The contact polytope of the leech lattice
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Date
2009-03-12MFO Scientific Program
Research in Pairs 2009Series
Oberwolfach Preprints;2009,18Metadata
Show full item recordOWP-2009-18
Abstract
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 many facets in 232 orbits.