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math.MG2015★ 20 cited
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices
Mathieu Dutour Sikirić, Alexey Garber, Achill Schürmann +1
In this paper we report on the full classification of Dirichlet-Voronoi polyhedra and Delaunay subdivisions of five-dimensional translational lattices. We obtain a complete list of…
math.MG2009★ 11 cited
The contact polytope of the Leech lattice (complete version)
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we classify the facets of the contact polytope of the Leech lattice up to symmetry. Ther…