Extensions of dually bipartite regular polytopes |
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Authors: | Daniel Pellicer |
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Institution: | Universidad Nacional Autónoma de México, Mexico, DF 04510, Mexico |
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Abstract: | This paper addresses the problem of finding abstract regular polytopes with preassigned facets and preassigned last entry of the Schläfli symbol. Using C-group permutation representation (CPR) graphs we give a solution to this problem for dually bipartite regular polytopes when the last entry of the Schläfli symbol is even. This construction is related to a previous construction by Schulte that solves the problem when the entry of the Schläfli symbol is 6. |
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Keywords: | Abstract regular polytope Extensions of polytope Dually bipartite CPR graph |
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