The Heilbronn Problem (Erich Friedmann)Discuss about this problem
How do you locate n points inside a unit square so that the area of the smallest triangle formed by 3 of these points is maximized?
http://www.stetson.edu/~efriedma/heilbronn/
http://www.stetson.edu/~efriedma/heilcirc/
http://www.stetson.edu/~efriedma/heiltri/
See link. We can extend the problem upto 50x50 squares.