A trichotomy for rectangles inscribed in Jordan loops

DOI10.1007/s10711-020-00516-8zbMath1448.51008arXiv1804.00740OpenAlexW3007915269MaRDI QIDQ2196649

Richard Evan Schwartz

Publication date: 3 September 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00740

zbMATH Keywords

configuration spaceinscribed rectangleinscribed squaresquare peg conjecture

Mathematics Subject Classification ID

Metric geometry (51F99)

Related Items (10)

Families of similar simplices inscribed in most smoothly embedded spheres ⋮ Non-orientable slice surfaces and inscribed rectangles ⋮ Pushing a rectangle down a path ⋮ The rectangular peg problem ⋮ SPLITTING LOOPS AND NECKLACES: VARIANTS OF THE SQUARE PEG PROBLEM ⋮ Inscribed rectangle coincidences ⋮ The conic geometry of rectangles inscribed in lines ⋮ Rectangles conformally inscribed in lines ⋮ Configuration spaces, multijet transversality, and the square-peg problem ⋮ Rectangles, curves, and Klein bottles

Cites Work

• Unnamed Item
• Quadrangles inscribed in a closed curve and the vertices of a curve
• Triangles inscribed in simple closed curves
• Rectangles inscribed in symmetric continua
• Quadrangles inscribed in a closed curve
• A Survey on the Square Peg Problem
• Inscribed Squares in Plane Curves
• Inscribed squares and square‐like quadrilaterals in closed curves
• A Proof of the Jordan Curve Theorem
• Equilateral triangles and continuous curves
• ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE
• AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
• SPLITTING LOOPS AND NECKLACES: VARIANTS OF THE SQUARE PEG PROBLEM

This page was built for publication: A trichotomy for rectangles inscribed in Jordan loops