Technical data for this type of fractal : click here (JMC-A01-01).

Parameters used here :
fn1() = cos(), fn2() = atanh()
real(p1) = 1, imag(p1) = 2, real(p2) = 0.5, imag(p2) = 0.5, real(p3) = 0, imag(p3) = 0
Note.
A zoom on the center of this fractal will always gives the same image no matter the number of zooms.

Below two images of the same fractal but with other palettes of colors.





All the above images belong to an alignment of two images with a center of symmetry for the two images along the x axis.
This alignment is shown below with a different palette of colors.
The length of this alignment is infinite.



Zoom on the center of the above image showing a center of symmetry.