Disks in Curves of Bounded Convex Curvature

DOI10.1080/00029890.2020.1752602zbMath1445.51004arXiv1909.00852OpenAlexW3045532349MaRDI QIDQ3304736

Mikkel Abrahamsen, Anders Aamand, Mikkel Thorup

Publication date: 3 August 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00852

zbMATH Keywords

unit disksimple closed curvepocket machiningbounded convex curvaturePestov-Ionin theorem

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Curves in Euclidean and related spaces (53A04)

Related Items (2)

Moon in a Puddle and the Four-Vertex Theorem ⋮ How to cut corners and get bounded convex curvature

Cites Work

• Length minimising bounded curvature paths in homotopy classes
• An inequality for the maximum curvature through a geometric flow
• A reverse isoperimetric inequality, stability and extremal theorems for plane curves with bounded curvature
• Finding the Maximum Subset with Bounded Convex Curvature
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• Curvature-Constrained Shortest Paths in a Convex Polygon
• Reachability by paths of bounded curvature in convex polygons
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