Geodesic
Five Dimensional Non-Lattice Sphere Packings
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 387-393

Voir la notice de l'article provenant de la source Cambridge University Press

The densest lattice packings of spheres in Euclidean spaces En of n dimensions are known for n ≤ 8 (for full n — references see [6]). However, it i s not known for any n ≥ 3 whether there can be any non-lattice sphere packing with density exceeding that of the corresponding densest lattice packing. 
Leech, John. Five Dimensional Non-Lattice Sphere Packings. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 387-393. doi: 10.4153/CMB-1967-037-5
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[4] 4. Leech, J., Some sphere packings in higher space. Can. J. Math. 16 (1966), 657-682. Google Scholar

[5] 5. Melmore, S., Densest packing of equal spheres. Nature 159 (1944), 817. Google Scholar

[6] 6. Rogers, C. A., Packing and Covering. Cambridge, 1964. Google Scholar

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