On the densest packing of polycylinders in any dimension

Wöden Kusner

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Using transversality and a dimension reduction argument, a result of A. Bezdek and W. Kuperberg is applied to polycylinders $\mathbb{D}^2\times \mathbb{R}^n$, showing that the optimal packing density is $\pi/\sqrt{12}$ in any dimension.
Original languageUndefined/Unknown
Pages (from-to)638-641
JournalDiscrete & computational geometry
Volume55
Issue number3
DOIs
Publication statusPublished - 2016

Keywords

  • math.MG
  • math.CO
  • math.NT
  • 52C17, 05B40, 11H31

ASJC Scopus subject areas

  • Geometry and Topology

Treatment code (Nähere Zuordnung)

  • Theoretical

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