The Beauty of Geometry Twelve Essays

by Coxeter, H. S. M.

• ISBN13: 9780486409191
• ISBN10: 0486409198
• Format: Paperback
• Copyright: 1999-07-02
• Publisher: Dover Publications

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
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