Compact hyperbolic Coxeter n-polytopes with n+3 facets
Metric Geometry
2007-12-06 v4 Group Theory
Abstract
We use methods of combinatorics of polytopes together with geometrical and computational ones to obtain the complete list of compact hyperbolic Coxeter n-polytopes with n+3 facets, 3<n<8. Combined with results of Esselmann (1994), Andreev (1970) and Poincare (1882) this gives the classification of all compact hyperbolic Coxeter n-polytopes with n+3 facets.
Keywords
Cite
@article{arxiv.math/0406226,
title = {Compact hyperbolic Coxeter n-polytopes with n+3 facets},
author = {Pavel Tumarkin},
journal= {arXiv preprint arXiv:math/0406226},
year = {2007}
}
Comments
v4: paper is rewritten. Complete proofs added, errors corrected. 36 pages, a lot of figures