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