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

dc.creatorHartley, Michael Ian
dc.creatorLeemans, Dimitri
dc.date2003-07-05
dc.date.accessioned2026-07-07T04:59:27Z
dc.date.available2026-07-07T04:59:27Z
dc.descriptionThis 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 $\CP$.
dc.description15 pages, 5 tables, supported in part by the Belgian National Fund for Scientific Research
dc.identifierhttps://arxiv.org/abs/math/0307075
dc.identifierhttp://arxiv.org/abs/math/0307075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67988
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subject51M20; 20F65; 52B15
dc.titleQuotients of a Universal Locally Projective Polytope of type {5,3,5}
dc.typetext

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