Compact hyperbolic Coxeter n-polytopes with n+3 facets

Details Compact hyperbolic Coxeter n-polytopes with n+3 facets Compact hyperbolic Coxeter n-polytopes with n+3 facets

2004-06-11

arxiv.org/abs/math/0406226v4

Electron. J. Combin. 14 (2007), R69

Mathematics

Metric Geometry

v4: paper is rewritten. Complete proofs added, errors corrected. 36 pages, a lot of figures

Scientific paper

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, 3Andreev (1970) and Poincare (1882) this gives the classification of all compact
hyperbolic Coxeter n-polytopes with n+3 facets.

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