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

Here :
fn1() = ident(), fn2() = ident(), fn3 = ident(), fn4 = sinh()
real(p1) = -4, imag(p1) = 64, real(p2) = 1, imag(p2) = 0, real(p3) = 0, imag(p3) = 0

If imag(p1) = 512 instead of 64, the shape of the new fractal looks like this :



With a zoom of an area of the bottom of the above fractal, the new image looks like this :



The same zoom but with another palette of colors, the fractal looks lihe this ;