Optimal divisions of a convex body

Antonio Cañete, Isabel Fernández, Alberto Márquez

For a convex body $C$ in ${\mathbb{R}}^d$ and a division of $C$ into convex subsets $C_1,\dots ,C_n$, we can consider $max\{F(C_1),\dots ,F(C_n)\}$ (respectively, $min\{F(C_1),\ldot…