Technical data for this type of fractal : click here.

For the factal here :
fn1 = conj(), fn2 = tanh(), fn3 = tanh(), fn4 = cosh()
real(p1) = 4, imag(p1) = 2, real(p2) = 1, imag(p2) = 1, real(p3) = 16, imag(p3) = 1

Note.
The conj function used for the fractal showned here returns the complex conjugate
of the argument, i.e. changes the sign of the imaginary component of the argument :
this means that (x, y) is replaced by (x, -y).