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arxiv: 1509.02241 · v1 · pith:JLGORULTnew · submitted 2015-09-08 · 🧮 math.MG

The local optimality of the double lattice packing

classification 🧮 math.MG
keywords packingdoublekuperberglatticelocaloptimaloptimalitytechnique
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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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