Flowers and Spirals and iterated complex functions

Take a look at spiral.fnargs.com - it's a plotter for the function that generates the Mandelbrot fractal:

  z <- z2 + c

These are some of the images it generates:

It's written in arc, using rainbow (in order to access java's image libraries; it could also be done using shell calls to ImageMagick from arc3).

Enjoy.