P. V. Tumarkin, “Hyperbolic Coxeter Polytopes in H^m with n + 2 Hyperfacets,” Mathematical Notes, Vol. 75, No. 5-6, 2004, pp. 848-854. doi:10.1023/B:MATN.0000030993.74338.dd

has been cited by the following article:

• TITLE: Hyperbolic Coxeter Pyramids

  AUTHORS: John Mcleod

  KEYWORDS: Hyperbolic; Coxeter; Polytope; Pyramid

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.1, January 29, 2013

  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.