Twisted honeycombs, by H. S. M. Coxeter.

Format:

Book

Author/Creator:

Coxeter, H. S. M. (Harold Scott Macdonald), 1907-2003, author.

Contributor:

Conference Board of the Mathematical Sciences.

Series:

CBMS Regional Conference Series in Mathematics, 2380-5668 ; v. 4

Language:

English

Subjects (All):

Combinatorial analysis.

Group theory.

Geometry.

Physical Description:

1 online resource (iv, 47 pages : illustrations)

Place of Publication:

Providence, Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society [c1970]

System Details:

Mode of access : World Wide Web

Contents:

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

Notes:

Bibliography: pages 47.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Coxeter, H. S. M. 1907-2003. Twisted honeycombs,

ISBN:

9781470423643 (online)

Access Restriction:

Restricted for use by site license.