Explanation of the Image...

This image, illuminated by the escape time algorithm, is created from the mathematical system defined by the expression z←z*z+c where z and c are complex numbers. The ← symbol signifies the iteration operation. The number z is the single state variable and the number c marks the place in the complex plane where the iteration begins. The map of all possible states for this system is just the complex plane. The domain of this image in the map of possible states is:
(0.25391, 1.1245)/(0.31513, 0.9177)
The depth of iteration is 189.

The two branching structures shown here are similar but not identical, like cousins perhaps instead of identical twins.