A maximum property of affinely regular polygons

DOI10.1007/BF02844537zbMath0613.52001MaRDI QIDQ1819372

Marco Longinetti

Publication date: 1985

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

polygonHammer's X-ray problemSteiner symmetrizationaffine regular

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) 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 (2)

Sharp affine stability estimates for Hammer's problem ⋮ Affinely regular polygons as extremals of area functionals

Cites Work

• Symmetrals and X-rays of planar convex bodies
• An isoperimetric inequality for convex polygons and convex sets with the same symmetrals
• Unnamed Item

This page was built for publication: A maximum property of affinely regular polygons