The local optimality of the double lattice packing

Yoav Kallus, Wöden Kusner

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)449 - 471
JournalDiscrete & Computational Geometry
Issue number2
Publication statusPublished - 2016


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

ASJC Scopus subject areas

  • Mathematics(all)
  • Geometry and Topology

Treatment code (Nähere Zuordnung)

  • Theoretical

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