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arXiv · 1112.3976

Non-uniqueness of convex bodies with prescribed volumes of sections and projections

Fedor Nazarov·Dmitry Ryabogin·Artem Zvavitch
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Abstract

We show that if $d\ge 4$ is even, then one can find two essentially different convex bodies such that the volumes of their maximal sections, central sections, and projections coincide for all directions.

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Fedor Nazarov, Dmitry Ryabogin, Artem Zvavitch. 2011-12-16. Non-uniqueness of convex bodies with prescribed volumes of sections and projections. https://doi.org/10.1112/s0025579312001027

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