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math.MG2015★ 6 cited
The local optimality of the double lattice packing
Yoav Kallus, Wöden Kusner
This paper introduces a technique for proving the local optimality of packing configurations. Applying this technique to a general convex polygon, we prove that the construction of…
math.MG2014
On the densest packing of polycylinders in any dimension
Wöden Kusner
Using transversality and a dimension reduction argument, a result of A. Bezdek and W. Kuperberg is applied to polycylinders , showing that the opti…
math.MG2013★ 4 cited
Upper bounds on packing density for circular cylinders with high aspect ratio
Wöden Kusner
In the early 1990s, A. Bezdek and W. Kuperberg used a relatively simple argument to show a surprising result: The maximum packing density of circular cylinders of infinite length i…