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Polytopes and Symmetry
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Polytopes and Symmetry Paperback - 1984

by Stewart a. Robertson


From the publisher

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.

Details

  • Title Polytopes and Symmetry
  • Author Stewart a. Robertson
  • Binding Paperback
  • Pages 132
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 1984-01-26
  • Features Bibliography
  • ISBN 9780521277396 / 0521277396
  • Weight 0.45 lbs (0.20 kg)
  • Dimensions 9.26 x 6.34 x 0.38 in (23.52 x 16.10 x 0.97 cm)
  • Library of Congress subjects Symmetry, Convex polytopes
  • Library of Congress Catalog Number 83015171
  • Dewey Decimal Code 516.1
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Polytopes and Symmetry
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Polytopes and Symmetry

by Stewart A. Robertson

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Polytopes and Symmetry

Polytopes and Symmetry

by Stewart A. Robertson

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Polytopes and Symmetry

Polytopes and Symmetry

by Stewart A. Robertson

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Paperback / softback. New. This book describes a fresh approach to the classification of of convex plane polygons and of convex polyhedra 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.
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Polytopes and Symmetry (London Mathematical Society Lecture Note Series, Series Number 90)
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Polytopes and Symmetry (London Mathematical Society Lecture Note Series, Series Number 90)

by Robertson, Stewart A

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Polytopes and Symmetry (London Mathematical Society Lecture Note Series, Series Number 90)
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Polytopes and Symmetry (London Mathematical Society Lecture Note Series, Series Number 90)

by Robertson, Stewart A

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Cambridge University Press. paperback. New. New. In shrink wrap. Looks like an interesting title!
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