Minimal covers of the prisms and antiprisms |
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| Authors: | Michael I Hartley Daniel Pellicer Gordon Williams |
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| Institution: | 1. DownUnder GeoSolutions, 80 Churchill Ave, Subiaco, 6008, Western Australia, Australia;2. Instituto De Matematicas, Unidad Moreli, Antigua Carretera a Patzcuaro 8701, Col. Ex Hacienda de San Jose de la Huerta, 58089, Morelia, Michoacan, Mexico;3. Department of Mathematics and Statistics, University of Alaska Fairbanks, PO Box 756660, Fairbanks AK 99775-6660, United States |
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| Abstract: | This paper contains a classification of the regular minimal abstract polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed discussion of their topological structure, and completes the enumeration of such covers for convex uniform polyhedra. Additionally, this paper addresses related structural questions in the theory of string C-groups. |
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