I spent the last few hours experimenting with writing shaders to display fractals. I'm using the Julia Set (named after French mathematician Gaston Julia, who devised the formula). The Julia set requires a set of seeds to be fed in. I base mine on the sine of the application time (so the fractals shift and change over time). I also modify the ratio between the two components of the seed in a similar way, which varies the patterns quite a bit.
A demo can be downloaded from here:
Here are a few screenshots.