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Twisted Honeycombs
A co-publication of the AMS and CBMS
| eBook ISBN: | 978-1-4704-2364-3 |
| Product Code: | CBMS/4.E |
| List Price: | $23.00 |
| Individual Price: | $18.40 |
Click above image for expanded view
Twisted Honeycombs
A co-publication of the AMS and CBMS
| eBook ISBN: | 978-1-4704-2364-3 |
| Product Code: | CBMS/4.E |
| List Price: | $23.00 |
| Individual Price: | $18.40 |
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Book DetailsCBMS Regional Conference Series in MathematicsVolume: 4; 1970; 47 ppMSC: Primary 05; Secondary 16; 20; 55
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Table of Contents
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Chapters
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Introduction
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Regular tessellations
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Finite groups of rotations
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Groups generated by two or three reflections
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The Petrie polygon of a tessellation
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The regular tessellations $\{p, q\}_r$
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Three-dimensional honeycombs
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The simplex, cube, cross polytope and 24-cell
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The 120-cell and the 600-cell
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Groups generated by four reflections
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The Petrie polygon of a honeycomb
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The regular honeycombs $\{p, q, r\}_t$
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Finite groups of quaternions
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Quaternions and Petrie polygons
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Table 1. Regular tessellations $\{p, q\}_r$ and their groups
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Table 2. Reflexible honeycombs and their groups
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Table 3. Twisted honeycombs and their groups
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Reviews
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An entertaining review of the subject, presented with the clarity and elegance that are so characteristic of the author.
J. A. Todd, Mathematical Reviews
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
Volume: 4; 1970; 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 publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.