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arXiv · 1509.02241

The local optimality of the double lattice packing

Yoav Kallus·Wöden Kusner
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Abstract

This paper introduces a technique for proving the local optimality of packing configurations. Applying this technique to a general convex polygon, we prove that the construction of the optimal double lattice packing by Kuperberg and Kuperberg is also locally optimal in the full space of packings.

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Yoav Kallus, Wöden Kusner. 2015-09-08. The local optimality of the double lattice packing. https://doi.org/10.1007/s00454-016-9792-4

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