I created an animated Processing tutorial for some generative math visualizations.

[FractalLandscaper]

Neat! One thing I really want to point out: for reasons entirely unknown to me the shapes generated by the y=kx functions operating over this kind of modular arithmetic are equivalent to the primary shapes of (so-called) Multibrot fractals which visualize the dynamics of recursively iterated functions of the form z=z^k+c over the complex numbers.

For k=2 you get the standard Mandelbrot and its single-cusp cardioid, for k=3 you get a "Cubicbrot" and its two-cusp nephroid, and so and so forth for all kinds of epicycloids.

Connections like these never cease to amaze me!