The contact polytope of the Leech lattice (complete version)

Details The contact polytope of the Leech lattice (complete version) The contact polytope of the Leech lattice (complete version)

2009-06-08

arxiv.org/abs/0906.1427v2

Discr. Comp. Geom. 44 (2010), 904-911

Mathematics

Metric Geometry

(v2) 7 pages (part I), 13 pages (part II), 1 figure, 2 tables, part I to appear in Discr. Comp. Geom

Scientific paper

10.1007/s00454-010-9266-z

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.

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