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An exact formula for optimal axis-parallel packing of eight squares

Badger, Matthew
arXiv (All) · Papers
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combinatoricsmetric-geometry
We determine the smallest square container for eight axis-parallel squares of prescribed side lengths. The optimal side length is the minimum of the costs of 23 explicit packing strategies, and each cost is a maximum of sums of side lengths. No minimum of fewer convex functions represents it. Three
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