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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Senechal, Marjorie. (Editor)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Subjects: Mathematics.; Design and construction.; Geometry.; Crystallography.; Design, general.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-92714-5

Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space<U+0014>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 olde...

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 D<U+00fc>rer'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 Gr<U+00fc>nbaum and G. C. Shephard
• 16 Combinatorial Prototiles. Egon Schulte
• 17 Polyhedra Analogues of the Platonic Solids. Jr̲g 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. G<U+00fc>nter Ziegler and Moritz Schmitt
• Notes and References
• Sources, Acknowledgments, and Contributors
• Index.