Unique determination of convex polytopes by non-central sections

DOI10.1007/s00208-010-0538-yzbMath1220.52002OpenAlexW1976319098MaRDI QIDQ623325

Vladyslav Yaskin

Publication date: 14 February 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0538-y

zbMATH Keywords

hyperplanepolytopeconvex bodysectiongeometric tomography

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Maximal perimeters of polytope sections and origin-symmetry ⋮ Non-central sections of convex bodies ⋮ Unique local determination of convex bodies ⋮ Barker-Larman problem for convex polygons in the hyperbolic plane ⋮ On some characterizations of convex polyhedra ⋮ Thick sections of convex bodies

Cites Work

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• The determination of convex bodies from derivatives of section functions
• Symmetrals and X-rays of planar convex bodies
• Stable determination of convex bodies from sections
• Determination of convex bodies from Γ-section functions
• Determination of convex bodies by certain sets of sectional volumes

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