The six-dimensional Delaunay polytopes
度量几何
2007-05-23 v1 组合数学
摘要
Given a lattice , a full dimensional polytope is called a {\em Delaunay polytope} if the set of its vertices is with being an {\em empty sphere} of the lattice. Extending our previous work \cite{DD-hyp} on the {\em hypermetric cone} , we classify the six-dimensional Delaunay polytopes according to their {\em combinatorial type}. The list of 6241 combinatorial types is obtained by a study of the set of faces of the polyhedral cone .
引用
@article{arxiv.math/0212353,
title = {The six-dimensional Delaunay polytopes},
author = {M. Dutour},
journal= {arXiv preprint arXiv:math/0212353},
year = {2007}
}
备注
14 pages, no figure