Lorenz Attractor in 101 bytes of JS
gist.github.com
gist.github.com
My favorite is the Peter de Jong attractor, described here: http://paulbourke.net/fractals/peterdejong/
Here's a <canvas> version. Click and drag and release to re-seed the starting coordinates: http://jashkenas.s3.amazonaws.com/misc/deJong/deJong.html
Here's the annotated source code: http://jashkenas.s3.amazonaws.com/misc/deJong/docs/deJong.ht...
Edit: I've added a permalink button, so that you can link directly to interesting coordinates that you discover: http://jashkenas.s3.amazonaws.com/misc/deJong/deJong.html#59...
The result is still pretty, but that's a bit too much handwaving for my taste.
"Public domain" would suffice. Yes, a significant percentage of the population does have a problem with needless obscenity.
I've used a "version 3" (different version, different name!) of the WTFPL that I picked up from somewhere on a few of my projects, it has some additional legal garble that would probably beef it up just slightly if it was ever tested in court. https://github.com/Jach/lucid_demo/blob/master/COPYING
Hint: Hit the eye icon on the right for live preview.
http://bdon.github.com/strange_attractor/
(Only works in Chrome)