answer:The actual math required to build a fractal is quite straightforward. The thing that sets it apart from ordinary high school algebra is that instead of an equals sign in the equation there is a funny looking sign like a equals, but with a little barb sticking out, like half an arrowhead on one end of the upper straight bar and the other end of the lower straight bar. This means in math an iteration, in other words, the result of the first time through the equation to the right feeds back into the value on the left and the equation runs again with the new value, over and over. This gives the Mandelbrot Set and the Julia Set and others like them their endless regression to ever finer detail. Benoit Mandelbrot himself wrote a book about how to teach Fractal Geometry in math classes. It’s for math teachers, but if you have a decent command of math you can probably grasp it. It’s called Fractals, Graphics, and Mathematics Education (Mathematical Association of America Notes) Also, this site has a whole section on online learning resources for Fractal plus a lot of other cool math that applies to art. Enjoy. It is certainly a fascinating subject. Finally, check out these two questions of mine. They have links to some truly wonderful videos on fractals. 1—How does the universe impose its fractal-like patterns of order on chaotic systems? 2—How small can the repetitive fractal features of nature get? 1—How does the universe impose its fractal-like patterns of order on chaotic systems? 2—How small can the repetitive fractal features of nature get?