Browsing 2009 by Subject "Conway groups"
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The contact polytope of the leech lattice
[OWP-2009-18] (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 ...