On the Optimality of the Fcc Lattice for Soft Sphere Packing∗
نویسندگان
چکیده
Motivated by biological questions, we study configurations of equal spheres that neither pack nor 3 cover. Placing their centers on a lattice, we define the soft density of the configuration by penalizing multiple 4 overlaps. Considering the 1-parameter family of diagonally distorted 3-dimensional integer lattices, we show that 5 the soft density is maximized at the FCC lattice. 6
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تاریخ انتشار 2017