Hyperbolic Coxeter Pyramids

DOI: 10.4236/apm.2013.31010   PDF   HTML   XML   5,230 Downloads   6,905 Views   Citations

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 Tumarkins methods and find the remaining hyperbolic Coxeter pyramids.

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J. Mcleod, "Hyperbolic Coxeter Pyramids," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 78-82. doi: 10.4236/apm.2013.31010.

Conflicts of Interest

The authors declare no conflicts of interest.

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