New math theories reveal the nature of numbers [1,2] - "We prove that partition numbers are 'fractal' for every prime. These numbers, in a way we make precise, are self-similar in a shocking way. Our 'zooming' procedure resolves several open conjectures, and it will change how mathematicians study partitions." (/.|via) [more inside]
posted by kliuless on Jan 22, 2011 - 45 comments

40 fractals created with Apophysis, a freeware fractal flame generator. [more inside]
posted by Upton O'Good on Jan 12, 2009 - 18 comments

A talk with Benoît Mandelbrot, entitled Fractals in Science, Engineering and Finance (Roughness and Beauty) [video, 80mins, realplayer] about fractals as A Theory of Roughness.
posted by MetaMonkey on Dec 3, 2006 - 5 comments

These images remind us never to underestimate our opponent. -- The science behind the art (.pdf). Fractal art by way of bacteria growin' in a petri dish. A few more images here.
posted by Gator on Mar 7, 2006 - 7 comments

Fractal animation videos. Tune in. Turn on. Drop in on a dripping skirling-swirling pulsating orgy of self-transforming recursive math. Some with fractal music. (Non-embedded mpeg-1 and mpeg-2 files, like God intended.)
posted by loquacious on Aug 7, 2005 - 15 comments

The Buddhabrot Set is a re-visualization of the Mandelbrot Set, created with a rendering technique invented by Melinda Green, who further extended it to create the Buddhagram. [Via MonkeyFilter.]
posted by homunculus on Feb 4, 2004 - 15 comments