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Hyperbolic Coxeter Pyramids

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DOI: 10.4236/apm.2013.31010    4,829 Downloads   6,388 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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

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