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arxiv: 0804.2682 · v3 · pith:YGO3VHJOnew · submitted 2008-04-16 · 🧮 math.GT

Volume estimates for equiangular hyperbolic Coxeter polyhedra

classification 🧮 math.GT
keywords hyperboliccoxeterequiangularpolyhedronestimatespolyhedravolumeandreev
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An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to \pi/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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