Immobilization of smooth convex figures: Some extensions
type: Item
instance of: scholarly article
title: Immobilization of smooth convex figures: Some extensions
zbMATH Open document ID: 0895.52001
DOI: 10.1007/BF01252221
author: David Mayer Foulkes
published in: Journal of Geometry
publication date: 1998-01-21T00:00:00Z
review text: It is known that any plane convex see with \(C^2\) boundary, different from a circular disk, can be immobilized by three points. Here it is shown first that these three points can always be chosen in such a way that a certain curvature condition is fulfilled and secondly that then motion of one of these points forces the other two points to move in a unique way. [On p. 109 \(r-x\) has to be replaced by \(r\cos \theta-x\) and the power series of \(x(\theta)\) starts with \(1- \theta^2/2\). Apparently these corrections do not affect the conclusions].
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 53A04
zbMATH DE Number: 1106606
zbMATH Keywords: immobilization convex curve
reviewed by: Erhard Heil
MaRDI profile type: Publication
cites work: Immobilization of Solids and Mondriga Quadratic Forms
cites work: Immobilization of smooth convex figures
cites work: IMMOBILIZING A SHAPE
cites work: Q5813619
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description: scientific article; zbMATH DE number 1106606