Kaleidoscopes: Selected Writings of H.S.M. Coxeter Book

	Acknowledgments
	H. S. M. Coxeter: A Biographical Sketch
	Publications by H. S. M. Coxeter
	Ph.D. Students of H. S. M. Coxeter
	An Introduction to the Papers	1
1	The Nine Regular Solids	5
2	The Regular Sponges, or Skew Polyhedra	19
3	Two Aspects of the Regular 24-Cell	25
4	The Densities of the Regular Polytopes I	35
5	The Densities of the Regular Polytopes II	47
6	The Densities of the Regular Polytopes III	61
7	On Schlafli's Generalization of Napier's Pentagramma Mirificum	83
8	A Challenging Definite Integral	105
9	Trisecting an Orthoscheme	107
10	Star Polytopes and the Schlafli Function [actual symbol not reproducible]	121
11	Groups Whose Fundamental Regions are Simplexes	133
12	The Complete Enumeration of Finite Groups of the Form [actual symbol not reproducible]	139
13	Discrete Groups Generated by Reflections	145
14	Finite Groups Generated by Reflections, and Their Subgroups Generated by Reflections	179
15	Orthogonal Trees	197
16	The Product of the Generators of a Finite Group Generated by Reflections	207
17	The Evolution of Coxeter-Dynkin Diagrams	225
18	Extreme Forms	241
19	Review of Conway & Sloane: Sphere Packings, Lattices and Groups	243
20	Regular and Semi-Regular Polytopes I	251
21	Regular and Semi-Regular Polytopes II	279
22	Regular and Semi-Regular Polytopes III	313
23	Factor Groups of the Braid Group	357
24	Groups Generated by Unitary Reflections of Period Two	385
25	Finite Groups Generated by Unitary Reflections	415
26	Surprising Relationships among Unitary Reflection Groups	427
	Index	437