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Polytopes and Symmetry : London Mathematical Society Lecture Notes - Stewart A. Robertson

Polytopes and Symmetry

London Mathematical Society Lecture Notes

Paperback Published: 26th March 1984
ISBN: 9780521277396
Number Of Pages: 132

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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 problems that arise, that of finding all perfect polytopes, and more generally all perfect convex bodies, is perhaps the most attractive. This book will be of value to specialists and graduate students in pure mathematics, especially those studying symmetry theory, convex bodies, and polytopes.

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521277396
ISBN-10: 0521277396
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 132
Published: 26th March 1984
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.52 x 16.1  x 0.97
Weight (kg): 0.2

Earn 96 Qantas Points
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