Hyperbolic Coxeter Pyramids

John Mcleod

Department of Mathematical Sciences, University of Durham, Durham, England.

DOI: 10.4236/apm.2013.31010                

Abstract

Hyperbolic Coxeter polytopes are defined precisely by combinatorial type. Polytopes in hyperbolic n-space with n + p faces that have the combinatorial type of a pyramid over a product of simplices were classified by Tumarkin for small p. In this article we generalise Tumarkin’s methods and find the remaining hyperbolic Coxeter pyramids.

Keywords

Hyperbolic; Coxeter; Polytope; Pyramid

Conflicts of Interest

The authors declare no conflicts of interest.

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