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This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought.

Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels-in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.

Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination

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.- 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 and Istvan Hargittai.- 12 Form, Function, and Functioning. George Fleck.- 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. Banko Grünbaum and 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 with Peter Ash, Ethan Bolker, and Henry Crapo.- 19 Uniform Polyhedra from Diophantine Equations. Barry Monson.- 20 Torus Decompositions of Regular Polytopes in 4-space. Thomas F. Banchoff.- 21 Tensegrities and Global Rigidity. Robert Connelly.- 22 Ten Problems in Geometry. Günter Ziegler and Moritz Schmitt.- Notes and References.- Sources, Acknowledgments, and Contributors.- Index.