Math: The Voronoi Game
The Voronoi Game: a game only a mathematician could love (Java Applet). The goal is to maximize the "nearest-neighbor" area of your set of points by constructing a Voronoi diagram.
If you hold you mouse down and drag, your region seems to slither between the other regions. If you draw a straight line of regions, then put a solitary region off to the side, it forms what looks like a parabola (see pic).
That Voronoi diagram thing is kEwL! I wonder if anybody is investigating these things?