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Polytopes and Symmetry

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ISBN-10: 0521277396

ISBN-13: 9780521277396

Edition: 1984

Authors: Stewart A. Robertson, J. W. S. Cassels, N. J. Hitchin

List price: $36.95
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Description:

Convex polytopes are the analogues in space of any dimension of convex plane polygons and of convex polyhedra in ordinary space. This book describes a fresh approach to the classification of these objects according to their symmetry properties, based on ideas of topology and transformation group theory. Although there is considerable agreement with traditional treatments, a number of new concepts emerge that present classical ideas in a quite new way. For example, the family of regular convex polytopes is extended to the family of 'perfect polytopes'. Thus the familiar set of five Platonic polyhedra is replaced by the less familiar set of nine perfect polyhedra. Among the many unsolved…    
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Book details

List price: $36.95
Copyright year: 1984
Publisher: Cambridge University Press
Publication date: 1/26/1984
Binding: Paperback
Pages: 132
Size: 6.25" wide x 9.25" long x 0.25" tall
Weight: 0.440

Preface
Synopsis
The space of polytopes
Combinatorial structure
Symmetry equivalence
Products and sums
Polygons
Polyhedra
Concluding remarks
Bibliography
Index of symbols
Index of names
General index