A convex polygon having precisely 2N (N ≥2) sides has each of its vertices at lattice points.

Can the area of the polygon be < N³/100?
If so, give an example.
If not, prove it.

(In reply to Solution by Jer)

The puzzle asks for "A convex polygon", but your polygon is not convex.

Posted by Brian Smith on 2016-09-01 23:17:59