Geodesic
Thinnest Packing of Cubes with a Given Number of Neighbours
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 501-507

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As a contribution to various investigations [1-11] about packing of convex bodies with certain conditions imposed on the number of neighbours of each body, V. Chvátal [12] recently proved the following theorem: If in a packing of translates of a square each square has at least six neighbours then the density of the packing is at least 11/15. 
Tóth, L. Fejes; Sauer, N. Thinnest Packing of Cubes with a Given Number of Neighbours. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 501-507. doi: 10.4153/CMB-1977-075-0
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     title = {Thinnest {Packing} of {Cubes} with a {Given} {Number} of {Neighbours}},
     journal = {Canadian mathematical bulletin},
     pages = {501--507},
     year = {1977},
     volume = {20},
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     doi = {10.4153/CMB-1977-075-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-075-0/}
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