Dave's Web Corner

The Julia Set \(J_{0.2+0.6i}\)

Depth:

Algorithm for Approximating a Julia Set, J_c

1. Select a number c in the complex plane and select a positive integer D (depth).
2. For each number z in the complex plane form the sequence:
   {z, z²+c, (z²+c)²+c, ((z²+c)²+c)²+c, ...}.
3. Shade z if the first D numbers in its sequence have length less than 2.