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Open AccessJournal ArticleDOI

On convex lattice polygons

P. R. Scott
- 01 Dec 1976 - 
- Vol. 15, Iss: 03, pp 395-399
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TLDR
In this paper, a convex lattice polygon with b boundary points and c (≥ 1) interior points is considered and it is shown that for any given c, the number b satisfies b ≤ 2c + 7, and identify the polygons for which equality holds.
Abstract
Let π be a convex lattice polygon with b boundary points and c (≥ 1) interior points. We show that for any given c, the number b satisfies b ≤ 2c + 7, and identify the polygons for which equality holds.

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