Re: [math-fun] convex lattice 11-gon of minimum area

On Tue, Dec 16, 2003 at 01:10:57PM -0800, Chris Landauer wrote:

I also decided that I could prove that we can start by taking the first point to be the origin and insisting that the first point after the origin must be in the first quadrant, and that all the points are in the upper half-plane.

Maybe this is obvious to you, but you can assume that the first point after the origin be (say) (1,0), by acting by SL(2,Z). Furthermore, you can assume that the next point after that is (k+1, l) where 0 < k < l and k and l are relatively prime. Peace, Dylan