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math.MG2019
A note on the extremal noncentral sections of the cross-polytope
Ruoyuan Liu, Tomasz Tkocz
We find minimal and maximal length of intersections of lines at a fixed distance to the origin with the cross-polytope. We also find maximal volume noncentral sections of the cross…
math.MG2018
On a convexity property of sections of the cross-polytope
Piotr Nayar, Tomasz Tkocz
We establish the log-concavity of the volume of central sections of dilations of the cross-polytope (the strong B-inequality for the cross-polytope and Lebesgue measure restricted…