Non-uniqueness of convex bodies with prescribed volumes of sections and projections
classification
🧮 math.CA
math.FAmath.MG
keywords
sectionsbodiesconvexprojectionsvolumescentralcoincidedifferent
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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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