2024-01-242024-01-242023Cañete Martín, A.J., Fernández Delgado, I. y Márquez Pérez, A. (2023). Optimal Divisions of a Convex Body. Mathematical Inequalities & Applications, 26 (2), 315-342. https://doi.org/10.7153/mia-2023-26-21.1331-43431848-9966 (online)https://hdl.handle.net/11441/153903For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, min{F(C1),...,F(Cn)}), where F represents one of these classical geometric magnitudes: the diameter, the minimal width, or the inradius. In this work we study the divisions of C minimizing (respectively, maximizing) the previous value, as well as other related questions.application/pdf28engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Convex bodyOptimal divisionDiameterMinimal widthInradius.info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.7153/mia-2023-26-21