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.
Additional Metadata
Keywords Leech lattice, contact polytope, Conway groups, Voronoi cell
THEME Logistics (theme 3)
Publisher Springer
Journal Discrete and Computational Geometry
Project Spinoza prijs Lex Schrijver
Citation
Dutour Sikiric, M, Schuermann, A, & Vallentin, F. (2010). The contact polytope of the Leech lattice. Discrete and Computational Geometry, 44(4), 904–911.