Geodesic
On the Densest Packing of Spheres in a Cube
Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 265-270

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How many spheres of given diameter can be packed in a cube of given size? Or: What is the maximum diameter of k identical spheres if they can be packed in a cube of given size? These questions are obviously equivalent to the following problem:Let d(Pi, Pj) denote the distance between the points Pi and Pj, and Γk the set of all configurations of k points Pi (1 ≤ i < j ≤ k) in a closed unit cube C. 
Schaer, J. On the Densest Packing of Spheres in a Cube. Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 265-270. doi: 10.4153/CMB-1966-033-0
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     title = {On the {Densest} {Packing} of {Spheres} in a {Cube}},
     journal = {Canadian mathematical bulletin},
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     year = {1966},
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     number = {3},
     doi = {10.4153/CMB-1966-033-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-033-0/}
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