On the densest packing of polycylinders in any dimension

Wöden Kusner

doi:10.1007/s00454-016-9766-6

On the densest packing of polycylinders in any dimension

Wöden Kusner

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-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 language	Undefined/Unknown
Pages (from-to)	638-641
Journal	Discrete & Computational Geometry
Volume	55
Issue number	3
DOIs	https://doi.org/10.1007/s00454-016-9766-6
Publication status	Published - 2016

Keywords

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

ASJC Scopus subject areas

Geometry and Topology

Treatment code (Nähere Zuordnung)

Theoretical

Access to Document

10.1007/s00454-016-9766-6

Cite this

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