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On the Densest Packing of Polycylinders in Any Dimension
Discrete & Computational Geometry ( IF 0.6 ) Pub Date : 2016-03-01 , DOI: 10.1007/s00454-016-9766-6
Wöden Kusner 1
Affiliation  

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

中文翻译:

任意维度多圆柱体的最密堆积

使用横向和降维参数,将 Bezdek 和 Kuperberg 的结果应用于多圆柱体,表明 $$\mathbb {D}^2\times \mathbb {R}^n$$D2×Rn 的最佳堆积密度等于$$\pi /\sqrt{12}$$π/12 对于所有自然数 n。
更新日期:2016-03-01
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