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On the maximal circumradius of a planar convex set containing one lattice point

Published online by Cambridge University Press:  17 April 2009

Poh W. Awyong  and
Paul R. Scott
Poh W. Awyong
Affiliation:
Department of Pure MathematicsThe University of AdelaideSouth Australia 5005 e-mail: pawyong@maths.adelaide.edu.aupscott@maths.adelaide.edu.au
Paul R. Scott
Affiliation:
Department of Pure MathematicsThe University of AdelaideSouth Australia 5005 e-mail: pawyong@maths.adelaide.edu.aupscott@maths.adelaide.edu.au
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Abstract

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We obtain a result about the maximal circumradius of a planar compact convex set having circumcentre O and containing no non-zero lattice points in its interior. In addition, we show that under certain conditions, the set with maximal circumradius is a triangle with an edge containing two lattice points.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 1 , August 1995 , pp. 137 - 151
Copyright
Copyright © Australian Mathematical Society 1995

References

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