3-Manifolds from Platonic Solids
Geometric Topology
2007-06-13 v1 Group Theory
Abstract
The problem of classifying, upto isometry (or similarity), the orientable spherical, Euclidean and hyperbolic 3-manifolds that arise by identifying the faces of a Platonic solid is formulated in the language of Coxeter groups. In the spherical and hyperbolic cases, this allows us to complete the classification begun by Lorimer, Richardson and Rubinstein and Best.
Cite
@article{arxiv.math/0104182,
title = {3-Manifolds from Platonic Solids},
author = {Brent Everitt},
journal= {arXiv preprint arXiv:math/0104182},
year = {2007}
}
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8 pages