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.