If you find fractal curves interesting, you should really try out the
Xaos Fractal Zoomer. It's open source and runs on many different platforms. Installation (on Windows) is simple - unzip to a folder and run it.
This program draws several different types of
fractal curves and lets you zoom down to incredible detail. You've really got to see it to appreciate it. The program includes several well done tutorials on the mathematics of fractals and the construction of several different fractal sets.