Shaping Space

Part I. First Steps

1. Introduction to the Polyhedron Kingdom
Marjorie Senechal

2. Six Recipes for Making Polyhedra
Marion Walter, Jean Pedersen, Magnus Wenninger, Doris Schattschneider, Arthur L. Loeb, Erik Demaine, Martin Demaine, 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 L. Loeb

6. Dürer’s Problem
Joseph O’Rourke

Part II. Polyhedra in Nature and Art

7. Exploring the Polyhedron Kingdom
Marjorie Senechal

8. Spatial Perception and Creativity
Janos Baracs

9. Goldberg Polyhedra
George Hart

10. Polyhedra and Crystal Structures
Chung Chieh

11. Polyhedral Molecular Geometries
Magdolna Hargittai, Istvan Hargittai

12. Form, Function, and Functioning
George Fleck

Part III. Polyhedra in the Geometrical Imagination

13. The Polyhedron Kingdom Tomorrow
Marjorie Senechal

14. Paneled and Molecular Polyhedra: How Stable Are They?
Ileana Streinu

15. Duality of Polyhedra
Branko Grünbaum, G. C. Shephard

16. Combinatorial Prototiles
Egon Schulte

17. Polyhedra Analogues of the Platonic Solids
Jörg M. Wills

18. Convex Polyhedra, Dirichlet Tessellations, and Spider Webs
Walter Whiteley, Peter F. Ash, Ethan Bolker, Henry Crapo

19. Uniform Polyhedra from Diophantine Equations
Barry Monson

20. Torus Decompostions of Regular Polytopes in 4-space
Thomas F. Banchoff

21. Tensegrities and Global Rigidity
Robert Connelly

22. Ten Problems in Geometry
Moritz W. Schmitt, Günter M. Ziegler

Nyckelord: Mathematics, Geometry, Crystallography, Design, general