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COMBINATORICS
2007

Compact Hyperbolic Coxeter n-Polytopes with n+3 Facets

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Compact Hyperbolic Coxeter n-Polytopes with n+3 Facets
We use methods of combinatorics of polytopes together with geometrical and computational ones to obtain the complete list of compact hyperbolic Coxeter npolytopes with n + 3 facets, 4 ≤ n ≤ 7. Combined with results of Esselmann this gives the classification of all compact hyperbolic Coxeter n-polytopes with n + 3 facets, n ≥ 4. Polytopes in dimensions 2 and 3 were classified by Poincar´e and Andreev.
Pavel Tumarkin
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2007
Where COMBINATORICS
Authors Pavel Tumarkin
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