Abstract
We will prove that an origin-symmetric star-convex body K with sufficiently smooth boundary and such that every hyperplane section of K passing through the origin is a body of affine revolution, is itself a body of affine revolution. This will give a positive answer to the recent question asked by Bor, Hernández-Lamoneda, Jiménez de Santiago, and Montejano-Peimbert, though with slightly different prerequisites.
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