Stability of the isodiametric problem on the sphere and in the hyperbolic space -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

In this paper, we study the bisections of a centrally symmetric planar convex body which
minimize the maximum relative diameter functional. We give a necessary and a sufficient …

The P\'al inequality is a classical result which asserts that among all planar convex sets of
given width the equilateral triangle is the one of minimal area. In this paper we prove three …

Conway's fried potato problem is an optimization question with the following original
statement [7]: given a convex body C in Rd, which is the division of C into n subsets, by …

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

For a convex body C in Rd and a division of C into convex subsets C1,..., Cn, we can
consider max {F (C1),..., F (Cn)}(respectively, min {F (C1),..., F (Cn)}), where F represents …