| Preface |
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| I First Steps.-1 Introduction to the Polyhedron Kingdom. Marjorie Senechal- 2 Six Recipes for Making Polyhedra. Marion Walter; Jean Pedersen; MagnusWenninger; Doris Schattschneider; Arthur Loeb; and Eric Demaine, Martin Demaine and Vi Hart |
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| 3 Regular and Semiregular Polyhedra. H. S. M. Coxeter |
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| 4 Milestones in the History of Polyhedra. Joseph Malkevitch |
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| 5 Polyhedra: Surfaces or Solids? Arthur Loeb |
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| 6 Dürer's Problem. Joseph O'Rourke |
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| II Polyhedra in Nature and Art |
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| 7 Exploring the Polyhedron Kingdom. Marjorie Senechal |
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| 8 Spatial Perception and Creativity. Janos Baracs |
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| 9 Goldberg Polyhedra. George Hart |
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| 10 Polyhedra and Crystal Structures. Chung Chieh |
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| 11 Polyhedral Molecular Geometries. Magdolna Hargittai and Istvan Hargittai |
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| 12 Form, Function, and Functioning. George Fleck |
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| III Polyhedra in the Geometrical Imagination |
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| 13 The Polyhedron Kingdom Tomorrow. Marjorie Senechal |
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| 14 Paneled and Molecular Polyhedra: How Stable Are They? Ileana Streinu |
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| 15 Duality of Polyhedra. Banko Grünbaum and G. C. Shephard |
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| 16 Combinatorial Prototiles. Egon Schulte |
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| 17 Polyhedra Analogues of the Platonic Solids. Jörg M. Wills |
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| 18 Convex Polyhedra, Dirichlet Tessellations, and Spider Webs. Walter Whiteley with Peter Ash, Ethan Bolker, and Henry Crapo |
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| 19 Uniform Polyhedra from Diophantine Equations. Barry Monson |
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| 20 Torus Decompositions of Regular Polytopes in 4-space. Thomas F. Banchoff |
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| 21 Tensegrities and Global Rigidity. Robert Connelly |
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| 22 Ten Problems in Geometry. Günter Ziegler and Moritz Schmitt |
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| Notes and References |
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| Sources, Acknowledgments, and Contributors |
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| Index |
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| Preface |
|
| I First Steps.-1 Introduction to the Polyhedron Kingdom. Marjorie Senechal- 2 Six Recipes for Making Polyhedra. Marion Walter; Jean Pedersen; MagnusWenninger; Doris Schattschneider; Arthur Loeb; and Eric Demaine, Martin Demaine and Vi Hart |
|
| 3 Regular and Semiregular Polyhedra. H. S. M. Coxeter |
|
| 4 Milestones in the History of Polyhedra. Joseph Malkevitch |
|
| 5 Polyhedra: Surfaces or Solids? Arthur Loeb |
|
| 6 Dürer's Problem. Joseph O'Rourke |
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