The missing boundaries of the Santaló diagrams for the cases \((d,\omega,R)\) and \((\omega,R,r)\)
type: Item
instance of: scholarly article
title: The missing boundaries of the Santaló diagrams for the cases \((d,\omega,R)\) and \((\omega,R,r)\)
zbMATH Open document ID: 0958.52002
DOI: 10.1007/PL00009507
author: Maria A. Hernández Cifre
author: Segura S. Gomis
published in: Discrete \& Computational Geometry
publication date: 2001-04-02T00:00:00Z
review text: A system of geometric inequalities for planar figures is called a complete system of inequalities if for any set of numbers satisfying those conditions there always exists a planar figure having these characteristic values. In this paper, complete systems of inequalities are established for the cases \((d,\omega,R)\) and \((\omega,R,r)\) where \(d\) is the diameter, \(\omega\) the minimal width, \(R\) the circumradius, and \(r\) the inradius of a planar compact convex set.
reviewed by: Arnfried Kemnitz
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 1436020
zbMATH Keywords: planar
zbMATH Keywords: diameter
zbMATH Keywords: width
zbMATH Keywords: circumradius
zbMATH Keywords: inradius
MaRDI profile type: Publication
full work available at URL: pl00009507
OpenAlex ID: W1990472496
description: scientific article; zbMATH DE number 1436020