Y by
Let
be two non-parallel lines and
be positive reals. The set of points
, such that
is a multiple of
is called a
. Let
be finite set of points, not all collinear. A triangle with vertices in
is called
if no points from
lie inside or on the sides of the triangle. Given that all empty triangles have the same area, show that
is the intersection of a grid
and a convex polygon
.












