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

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

2003-07-05

arxiv.org/abs/math/0307075v1

Mathematics

Group Theory

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

Scientific paper

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 $\CP$.

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