The Beauty of Geometry Twelve Essays
by Coxeter, H. S. M.Format: Paperback
Pub. Date: 1999-07-02
Publisher(s): Dover Publications
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Summary
These absorbing essays by a distinguished mathematician provide a compelling demonstration of the charms of mathematics. Stimulating and thought-provoking, this collection is sure to interest students, mathematicians and any math buff with its lucid treatment of geometry and the crucial role geometry plays in a wide range of mathematical applications.
Table of Contents
| Preface | p. v |
| The Functions of Schlafli and Lobatschefsky | p. 3 |
| Integral Cayley Numbers | p. 21 |
| Wythoff's Construction for Uniform Polytopes | p. 40 |
| The Classification of Zonohedra by Means of Projective Diagrams | p. 54 |
| Regular Skew Polyhedra in Three and Four Dimensions, and Their Topological Analogues | p. 75 |
| Self-dual Configurations and Regular Graphs | p. 106 |
| Twelve Points in PG(5, 3) with 95040 Self-transformations | p. 150 |
| Arrangements of Equal Spheres in Non-Euclidean Spaces | p. 166 |
| An Upper Bound for the Number of Equal Nonoverlapping Spheres That Can Touch Another of the Same Size | p. 179 |
| Regular Honeycombs in Hyperbolic Space | p. 199 |
| Reflected Light Signals | p. 215 |
| Geometry | p. 229 |
| Index | p. 269 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
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