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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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