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The isoperimetric problem for $3$-polytopes with six vertices

Metric Geometry 2019-01-09 v1
Authors: Károly J. Böröczky , Ágnes Kovács
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Abstract

We prove that the regular octahedron has the minimal surface area among 3-polytopes of given volume and having at most six vertices.

Keywords

polytopes minimal surfaces

Cite

@article{arxiv.1901.02160,
  title  = {The isoperimetric problem for $3$-polytopes with six vertices},
  author = {Károly J. Böröczky and Ágnes Kovács},
  journal= {arXiv preprint arXiv:1901.02160},
  year   = {2019}
}

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