Geodesic
Some Lower Bounds for Density of Multiple Packing
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 565-572

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DOI

A system of circles is said to form a k-fold packing of the plane if every point of the plane is an interior point of at most k circles. In this paper we consider only lattice packings, that is, we suppose that the centers of the circles form a lattice. We further restrict our consideration to circles of equal radius. Without loss of generality, the circles may have unit radius. 
Blundon, W.J. Some Lower Bounds for Density of Multiple Packing. Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 565-572. doi: 10.4153/CMB-1964-053-2
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     title = {Some {Lower} {Bounds} for {Density} of {Multiple} {Packing}},
     journal = {Canadian mathematical bulletin},
     pages = {565--572},
     year = {1964},
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     number = {4},
     doi = {10.4153/CMB-1964-053-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-053-2/}
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