The minimum area convex lattice n-gon

Imre Barany
University College London and Renyi Institute (Budapest)

Abstract: Let $A(n)$ be the minumum area a convex lattice $n$-gon can have. It has been known that $A(n)$ is of order $n^3$. We prove that $\lim A(n)/n^3$ exists and its value is very close to 0.0185068. This is joint work with N. Tokushige.

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