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

Samuel Reid
2016 arXiv   pre-print
We algorithmically characterize the maximal contact number problem for finite congruent lattice sphere packings in R^d and show that in R^3 this problem is equivalent to determining the maximal coordination of a monatomic crystal.
arXiv:1602.04246v1 fatcat:tsjw3xqwardpnmvkqm3g2p5hqq