Square
Above, an order 8 square, or checkboard, is being tiled using the Propp-Wilson Algorithm. Due do the relaxed boundary conditions, the entire square is random. In the later cases, "arctic regions" will generally form in the corners, while only the center seems to be random.
If you want to look at a larger square, click here.
Note: clicking the mouse within the applet will pause or resume the randomization process.