Volume estimates for equiangular hyperbolic Coxeter polyhedra

Christopher K. Atkinson

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to π/ n for some fixed n in Z, n ≥ 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.

Original languageEnglish (US)
Pages (from-to)1225-1254
Number of pages30
JournalAlgebraic and Geometric Topology
Issue number2
StatePublished - 2009
Externally publishedYes


  • 3-orbifolds
  • Coxeter polyhedra
  • Hyperbolic geometry


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