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20172022
most citedAn analog of polynomially integrable bodies in even-dimensional spaces

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math.CA2021

A negative answer to Ulam's Problem 19 from the Scottish Book

Dmitry Ryabogin

We give a negative answer to Ulam's Problem 19 from the Scottish Book asking {\it is a solid of uniform density which will float in water in every position a sphere?} Assuming that…

math.CA2017

Fine approximation of convex bodies by polytopes

Márton Naszódi, Fedor Nazarov, Dmitry Ryabogin

We prove that for every convex body with the center of mass at the origin and every , there exists a convex polytope with at most…