriel
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