A bound on the ratio between the packing and covering densities of a convex body
A convex body is a compact convex set having a nonempty interior. The author considers packings and coverings with centrally symmetric convex bodies. It is proved that for any such body, the ratio between the density of its thinnest lattice covering of Euclidean 3-space and the density of its tightest lattice packing in Euclidean 3-space is less than or equal to 4.
scientific article; zbMATH DE number 1436016