%0 Journal Article
%T The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices
%A Mathieu Dutour Sikiri£¿
%A Alexey Garber
%A Achill Sch¨¹rmann
%A Clara Waldmann
%J Mathematics
%D 2015
%I arXiv
%X In this short note we report on the full classification of Dirichlet-Voronoi polyhedra and Delone subdivisions of five-dimensional translational lattices. We obtain a complete list of $110244$ affine types (L-types) of Delone subdivisions and it turns out that they are all combinatorially inequivalent. Therefore we find the same number of combinatorial types of Dirichlet-Voronoi polyhedra of translational lattices.
%U http://arxiv.org/abs/1507.00238v1