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Quotients of a universal locally projective polytope of type {5, 3, 5}

par Hartley, Michael I.;Leemans, Dimitri
Référence Mathematische Zeitschrift, 247, 4, page (663-674)
Publication Publié, 2004-08

Article révisé par les pairs

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Résumé :

This article examines the universal polytope P(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 P.