The equilateral small octagon of maximal width

DOI10.1090/mcom/3733zbMath1496.52010arXiv2110.00036OpenAlexW4210375847MaRDI QIDQ5082045

Christian Bingane, Charles Audet

Publication date: 15 June 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.00036

zbMATH Keywords

convex geometryisodiametric problemmaximal widthequilateral polygons

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items

Tight bounds on the maximal perimeter of convex equilateral small polygons, Tight bounds on the maximal area of small polygons: improved Mossinghoff polygons

Uses Software

• GitHub

Cites Work

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• Isoperimetric polygons of maximum width
• Most Reinhardt polygons are sporadic
• The minimum diameter octagon with unit-length sides: Vincze's wife's octagon is suboptimal
• Sporadic Reinhardt polygons
• The small octagons of maximal width
• On convex polygons of maximal width
• Branching and bounds tighteningtechniques for non-convex MINLP
• Tight bounds on the maximal area of small polygons: improved Mossinghoff polygons