Browsing by Author "Schürmann, Achill"
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The contact polytope of the leech lattice
[OWP-2009-18] Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-12)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. There are 1, 197, 362, 269, 604, 214, 277, 200 ...