An isoperimetric inequality for convex polygons and convex sets with the same symmetrals

DOI10.1007/BF00149270zbMath0579.52007MaRDI QIDQ1067216

Marco Longinetti

Publication date: 1986

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalities for convex polygonsregular concentric polygonsSteiner symmetral

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Polytopes and polyhedra (52Bxx)

Related Items (7)

Steiner symmetrization using a finite set of directions ⋮ Reconstructing plane sets from projections ⋮ Sharp affine stability estimates for Hammer's problem ⋮ Affinely regular polygons as extremals of area functionals ⋮ A countable set of directions is sufficient for Steiner symmetrization ⋮ A maximum property of affinely regular polygons ⋮ EFFICIENT APPROXIMATION OF CONVEX POLYGONS

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