This is just a funny but pointless demo I made. By using sprites as a particle system and creating these shapes with a relatively simple algorithm. BTW the technical name is 'strange attractor'.
Before I found the right speed/timestep ratio for stability, the attractor would break down quickly to infinity. Or converge to zero giving interesting results:
Source code:
http://www.ihud.com/file.php?file=files ... lorentz.qc