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arXiv · 1405.0497

On the densest packing of polycylinders in any dimension

Wöden Kusner
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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 $π/\sqrt{12}$ in any dimension.

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Wöden Kusner. 2017-06-28. On the densest packing of polycylinders in any dimension. https://doi.org/10.1007/s00454-016-9766-6

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