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

Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space—Exploring Polyhedra in Nature, Art, and the Geometrical Imagination is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most f...

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Bibliographic Details
Other Authors: Senechal, Marjorie (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 2013, 2013
Edition:1st ed. 2013
Subjects:
Design
Geometry
Crystallography
Crystallography And Scattering Methods
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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

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