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math.MG2019
Inverse Blaschke-Santaló inequality for convex curves enclosing the origin several times
K. J. Böröczky, E. Makai
H. Guggenheimer generalized the planar volume product problem for locally convex curves enclosing the origin times. He conjectured that the minimal volume product $V(…
math.MG2019★ 1 cited
The isoperimetric problem for -polytopes with six vertices
Károly J. Böröczky, Ágnes Kovács
We prove that the regular octahedron has the minimal surface area among 3-polytopes of given volume and having at most six vertices.