The local optimality of the double lattice packing

Yoav Kallus, Wöden Kusner

Research output: Contribution to journalArticleResearchpeer-review

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.
Original languageUndefined/Unknown
JournalDiscrete & computational geometry
Publication statusPublished - 2016

Keywords

  • math.MG
  • 52C15 52C17 11H31 52B55 05B40

ASJC Scopus subject areas

  • Mathematics(all)
  • Geometry and Topology

Treatment code (Nähere Zuordnung)

  • Theoretical

Cite this

The local optimality of the double lattice packing. / Kallus, Yoav; Kusner, Wöden.

In: Discrete & computational geometry, 2016.

Research output: Contribution to journalArticleResearchpeer-review

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