A Polygon is Convex if it contains *all* the Line Segments connecting any pair of its
points. 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 -gon
are contained in . The answers for , 3, and 4 are 2, 4, and 8. It is conjectured that , but only
proven that

where is a Binomial Coefficient.

© 1996-9

1999-05-25