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Convex lattice polygons of minimum area

Published online by Cambridge University Press:  17 April 2009

R.J. Simpson
R.J. Simpson
Affiliation:
School of Mathematics and Statistics, Curtin University of Technology, GPO Box U1987 Perth WA 6001, Australia
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Abstract

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A convex lattice polygon is a polygon whose vertices are points on the integer lattice and whose interior angles are strictly less than π radians. We define a(2n) to be the least possible area of a convex lattice polygon with 2n vertices. A method for constructing convex lattice polygons with area a(2n) is described, and values of a(2n) for low n are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 3 , December 1990 , pp. 353 - 367
Copyright
Copyright © Australian Mathematical Society 1990

References

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