Have you seen (or played) the demo for Polynomial, the space shooter? Quick! Watch the video:
Click the black region to generate new polynomial coefficients and redraw. You will have to click many times to generate something interesting. That’s the nature of fractals, I’m afraid. Some coefficients are automatically thrown out if the drawing exceeds a certain size. Unfortunately, the inverse is not true: the code isn’t smart enough to trash any drawings that shrink to microscopic size.
I believe that you can stabilize any coefficients by scaling the values of each coefficient, gradually nudging them larger/smaller until the drawing is stable. I’ll try this when I get more time. I’ve been gung-ho on my first proper iPhone app, trying to finish it before Christmas! Stay tuned…
Also, here’s the source code for the strange attractor harness! Enjoy.