Beitr\"age zur Algebra und Geometrie
Contributions to Algebra and Geometry
Volume 35 (1994), No. 1, 45-54.

2-fache \"Uberdeckung mit einem zentralsymmetrischen konvexen Bereich

\'Agota H. Temesv\'ari

Abstract.

Let $M$ be a centro-symmetric convex domain.
Denote by \dg{1} the density of the thinnest lattice covering by $M$.
It is shown that the density of the thinnest $2$-fold double-lattice
covering by $M$ is $2$\dg{1}.
If $M$ is strictly convex, the thinnest $2$-fold double-lattice
covering is the union of two thinnest lattice coverings.

MSC 1991: 52C15