On Contact Numbers of Finite Lattice Sphere Packings and the Maximal Coordination of Monatomic Crystals

2016/02/06 by Reid, Samuel
#74E15 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1602.04246

Abstract

We algorithmically characterize the maximal contact number problem for finite congruent lattice sphere packings in ℝ^d and show that in ℝ³ this problem is equivalent to determining the maximal coordination of a monatomic crystal.

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