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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Polytopes and Symmetry

Polytopes and Symmetry

Robertson, Stewart a.
Cassels, J. W. S.
Hitchin, N. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 90

General MathematicsGeometry

ISBN10: 0521277396
ISBN13: 9780521277396
Publisher: Cambridge University Press
Published: Jan 26 1984
Pages: 132
Weight: 0.45
Height: 0.38 Width: 6.34 Depth: 9.26
Language: English
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.

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