show · lattice.density all knowls · up · search:

The density of an $n\times n$ integral lattice is the density of the lattice-centered sphere packing in $\mathbb R^n$.

The lattice packing problem of dimension $n$ is to find the lattices which maximize the density. In general, these may not be solutions of the sphere packing problem, which asks for the maximum density of a sphere packing in which the centers of the spheres need not form an integral lattice.

Knowl status:
  • Review status: reviewed
  • Last edited by Kiran S. Kedlaya on 2018-06-26 15:30:19
Referred to by:
History: (expand/hide all)