On bodies with congruent sections by cones or non-central planes

DOI10.1090/tran/7395zbMath1423.52003OpenAlexW2755149488WikidataQ114093781 ScholiaQ114093781MaRDI QIDQ4691090

Ning Zhang

Publication date: 18 October 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7395

zbMATH Keywords

convex bodystar bodycongruent sectionsunique determination

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (2)

On bodies in \(\mathbb{R}^n\) with congruent sections by cones or non-central planes ⋮ A characterization of centrally symmetric convex bodies in terms of visual cones

Uses Software

• CandS

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
• Introduction to differentiable manifolds.
• Functions on a sphere with vanishing integrals over certain subspheres
• A Lemma of Nakajima and Süss on Convex Bodies

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