Twisted Honeycombs
Share this pageH. S. M. Coxeter
A co-publication of the AMS and CBMS
Reviews & Endorsements
An entertaining review of the subject, presented with the clarity and elegance that are so characteristic of the author.
-- J. A. Todd, Mathematical Reviews
Table of Contents
Table of Contents
Twisted Honeycombs
- Cover Cover11 free
- Title i2 free
- Copyright ii3 free
- Contents iii4 free
- 1. Introduction 16 free
- 2. Regular tessellations 27 free
- 3. Finite groups of rotations 38
- 4. Groups generated by two or three reflections 510
- 5. The Petrie polygon of a tessellation 813
- 6. The regular tessellations {p, q}[sub(r)] 1116
- 7. Three-dimensional honeycombs 1419
- 8. The simplex, cube, cross polytope and 24-cell 1722
- 9. The 120-cell and the 600-cell 1924
- 10. Groups generated by four reflections 2429
- 11. The Petrie polygon of a honeycomb 2530
- 12. The regular honeycombs {p, q, r}[sub(t)] 2833
- 13. Finite groups of quaternions 3641
- 14. Quaternions and Petrie polygons 4247
- Table 1. Regular tessellations {p, q}[sub(r)] and their groups 4449
- Table 2. Reflexible honeycombs and their groups 4550
- Table 3. Twisted honeycombs and their groups 4651
- References 4752
- Back Cover Back Cover153