Abstract Regular Polytopes, Volume 92

Front Cover
Cambridge University Press, Dec 12, 2002 - Mathematics - 551 pages
0 Reviews
Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book should be of interest to researchers and graduate students in discrete geometry, combinatorics and group theory.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

II
1
III
7
IV
15
V
17
VI
21
VII
22
VIII
31
IX
39
L
255
LI
259
LII
264
LIII
272
LIV
289
LV
290
LVI
298
LVII
305

X
42
XI
49
XII
60
XIII
64
XV
71
XVI
76
XVII
78
XVIII
83
XIX
95
XX
96
XXI
101
XXII
103
XXIII
106
XXIV
109
XXV
115
XXVI
121
XXVIII
127
XXIX
140
XXX
148
XXXII
152
XXXIII
162
XXXIV
165
XXXV
170
XXXVI
172
XXXVII
175
XXXVIII
177
XXXIX
178
XL
183
XLII
192
XLIII
201
XLIV
206
XLV
217
XLVI
236
XLVII
244
XLIX
247
LVIII
320
LIX
332
LX
347
LXI
355
LXII
360
LXIII
363
LXIV
369
LXV
378
LXVI
383
LXVII
387
LXVIII
392
LXIX
400
LXX
410
LXXI
417
LXXII
423
LXXIII
431
LXXIV
437
LXXV
445
LXXVI
450
LXXVII
459
LXXVIII
462
LXXIX
465
LXXX
471
LXXXI
478
LXXXII
484
LXXXIII
490
LXXXIV
500
LXXXV
502
LXXXVI
509
LXXXVII
519
LXXXVIII
539
LXXXIX
543
XC
544
Copyright

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information