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Twisted Honeycombs

A co-publication of the AMS and CBMS
Available Formats:
Electronic ISBN: 978-1-4704-2364-3
Product Code: CBMS/4.E
List Price: $21.00 Individual Price:$16.80
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Twisted Honeycombs
A co-publication of the AMS and CBMS
Available Formats:
 Electronic ISBN: 978-1-4704-2364-3 Product Code: CBMS/4.E
 List Price: $21.00 Individual Price:$16.80
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 41970; 47 pp
MSC: Primary 05; Secondary 16; 20; 55;

• Chapters
• Introduction
• Regular tessellations
• Finite groups of rotations
• Groups generated by two or three reflections
• The Petrie polygon of a tessellation
• The regular tessellations $\{p, q\}_r$
• Three-dimensional honeycombs
• The simplex, cube, cross polytope and 24-cell
• The 120-cell and the 600-cell
• Groups generated by four reflections
• The Petrie polygon of a honeycomb
• The regular honeycombs $\{p, q, r\}_t$
• Finite groups of quaternions
• Quaternions and Petrie polygons
• Table 1. Regular tessellations $\{p, q\}_r$ and their groups
• Table 2. Reflexible honeycombs and their groups
• Table 3. Twisted honeycombs and their groups
• Reviews

• An entertaining review of the subject, presented with the clarity and elegance that are so characteristic of the author.

J. A. Todd, Mathematical Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 41970; 47 pp
MSC: Primary 05; Secondary 16; 20; 55;
• Chapters
• Introduction
• Regular tessellations
• Finite groups of rotations
• Groups generated by two or three reflections
• The Petrie polygon of a tessellation
• The regular tessellations $\{p, q\}_r$
• Three-dimensional honeycombs
• The simplex, cube, cross polytope and 24-cell
• The 120-cell and the 600-cell
• Groups generated by four reflections
• The Petrie polygon of a honeycomb
• The regular honeycombs $\{p, q, r\}_t$
• Finite groups of quaternions
• Quaternions and Petrie polygons
• Table 1. Regular tessellations $\{p, q\}_r$ and their groups
• Table 2. Reflexible honeycombs and their groups
• Table 3. Twisted honeycombs and their groups
• An entertaining review of the subject, presented with the clarity and elegance that are so characteristic of the author.

J. A. Todd, Mathematical Reviews
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.