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math.OC2026
Shape optimization with inradius constraint and emergence of honeycomb structures
Dorin Bucur, Giuseppe Buttazzo, Alexis de Villeroché
We maximize the average torsional rigidity among open subsets of with fixed inradius whose complements consist of pairwise disjoint balls of fixed radius $\varepsilo…
math.OC2026
Symmetry breaking in the polygonal Szegö-Weinberger inequality as : the longest shortest-fence quadrilateral
Beniamin Bogosel, Dorin Bucur, Ilaria Fragalà
We consider Pólya's problem of finding, among convex sets of prescribed area, the one with the longest shortest fence, in the polygonal setting, namely when the class of competitor…