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