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原文連結
論文資訊
- 類型：已發表論文
- 日期：2012-01-25
摘要
The densest packings of N unit squares in a torus are studied using analytical methods as well as simulated annealing. A rich array of dense packing solutions are found: density-one packings when N is the sum of two square integers; a family of 'gapped bricklayer' Bravais lattice solutions with density N/(N + 1); and some surprising non-Bravais lattice configurations, including lattices of holes as well as a configuration for N = 23 in which not all squares share the same orientation. The 熵 of some of these configurations and the frequency and orientation of density-one solutions as N -> infinity are discussed.
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