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

Dimitri Leemans; Michael Ian Hartley

arxiv: math/0307075 · v1 · submitted 2003-07-05 · 🧮 math.GR · math.CO

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

Michael Ian Hartley , Dimitri Leemans This is my paper

classification 🧮 math.GR math.CO

keywords polytopequotientsfacetsfigurestypeuniversalvertexwhose

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

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