Twisted Honeycombs (CBMS regional conference series in mathematics) - Softcover

H. S. M. Coxeter

 
9780821816530: Twisted Honeycombs (CBMS regional conference series in mathematics)

Synopsis

Introduction Regular tessellations Finite groups of rotations Groups generated by two or three reflections The Petrie polygon of a tessellation The regular tesselations $\{p,q\}_r$ 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 References

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Review

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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9780821849415: Twisted Honeycombs (Cbms Regional Conference Series in Mathematics)

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ISBN 10:  0821849417 ISBN 13:  9780821849415
Publisher: Amer Mathematical Society
Softcover