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

arxiv: 1901.02160 · v1 · pith:BMM54DXInew · submitted 2019-01-08 · 🧮 math.MG

The isoperimetric problem for 3-polytopes with six vertices

K\'aroly J. B\"or\"oczky , \'Agnes Kov\'acs This is my paper

classification 🧮 math.MG

keywords polytopesverticesareagivenhavingisoperimetricminimaloctahedron

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

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