The special cuts of 600-cell
Metric Geometry
2011-11-10 v2
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 .
Keywords
Cite
@article{arxiv.0708.3443,
title = {The special cuts of 600-cell},
author = {Mathieu Dutour Sikirić and Wendy Myrvold},
journal= {arXiv preprint arXiv:0708.3443},
year = {2011}
}
Comments
6 pages, 1 figure, 3 tables