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The special cuts of 600-cell

Authors
  • Sikirić, Mathieu Dutour
  • Myrvold, Wendy
Type
Preprint
Publication Date
Nov 22, 2007
Submission Date
Aug 25, 2007
Source
arXiv
License
Unknown
External links

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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