Abstract
A question of Barker and Larman asks whether convex bodies that contain a sphere of radius t in their interiors are uniquely determined by the volumes of sections by hyperplanes tangent to the sphere. We affirmatively solve this problem for convex polytopes.
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V. Yaskin was partially supported by a grant from NSERC.
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Yaskin, V. Unique determination of convex polytopes by non-central sections. Math. Ann. 349, 647–655 (2011). https://doi.org/10.1007/s00208-010-0538-y
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DOI: https://doi.org/10.1007/s00208-010-0538-y