On critical sets of convex polyhedra

DOI10.1007/BF01229330zbMath0554.52004OpenAlexW2020139986MaRDI QIDQ760010

W. Szwiec, Zyta Dziechcińska-Halamoda

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229330

zbMATH Keywords

critical pointconvex polyhedroncritical setfacetconnected manifoldmeasure of symmetrycarrier plane

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polytopes and polyhedra (52Bxx)

Related Items

Sur l'ensemble critique d'un ensemble convexe. (On the critical set of a convex set) ⋮ Mixed volumes and measures of asymmetry ⋮ Affine diameters of convex bodies -- a survey ⋮ Electrostatic capacity and measure of asymmetry

Cites Work

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• Über eine Affininvariante von Eibereichen
• On Some Affine Invariants of Closed Convex Regions
• The Centroid of a Convex Body
• Convex Bodies Associated with a Convex Body
• The Critical Set of a Convex Body

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