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Inradius and circumradius for planar convex bodies containing no lattice points
Published online by Cambridge University Press: 17 April 2009
Abstract
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Let K be a planar convex body containing no points of the integer lattice. We give a new inequality relating the inradius and circumradius of K.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 163 - 168
- Copyright
- Copyright © Australian Mathematical Society 1999
References
[1]Awyong, P.W., ‘An inequality relating the circumradius and diameter of two-dimensional lattice-point-free convex bodies’, Amer. Math. Monthly (to appear).Google Scholar
[2]Awyong, P.W. and Scott, P.R., ‘New inequalities for planar convex sets with lattice point constraints’, Bull. Austral. Math. Soc. 54 (1996), 391–396.CrossRefGoogle Scholar
[3]Eggleston, H.G., Convexity, Cambridge Tracts in Mathematics and Mathematical Physics 47 (Cambridge University Press, New York, 1958).CrossRefGoogle Scholar
[4]Scott, P.R., ‘A lattice problem in the plane’, Mathematika 20 (1973), 247–252.CrossRefGoogle Scholar
[5]Scott, P.R., ‘Two inequalities for convex sets with lattice point constraints in the plane’, Bull. London. Soc. 11 (1979), 273–278.CrossRefGoogle Scholar
[6]Scott, P.R., ‘Further inequalities for convex sets with lattice point constraints in the plane’, Bull. Austral. Math. Soc. 21 (1980), 7–12.CrossRefGoogle Scholar
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