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- W2078506869 abstract "An abstract polytope is called regular if its automorphism group has a single orbit on flags (maximal chains). In this paper, the regular n-polytopes with the smallest number of flags are found, for every rank n>1. With a few small exceptions, the smallest regular n-polytopes come from a family of ‘tight’ polytopes with 2⋅4n−1 flags, one for each n, with Schläfli symbol {4∣4∣⋯∣4}. Also with few exceptions, these have both the smallest number of elements, and the smallest number of edges in their Hasse diagram." @default.
- W2078506869 created "2016-06-24" @default.
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- W2078506869 date "2013-03-01" @default.
- W2078506869 modified "2023-09-27" @default.
- W2078506869 title "The smallest regular polytopes of given rank" @default.
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- W2078506869 doi "https://doi.org/10.1016/j.aim.2012.12.015" @default.
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