Abstract
Let n be a positive integer and ∥ · ∥ any norm in R 2 . Denote by B the unit ball of ∥ · ∥ and P B , n the class of convex lattice polygons with n vertices and least ∥ · ∥ -perimeter. We prove that after suitable normalization, all members of P B , n tend to a fixed convex body, as n → ∞ .
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