The animation is an IFS-type fractal modified by the spherical folding mode. It explores the "alpha", "beta" and "gamma" rotations under General IFS Parameters, ultimately returning to the initial configuration. (too bad I can't figure out how to make the player loop the clip!)
I converted the png output frames to x264 flv using ffmpeg, and play it in the browser using flowplayer, also GPL software. Too bad you'll be stuck using the non-Libre flash plugin to view it. :-/
I'm also experimenting with serving files from amazon s3 instead of from dreamhost. dreamhost advantage: no bandwidth charges/limits. s3 advantage: speed.