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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
3 CONTRIBUTIONS FROM THE ARABIC WORLD
3.1 PAOLO UCCELLO (ca. 1397–1475) AND THE ‘‘MAZZOCCHIO’’
3.2 PDERO DELLA FRANCESCA (ca. 1420–1492) AND HIS PERSPECTIVE LESSONS
3.3 LUCA PACIOLI (ca. 1445–1517) AND THE MODEL APPROACH
3.4 LEONARDO DAVINCI (1452–1519) AND THE LATTICE STRUCTURE
3.5 ALBRECHT DURER (1471–1528) AND THE CLEARING OF POLYHEDRAL IMAGES
3.6 JOHANN NEUDORFER (1497–1563) AND THE DDDACTBC MODEL
3.7 WENZEL JAMNITZER (ca. 1508–1585) AND RENAISSANCE AESTHETICS
3.8 JOHANNES KEPLER (1571–1630) AND POLYHEDRAL NOMENCLATURE VERSUS COSMOLOGY
3.9 THE CHINESE ‘‘DEVIL’S WORK BALLS’’
3.10 BROOK TAYLOR (1685–1731) ON PERSPECTIVE PROJECTION OF POLYHEDRA
3.11 MAX BRUCKNER (1860–1934) AND HIS PAPER MODEL COLLECTION
3.12 ALEXANDER GRAHAM BELL (1847–1922) AND INVENTIVE USE OF TETRAHEDRA
3.13 CONCLUSIONS
3.14 METHODOLOGY
3.15 ACKNOWLEDGMENTS
3.16 NOTES
3.17 INTRODUCTION
4 GOFF’S LEGACY
5 ACKNOWLEDGMENTS
6 NOTES
6.1 BIBLIOGRAPHY
7 Louis Kahn and Space Frames
7.1 INTRODUCTION
7.2 CONCLUSION
7.3 ACKNOWLEDGMENTS
7.4 NOTES
8 Buckminster Fuller and the Relevant Pattern
8.1 INTRODUCTION
8.2 THE RELEVANT PATTERN
8.3 NOTES
9 Polyhedral Structure
9.1 INTRODUCTION
9.2 AMERICAN EVANGELISM: IMPROVISED RITUAL AND SPACE
9.3 THE REPRESENTAT8ON OF MORALITY: THE CATHEDRAL AND THE HISTORICAL AVANT-GARDE
9.4 THE GLASS CHAIN BORN AGAIN
9.5 FROM BOULLEE TO OLDENBURG: THE STRUCTURE IN A POSTMODERN CONTEXT
9.6 THE STRUCTURE AND AMERICAN MYTHOLOGIES OF NATURE
9.7 THE CONTEMPORARY PASTURE: A CATHEDRAL IN A PARK
9.8 CONCLUSION
9.9 NOTES
9.10 BIBLIOGRAPHY
10 Tetrahedral Purity: The Javits Center
10.1 INTRODUCTION
10.2 ARCHITECTURE AND POLITICS
10.3
10.4 CONCLUSION
10.5 BIBLIOGRAPHY
11 Double Curvature Space Frames Supported on Four Points: Design and Construction of the International Plaza of Portopia ‘81
11.1 INTRODUCTION
11.2 CONCLUSION
11.3 CONCLUSION
12 Deconstruction of the Cube
12.1 INTRODUCTION
12.2 CONCLUSION
12.3 NOTES
13 The Polyhedral World
13.1 INTRODUCTION
13.2 NOTES
14 Proportion and Symbolism in Polyhedra
14.1 INTRODUCTION
14.2 CONCLUSION
14.3 SYMBOLISM AND POLYHEDRA
14.4 The Constitution of Polyhedra and Their Interrelations
14.5 CONCLUSION
14.6 NOTES
15 The Structural Morphology of Basic Polyhedra
15.1 INTRODUCTION
15.2 CONCLUSION
15.3 CONCLUSION
15.4 NOTES
16 Computer-Aided Processing of Polyhedric Configurations
16.1 INTRODUCTION
16.2 NOTES
17 Tensegrity: Theory and Application
17.1 INTRODUCTION
17.2 NOTES
18 Visual Morphology of Space Labyrinths: A Source for Architecture and Design
18.1 INTRODUCTION
18.2 NOTES
19 Quasicrystal Architecture: The Space of Experience
19.1 INTRODUCTION
19.2 NOTES
20 Are Space Frames Habitablehabitable?
20.1 INTRODUCTION
20.2 INSIDE POLYHEDRA
20.3
20.4 THE HEXMOD: ITS MORPHOLOGY
20.5 CONCLUSION
20.6 NOTES
20.7 BIBLIOGRAPHY
Index
Beyond the Cube
Jean-François Gabriel
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