Volume estimates for equiangular hyperbolic Coxeter polyhedra

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.

27 pages, 11 figures; corrected typo in Theorem 2.4

References in corpus (1)

• Organizing Volumes of Right-Angled Hyperbolic Polyhedra

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