P. V. Tumarkin, “Hyperbolic n-Dimensional Coxeter Poly-topes with n + 3 Facets,” Transactions of the Moscow Mathematical Society, Vol. 58, No. 4, 2004, pp. 235-250.

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.