# Pessimal packing shapes

@article{Kallus2015PessimalPS, title={Pessimal packing shapes}, author={Yoav Kallus}, journal={Geometry & Topology}, year={2015}, volume={19}, pages={343-363} }

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 different dimension and under each different set of restrictions, this question is expected to have a different answer or perhaps no answer at all. As the problem of identifying global minima in most cases appears to be beyond current reach, in this paper we focus on local minima. We review some known results and prove these… CONTINUE READING

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