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

Parameters used here :
fn1() = cos(), fn2() = tan()
real(p1) = 2, imag(p1) = 4, real(p2) = 0.5, imag(p2) = 0.5, real(p3) = 0.11, imag(p3) = 0

Below is drawn a zoom of an area of the above image, with the same palette of colors.



Using a larger area, we can see that the initial image belongs to a pair of two counterclockwise spirals shown below.



Below is drawn a zoom of the center of the above image, with another palette of colors.



The fractals shown above belong to an alignment along the x axis of the same image.
The length of this alignment is infinite.
Below is shown a partial view of this alignment with the palette of colors used for the first image above.