On the densest packing of polycylinders in any dimension
classification
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math.COmath.NT
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dimensionmathbbpackingpolycylindersappliedargumentbezdekdensest
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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.
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