I've done a little bit that you might find interesting with tracing the
boundary of the Mandelbrot set and using the real and imaginary
coordinates as waveforms. It blows my mind, but happens to be the case,
that there is a simple recurrence relation known to produce the Fourier
expansion of the coordinates as a function of the external argument,
basically the "angle" around the set's boundary. So generating the
waveform that results from running around a path approximating the
boundary, is relatively easy, especially if you wanted to work in the
frequency domain anyway. Web log articles about my experiments here.
The first article involved using Csound to generate the waveforms, though
the actual calculations of the coefficients were done separately by other
code and all Csound does is play that precalculated spectrum.