The Minimum Area of Convex Lattice n-Gons

Let A(n) be the minimum area of convex lattice n-gons. We prove that lim A(n)/n 3 exists. Our computations suggest that the value of the limit is very close to 0.0185067....

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Correspondence to Imre Bárány*.

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* Partially supported by Hungarian National Science Foundation Grants T 032452 and T 029255.

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Bárány*, I., Tokushige, N. The Minimum Area of Convex Lattice n-Gons. Combinatorica 24, 171–185 (2004).

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Mathematics Subject Classification (2000):

  • 52C05