Covering \(n\)-segment unit arcs is not sufficient
type: Item
instance of: scholarly article
title: Covering \(n\)-segment unit arcs is not sufficient
zbMATH Open document ID: 1118.52003
author: Chatchawan Panraksa
author: John E. Wetzel
author: Wacharin Wichiramala
published in: Discrete \& Computational Geometry
publication date: 2007-04-26T00:00:00Z
review text: In this note the authors construct a compact convex set which contains, for each positive integer \(n\), a congruent copy of any \(n\)-segment polygonal arc of unit length, but not every unit arc. It disproves a conjecture posed by \textit{J. Gerriets} and \textit{G. Poole} in [Am. Math. Mon. 81, 36--41 (1974; Zbl 0279.52007)].
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 5146112
reviewed by: Maria A. Hernández Cifre
MaRDI profile type: Publication
full work available at URL: s00454-006-1258-7
OpenAlex ID: W2158993493
DOI: 10.1007/S00454-006-1258-7
description: scientific article; zbMATH DE number 5146112