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The missing (A, D, r) diagram
Alexandre Delyon, Antoine Henrot, Yannick Privat
In this paper we are interested in "optimal" universal geometric inequalities involving the area, diameter and inradius of convex bodies. The term "optimal" is to be understood in…
math.MG2020
Body of constant width with minimal area in a given annulus
Antoine Henrot, Ilaria Lucardesi
In this paper we address the following shape optimization problem: find the planar domain of least area, among the sets with prescribed constant width and inradius. In the literatu…