Fractal Reef

The Mandelbrot set is a fractal derived by repeatedly applying the equation f(z) = z*z + c over the 2D space of complex numbers. From this simple equation emerges a realm of beautiful and surprisingly organic looking shapes.

Fractal Reef offers a meditation on the emergence of life-like complexity from simple processes. I've animated the Mandelbrot by injecting noise into various points into the calculation. Each generated version opens a tiny window onto the immense form. In one or two, you can still see the characteristic beetle shape of the Mandelbrot.

While the dominant dimensions of noise will create tide-like movements, no token is likely to repeat a loop point for many millions of years. The animation is driven by the real-world time. Assuming your clock is accurate, you're unlikely to ever see the exact same image twice.