The six-dimensional Delaunay polytopes

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dc.creatorDutour, M.
dc.date2002-12-27
dc.date.accessioned2026-07-07T04:54:05Z
dc.date.available2026-07-07T04:54:05Z
dc.descriptionGiven a lattice $L$, a full dimensional polytope $P$ is called a {\em Delaunay polytope} if the set of its vertices is $S\cap L$ with $S$ being an {\em empty sphere} of the lattice. Extending our previous work \cite{DD-hyp} on the {\em hypermetric cone} $HYP_7$, 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 $HYP_7$.
dc.description14 pages, no figure
dc.identifierhttps://arxiv.org/abs/math/0212353
dc.identifierhttp://arxiv.org/abs/math/0212353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66106
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.titleThe six-dimensional Delaunay polytopes
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