# 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 language Undefined/Unknown 638-641 Discrete & computational geometry 55 3 https://doi.org/10.1007/s00454-016-9766-6 Published - 2016

### Keywords

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

### ASJC Scopus subject areas

• Geometry and Topology

• Theoretical

### Cite this

On the densest packing of polycylinders in any dimension. / Kusner, Wöden.

In: Discrete & computational geometry, Vol. 55, No. 3, 2016, p. 638-641.

Research output: Contribution to journalArticleResearchpeer-review

Kusner, Wöden. / On the densest packing of polycylinders in any dimension. In: Discrete & computational geometry. 2016 ; Vol. 55, No. 3. pp. 638-641.
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