This article is cited in 20 papers

Hyperbolic Coxeter $N$-Polytopes with $n+2$ Facets

P. V. Tumarkin

Independent University of Moscow

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.

UDC: 512.817.72

Received: 15.01.2003

DOI: 10.4213/mzm80

 English version: Mathematical Notes, 2004, 75:6, 848–854

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