Photoshop Gradient Map - Colorize Grayscale Fractals

Here is a grayscale fractal Mandelbrot set image generated by Alex Calothis (he offers his generator for download)

Mandelbrot sets are graphs that describe the rate of a certain behavior of points in the complex plane. Colors are assigned to them arbitrarily.

One common method over the years for assigning color to Mandelbrot sets resembles the functionality of the Photoshop gradient map.

Above is what happens if you use a Photshop gradient map to colorize a grayscale Mandelbrot set fractal.