Using I-Transformations
Another transformation kind is the I-Transformation.As with C- and Z-Transformations this term is made up by me, and I do not know if a similar approach has already been made.
Nevertheless using I-Transformations results especially in increasing the symmetry of Julia Sets.
An I-Transformation is computing a function i(z) before the generation function and
computing the inverse of i(z) after the generation function.
For most fractal sets and functions i(z) the form of the fractal set seems to be invariant.
This leaves a mathematical task:
Proof that f(z,c) is invariant in respect to I-Transformations in certain cases in the described way.
Example images you can find in Zatanz I-Transformations.
Below is shown how the I-Transformations are used within the classical approach.