A Polygon is Convex if it contains all the Line Segments connecting any pair of itspoints. Let be the smallest number such that when is a set of more than points in General Position(with no three points Collinear) in the plane, all of the Vertices of some convex -gonare contained in . The answers for , 3, and 4 are 2, 4, and 8. It is conjectured that , but onlyproven that