Quotients of a Universal Locally Projective Polytope of type 5,3,5
Abstract
This article examines the universal polytope (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 .
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