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London Mathematical Society Lecture Note Series: Polytopes and Symmetry Series Number 90 (Paperback)Stewart A. Robertson (author)
Paperback 132 Pages / Published: 26/01/1984
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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.
Publisher: Cambridge University Press
Number of pages: 132
Weight: 210 g
Dimensions: 229 x 152 x 8 mm
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