On the continual Rubik's cube

DOI10.1016/j.aim.2012.09.010zbMath1260.52003OpenAlexW2166960278MaRDI QIDQ1759382

Dmitri Ryabogin

Publication date: 20 November 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.09.010

zbMATH Keywords

convex bodiesFunk transformstar-shaped bodiestranslates of convex bodies

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (9)

On a functional equation related to a pair of hedgehogs with congruent projections ⋮ On a functional equation related to convex bodies with \(SU(2)\)-congruent projections ⋮ On polytopes with congruent projections or sections ⋮ On bodies in \(\mathbb{R}^n\) with congruent sections by cones or non-central planes ⋮ On bodies with directly congruent projections and sections ⋮ On bodies with congruent sections or projections ⋮ On bodies in \(\mathbb R^5\) with directly congruent projections or sections ⋮ On bodies with congruent sections by cones or non-central planes ⋮ Functions with isotropic sections

Cites Work

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• The Radon transform.
• On unique reconstructibility of convex and visible compact sets from their projections. II
• If you can hide behind it, can you hide inside it?
• ON UNIQUE RECOVERABILITY OF CONVEX AND VISIBLE COMPACTA FROM THEIR PROJECTIONS
• Convex Bodies with Congruent Sections

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