Convex geometry is a vibrant area of mathematics that investigates the properties and structure of convex sets in Euclidean spaces. This field is intrinsically linked to a series of fundamental ...
In this article we prove two characterizations of the Euclidean ball: (i) the only convex body in ℝ³ such that every normal plane bisects the volume (or surface area) is the Euclidean ball, (ii) the ...
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