Fachbereich 3 Mathematik Finite Packings of Spheres Finite Packings of Spheres
نویسندگان
چکیده
We show that the sausage conjecture of LL aszll o Fejes TT oth on nite sphere pack-ings is true in dimension 42 and above.
منابع مشابه
Densest local sphere-packing diversity. II. Application to three dimensions.
The densest local packings of N three-dimensional identical nonoverlapping spheres within a radius R(min)(N) of a fixed central sphere of the same size are obtained for selected values of N up to N=1054. In the predecessor to this paper [A. B. Hopkins, F. H. Stillinger, and S. Torquato, Phys. Rev. E 81, 041305 (2010)], we described our method for finding the putative densest packings of N spher...
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We show that the sausage conjecture of László Fejes Tóth on finite sphere packings is true in dimension 42 and above.
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