Dave's Web Corner

The Mandelbrot Set

Depth:

Algorithm for Approximating the Mandelbrot Set, M

1. Select a number c in the complex plane and a positive integer D (depth).
2. Form the sequence: {c, c²+c, (c²+c)²+c, ((c²+c)²+c)²+c, ...}.
3. Shade c if the first D numbers in its sequence have length less than 2.