The contact polytope of the leech lattice

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Date
2009-03-12
MFO Scientific Program
Research in Pairs 2009
Series
Oberwolfach Preprints;2009,18
Author
Dutour Sikirić, Mathieu
Schürmann, Achill
Vallentin, Frank
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OWP-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.
DOI
10.14760/OWP-2009-18
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