Minimizing polyhedra

hands-on

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

Licence

Submitted by

Alba Marina Mál...

This hands-on is part of

Credits

  • Concept - equations
Shigeki Akiyama
  • Two small prints in grey and white color
  • The first 3D print ever of Akiyama's minimizing polyhedron with 8 vertices

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 paper with more details is available here :

https://arxiv.org/abs/1704.03149 (preprint)

https://projecteuclid.org/journals/hiroshima-mathematical-journal/volume-51/issue-2/Minimum-polyhedron-with-n-vertices/10.32917/h2018079.full (published paper)

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