Everitt, B. (2003) 3-Manifolds from Platonic Solids. Topology and its Applications, 138 (1-3). pp. 253-263. ISSN 0166-8641
Abstract
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].
Metadata
| Authors/Creators: |
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| Keywords: | 3-manifolds; Coxeter groups |
| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 14 May 2009 13:03 |
| Last Modified: | 14 May 2009 13:03 |
| Published Version: | http://dx.doi.org/1016/j.topol.2003.08.025 |
| Status: | Published |
| Publisher: | Elsevier Science B.V., Amsterdam. |
| Refereed: | Yes |
| Identification Number: | https://doi.org/10.1016/j.topol.2003.08.025 |
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