Inscribed squares and square‐like quadrilaterals in closed curves

DOI10.1112/S0025579300013061zbMath0669.53002OpenAlexW2106991731WikidataQ61920153 ScholiaQ61920153MaRDI QIDQ3822780

Walter R. Stromquist

Publication date: 1989

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300013061

zbMATH Keywords

inscribed squarelocally monotone curvepiecewise \(C^ 1\) curvesquadrilateral with equal sides and equal diagonalssmooth curve in \(R^ n\)

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Euclidean geometries (general) and generalizations (51M05) General convexity (52A99)

Related Items (14)

Rhombi inscribed in simple closed curves ⋮ Rectangles inscribed in symmetric continua ⋮ ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE ⋮ Four Lines and a Rectangle ⋮ Closed polylines inscribed in a closed space curve ⋮ On the square peg problem and its relatives ⋮ AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM ⋮ A trichotomy for rectangles inscribed in Jordan loops ⋮ Two discrete versions of the inscribed square conjecture and some related problems ⋮ Fulton-MacPherson compactification, cyclohedra, and the polygonal pegs problem ⋮ SPLITTING LOOPS AND NECKLACES: VARIANTS OF THE SQUARE PEG PROBLEM ⋮ Configuration spaces, multijet transversality, and the square-peg problem ⋮ Quadrilaterals inscribed in convex curves ⋮ Rectangles, curves, and Klein bottles

Cites Work

• Convexity and the table theorem
• Remarks on Fenn's The table theorem and Zak's The chair theorem
• Finite sets on curves and surfaces
• Inscribed Squares in Plane Curves
• The Table Theorem

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