English

On the densest packing of polycylinders in any dimension

Metric Geometry 2017-09-14 v2 Combinatorics Number Theory

Abstract

Using transversality and a dimension reduction argument, a result of A. Bezdek and W. Kuperberg is applied to polycylinders D2×Rn\mathbb{D}^2\times \mathbb{R}^n, showing that the optimal packing density is π/12\pi/\sqrt{12} in any dimension.

Keywords

Cite

@article{arxiv.1405.0497,
  title  = {On the densest packing of polycylinders in any dimension},
  author = {Wöden Kusner},
  journal= {arXiv preprint arXiv:1405.0497},
  year   = {2017}
}

Comments

Edited to reflect acknowledgements in the published version