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 Cornell University Library
Series arXiv.org e-Print archive
Citation
Dutour Sikiric, M, Schuermann, A, & Vallentin, F. (2009). The contact polytope of the Leech lattice. arXiv.org e-Print archive. Cornell University Library .