Quotients of a Universal Locally Projective Polytope of type {5,3,5}

Michael Ian Hartley; Dimitri Leemans

Quotients of a Universal Locally Projective Polytope of type {5,3,5}

Group Theory 2007-05-23 v1 Combinatorics

Authors: Michael Ian Hartley , Dimitri Leemans

Abstract

This article examines the universal polytope $\CP$ (of type $\{5,3,5\}$ ) whose facets are dodecahedra, and whose vertex figures are hemi-icosahedra. The polytope is proven to be finite, and the structure of its group is identified. This information is used to classifiy the quotients of the polytope. A total of 145 quotients are found, including 69 section regular polytopes with the same facets and vertex figures as $\CP$ .

Keywords

universal polytope type {5,3,5} dodecahedron hemi-icosahedron quotients section regular polytopes

Cite

@article{arxiv.math/0307075,
  title  = {Quotients of a Universal Locally Projective Polytope of type {5,3,5}},
  author = {Michael Ian Hartley and Dimitri Leemans},
  journal= {arXiv preprint arXiv:math/0307075},
  year   = {2007}
}

Comments

15 pages, 5 tables, supported in part by the Belgian National Fund for Scientific Research

Quotients of a Universal Locally Projective Polytope of type {5,3,5}

Abstract

Keywords

Cite

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