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On the thinnest 2-fold double-lattice covering with a centrally symmetric convex domain. (Über die dünnste doppelgitterförmige 2-fache Überdeckung mit einem zentralsymmetrischen konvexen Bereich.) (German) Zbl 0806.52017
Summary: Let $$M$$ be a centrally-symmetric convex domain. Denote by $$D_{1,\Gamma}(M)$$ 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 $$2D_{1,\Gamma}(M)$$. If $$M$$ is strictly convex, then the thinnest 2-fold double-lattice covering is the union of two thinnest lattice coverings.
##### MSC:
 52C15 Packing and covering in $$2$$ dimensions (aspects of discrete geometry)
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