You can modify the code of the last post “self-similar fractals … – the code” to produce new images. A large value for the imaginary part of the constant c often destroys the mirror symmetry and gives a more dynamic swirling pattern. Instead if z you can use its complex conjugate, its inverse value 1/z or a higher power. Go far, be bold.
Here is an example using the complex conjugate of z and an imaginary number c: