Relaxed Disk Packing
classification
💻 cs.CG
keywords
configurationsdiskbiologicalcoverdisksequal-sizedeuclideanexactly
read the original 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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