Escape paths of Besicovitch triangles
type: Item
instance of: scholarly article
title: Escape paths of Besicovitch triangles
zbMATH Open document ID: 1254.52001
author: John E. Wetzel
author: Yevgenya Movshovich
published in: Journal of Combinatorics
publication date: 2012-08-28T00:00:00Z
review text: The shortest arcs that do not fit in the interior of a compact, convex body in the plane have been called its escape paths. The authors summarize basic general facts about such paths. Specializing to triangles, they study the escape paths of the so-called Besicovitch triangles, near-equilateral isosceles triangles recently shown by P. Coulton and Y. Movshovich to be covers for the family of all arcs of unit length. It is shown that each such triangle has exactly one escape path.
reviewed by: Anatoliy Milka
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 05B99
zbMATH DE Number: 6072907
zbMATH Keywords: worm problem
zbMATH Keywords: escape path
zbMATH Keywords: Besicovitch triangle
MaRDI profile type: Publication
DOI: 10.4310/JOC.2011.V2.N3.A4
description: scientific article; zbMATH DE number 6072907