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arXiv · 0804.2682

Volume estimates for equiangular hyperbolic Coxeter polyhedra

Christopher K. Atkinson
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Abstract

An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to π/n for some fixed integer n at least 2. It is a consequence of Andreev's theorem that either n=3 and the polyhedron has all ideal vertices or that n=2. Volume estimates are given for all equiangular hyperbolic Coxeter polyhedra.

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BibTeXRIS

Christopher K. Atkinson. 2010-03-13. Volume estimates for equiangular hyperbolic Coxeter polyhedra. https://doi.org/10.2140/agt.2009.9.1225

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