By the same authors

3-manifolds from Platonic solids

Research output: Contribution to journalArticle



Publication details

JournalTopology and its Applications
DatePublished - 28 Mar 2004
Issue number1-3
Number of pages11
Pages (from-to)253-263
Original languageEnglish


The problem of classifying, up to isometry, the orientable spherical and hyperbolic 3-manifolds that arise by identifying the faces of a Platonic solid is formulated in the language of Coxeter groups. This allows us to complete the classification begun by Best [Canad. J. Math. 23 (1971) 451], Lorimer [Pacific J. Math. 156 (1992) 329], Richardson and Rubinstein [Hyperbolic manifolds from a regular polyhedron, Preprint]. (C) 2003 Elsevier B.V. All rights reserved.

    Research areas

  • 3-manifolds, Coxeter groups, DISCRETE-SUBGROUPS, SPACES

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