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arXiv · 0708.3443

The special cuts of 600-cell

Mathieu Dutour Sikirić·Wendy Myrvold
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Abstract

A polytope is called {\em regular-faced} if every one of its facets is a regular polytope. The 4-dimensional regular-faced polytopes were determined by G. Blind and R. Blind \cite{BlBl2,roswitha,roswitha2}. The last class of such polytopes is the one which consists of polytopes obtained by removing a set of non-adjacent vertices (an independent set) of the 600-cell. These independent sets are enumerated up to isomorphism and it is determined that the number of polytopes in this last class is $314,248,344$.

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Mathieu Dutour Sikirić, Wendy Myrvold. 2007-11-22. The special cuts of 600-cell. https://arxiv.org/abs/0708.3443

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