Jones, R. Hughes
(1993)
*
Enumerating Uniform Polyhedral Surfaces with Triangular Faces.
*
Discrete Mathematics,
138
.
pp. 281-292.
ISSN 0012-365X.
(doi:10.1016/0012-365X(94)00210-A)
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
(KAR id:19630)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication) | |

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: | Article |
---|---|

DOI/Identification number: | 10.1016/0012-365X(94)00210-A |

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |

Depositing User: | P. Ogbuji |

Date Deposited: | 28 May 2009 20:34 UTC |

Last Modified: | 10 Jun 2019 11:05 UTC |

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

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