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Unique determination of convex polytopes by non-central sections |
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| Authors: | Vladyslav Yaskin |
| Institution: | (3) Lehrstuhl Diskrete Math., Optim. und OR Inst. Math., Univ. Augsburg, Augsburg, Germany |
| 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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