Technical data for this type of fractal : click here (C01-01).

Here :
fn1() = ident(), fn2() = ident(), fn3 = ident(), fn4 = cotanh()
real(p1) = 2, imag(p1) = 8, real(p2) = -3, imag(p2) = 0, real(p3) = 0, imag(p3) = 0

With a zoom on a small area of the above fractal with the same parameters
the shape of the fractal looks like this :



If imag(p1) = 32 instead of 8 used for the above fractal, the new fractal looks like this :