Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-28T13:39:14.482Z Has data issue: false hasContentIssue false
  • English
  • Français

Problems related to a conjecture by Grünbaum

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

J. N. Lillington
J. N. Lillington
Affiliation:
Royal Holloway College, Englefield Green, Surrey
Get access

Extract

Introduction. All the sets X considered in this paper are assumed to be compact convex sets in the Euclidean plane. We shall let K denote this class of sets. Problems concerning the division of such sets by three non-concurrent lines have been considered by Eggleston [1] on page 118 and by Grünbaum [2].

MSC classification

Secondary: 52A40: Inequalities and extremum problems
Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 45 - 54
Copyright
Copyright © University College London 1974

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Eggleston, H. G.. Convexity (Cambridge University Press, 1958).CrossRefGoogle Scholar
2.Grünbaum, B.. “A measure of asymmetry for plane convex sets”. Journal London Math. Soc, 39 (1964), 95–102.CrossRefGoogle Scholar
3.Grünbaum, B.. “Measures of symmetry for convex sets”. Proc. Symposia in Pure Math.,Vol. 71 (1963), 233–270.CrossRefGoogle Scholar