The special cuts of 600-cell

Details The special cuts of 600-cell The special cuts of 600-cell

2007-08-25

arxiv.org/abs/0708.3443v2

Mathematics

Metric Geometry

6 pages, 1 figure, 3 tables

Scientific paper

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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