area <=4, non-zero lattice points lie outside the polygon, 4 quadrants
Source: IMAR 2011 p2
September 27, 2018
geometrycombinatorial geometryarealattice pointsconvex polygon
Problem Statement
The area of a convex polygon in the plane is equally shared by the four standard quadrants, and all non-zero lattice points lie outside the polygon. Show that the area of the polygon is less than .