Rose of Io

Explanation of the Image...

This image, illuminated by the
escape time algorithm,
is created from the mathematical
system
defined by the expression, z←c _{1}*log(c_{2}*z) where z, c_{1} and c_{2}are complex numbers. The ← symbol signifies the iteration operation. The number z is the single state variable. 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: |