The six-dimensional Delaunay polytopes
Dutour, M.
Original · EN
Given a lattice L, a full dimensional polytope P is called a Delaunay polytope if the set of its vertices is S∩ L with S being an empty sphere of the lattice. Extending our previous work DD-hyp on the hypermetric cone HYP₇, we classify the six-dimensional Delaunay polytopes according to their combinatorial type. The list of 6241 combinatorial types is obtained by a study of the set of faces of the polyhedral cone HYP₇.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.