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Hyperbolic Coxeter N-Polytopes with n+2 Facets

Mathematical Notes volume 75, pages 848–854 (2004)Cite this article

Abstract

In this paper, we classify all the hyperbolic noncompact Coxeter polytopes of finite volume whose combinatorial type is either that of a pyramid over a product of two simplices or a product of two simplices of dimension greater than one. Combined with the results of Kaplinskaja (1974) and Esselmann (1996), this completes the classification of hyperbolic Coxeter N-polytopes of finite volume with n+2 facets.

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Authors and Affiliations

  1. Independent Moscow University, Russia

    P. V. Tumarkin

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  1. P. V. Tumarkin
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Tumarkin, P.V. Hyperbolic Coxeter N-Polytopes with n+2 Facets. Mathematical Notes 75, 848–854 (2004). https://doi.org/10.1023/B:MATN.0000030993.74338.dd

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