Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios

DOI10.4007/annals.2021.194.2.3zbMath1472.51011arXiv1911.07336OpenAlexW3193744306MaRDI QIDQ1983098

Cole Hugelmeyer

Publication date: 15 September 2021

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07336

zbMATH Keywords

aspect ratioJordan curveinscribed rectangles

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Ordered geometries (ordered incidence structures, etc.) (51G05) Euclidean geometries (general) and generalizations (51M05)

Related Items (6)

Families of similar simplices inscribed in most smoothly embedded spheres ⋮ Cyclic quadrilaterals and smooth Jordan curves ⋮ MATRIX-MFO tandem workshop: Invariants and structures in low-dimensional topology. Abstracts from the MATRIX-MFO tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ The rectangular peg problem ⋮ Configuration spaces, multijet transversality, and the square-peg problem ⋮ Rectangles, curves, and Klein bottles

Cites Work

• A Survey on the Square Peg Problem
• On products of sets in a locally compact group
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