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.

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- Review status: reviewed
- Last edited by Kiran S. Kedlaya on 2018-06-26 15:30:19

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- 2018-06-26 15:30:19 by Kiran S. Kedlaya (Reviewed)