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math.MG2013★ 8 cited
Pessimal packing shapes
Yoav Kallus
We address the question of which convex shapes, when packed as densely as possible under certain restrictions, fill the least space and leave the most empty space. In each differen…
math.MG2013
When is the ball a local pessimum for covering?
Yoav Kallus
We consider the problem of identifying the worst point-symmetric shape for covering n-dimensional Euclidean space with lattice translates. Here we focus on the dimensions where the…