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