Fractal Graphs, anyone? (another AI question)

Well for my AI utility thing, I've been toying with the idea of using fractals as a basis for some algorithms. I got the idea when I realized that for what I'm wanting to do, the perceptrons would not be storing normal geometric functions and things like that, but would each work independently to work with a seemingly random set of numbers to find some level of organization. When I pictured this, it reminded me of a fractal graph I had seen in math. I thought fractals, because of the iterative nature would be perfect for predicting things. Unfortunately, we didn't really do much with fractals in math, and I have no idea how to generate a fractal, based on the regular (x,y) (with a z in there somewhere) graph. I got on google and had a look around, but I can't find a tutorial that explains any of this well at all. Anyone?