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Relaxed Disk Packing

Published 13 May 2015 in cs.CG | (1505.03402v1)

Abstract: Motivated by biological questions, we study configurations of equal-sized disks in the Euclidean plane that neither pack nor cover. Measuring the quality by the probability that a random point lies in exactly one disk, we show that the regular hexagonal grid gives the maximum among lattice configurations.

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