So the program I wrote about some days ago has produced some promising output (running on 3 machines most of the time), have a look.
Short explanation of the picture:
There are 3 magnets (the white "holes"). A pendulum is released at some point; it swings above the magnets, effected by their attraction, gravity (which pulls it to the centre), and friction (which slows it down).
Finally, it will come to rest at one of the 3 magnets, or in the middle.
Now the point where it started is colored accordingly -- red, if it stopped at the magnet to the right, blue for the upper-left magnet, green for the lower-left one, and grey if it happened to end it's journey at the centre.
You can see some fractal-like properties, and in fact this structure is very much like a classical fractal: You take an initial value (in this case the starting point), apply the same formula(s) over and over again, until the value(s) "bail out", and then color the starting point accordingly.