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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
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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

Information

Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 45 - 54
Copyright
Copyright © University College London 1974

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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