Minimizing polyhedra

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Minimizing polyhedra
3D-printables files for Akiyama minimizing polyhedra with 4,5,...,12 vertices

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Shigeki Akiyama

These objects solve the following minimization problem: among all polytopes with given number of vertices and given volume, find the one which has the least surface area.

The pre-print with more details is available here :

https://arxiv.org/abs/1704.03149