On Contact Numbers of Finite Lattice Sphere Packings and the Maximal Coordination of Monatomic Crystals
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🧮 math.MG
keywords
maximalcontactcoordinationfinitelatticemathbbmonatomicpackings
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We algorithmically characterize the maximal contact number problem for finite congruent lattice sphere packings in $\mathbb{R}^d$ and show that in $\mathbb{R}^3$ this problem is equivalent to determining the maximal coordination of a monatomic crystal.
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