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On the width of a planar convex set containing zero or one lattice points

Published online by Cambridge University Press:  17 April 2009

Paul R. Scott
Affiliation:
Department of Mathematics, The University of Adelaide, Adelaide SA 5001, Australia
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We generalise to a rectangular lattice a known result about the maximal width of a planar compact convex set containing no points of the integral lattice. As a corollary we give a new short proof that the planar compact convex set of greatest width which contains just one point of the triangular lattice is an equilateral triangle.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1993

References

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