let $a(n)$ be the minimum area of convex lattice $n$-gons. (here lattice is the usual lattice of integer points in $r^2$.) g. e. andrews proved in 1963 that $a(n)>cn^3$ for a suitable positive $c$. we show here that $\\lim a(n)/n^3$ exists, and explain what the shape of the minimizing convex lattice $n$-gon is. this is joint work with norihide tokushige.