Jones, R. Hughes
(1993)
*Enumerating Uniform Polyhedral Surfaces with Triangular Faces.*
In: 14th British Combinatorial Conference/Annual General Meeting of the Institute-of-Combinatorics-and-Its-Applications, Keele, England.
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Official URL http:dx.doi.org/10.1016/0012-365X(94)00210-A |

## Abstract

The four infinite sets of planes x + y + z = n, -x + y + z = N, x - y + z = n, x + y - z = n, where n=...-3, -2, - 1,0, 1,2, 3,... divide space into tetrahedral and octahedral regions. A subset of the set of triangular faces of these regions may be chosen so that they form a uniform polyhedral surface, i.e. a surface whose vertices are all equivalent under a group of isometries. There are 26 such surfaces of hyperbolic type; these have 7, 8, 9 or 12 triangles around each vertex.

Item Type: | Conference or workshop item (Other) |
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Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |

Depositing User: | P. Ogbuji |

Date Deposited: | 28 May 2009 20:34 |

Last Modified: | 09 Jul 2014 14:27 |

Resource URI: | http://kar.kent.ac.uk/id/eprint/19630 (The current URI for this page, for reference purposes) |

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