600细胞的特殊切割
The special cuts of 600-cell
摘要：
一个多面体称为{ \em regular-faced}，如果它的每一个面都是正则多面体。用G. Blind和R.盲态\cite{BlBl2,roswitha,roswitha2}。最后一类多面体是由去掉600胞元的一组非邻顶点（一个独立集）而得到的多面体构成的。这些独立的集合被枚举到同构，并且确定在最后一类中的多面体的数量是$314,248,344$。
英文摘要：
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 $314,248,344$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
