On bodies with congruent sections or projections

DOI10.1016/j.jde.2018.04.025zbMath1393.52004arXiv1711.10445OpenAlexW2963191750MaRDI QIDQ1753209

Ning Zhang

Publication date: 28 May 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10445

zbMATH Keywords

convex bodycongruent sectionsunique determination

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

On bodies in \(\mathbb{R}^n\) with congruent sections by cones or non-central planes ⋮ On bodies in \(\mathbb R^5\) with directly congruent projections or sections ⋮ On recognizing shapes of polytopes from their shadows ⋮ Functions with isotropic sections

Cites Work

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• On bodies with directly congruent projections and sections
• On polytopes with congruent projections or sections
• On the continual Rubik's cube
• A Lemma of Nakajima and Süss on Convex Bodies
• On counterexamples in questions of unique determination of convex bodies
• NON‐UNIQUENESS OF CONVEX BODIES WITH PRESCRIBED VOLUMES OF SECTIONS AND PROJECTIONS

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