Quadrilaterals inscribed in convex curves

DOI10.1090/tran/8359zbMath1472.53007arXiv1801.01945OpenAlexW3111834891MaRDI QIDQ5004550

Benjamin Matschke

Publication date: 2 August 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01945

zbMATH Keywords

convex Jordan curvesisosceles trapezoidssquare peg probleminscribed square problem

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Fixed points and coincidences in algebraic topology (55M20) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04)

Related Items (6)

Families of similar simplices inscribed in most smoothly embedded spheres ⋮ ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE ⋮ Four Lines and a Rectangle ⋮ On the square peg problem and its relatives ⋮ SPLITTING LOOPS AND NECKLACES: VARIANTS OF THE SQUARE PEG PROBLEM ⋮ Configuration spaces, multijet transversality, and the square-peg problem

Uses Software

• SageMath
• SINGULAR

Cites Work

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• The Cinderella.2 Manual

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