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Technical data for this type of fractal : click here (JMC-A01-01).
Parameters used here :
fn1() = cos(), fn2() = tan()
real(p1) = 2, imag(p1) = 8, real(p2) = 0.5, imag(p2) = 0.5, real(p3) = 0.11, imag(p3) = 0
The above image is a zoom of a small area of the counterclockwise spiral fractal shown below.

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

Below is drawn a zoom of the center of the above image.

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.

Zoom of a small area of the above fractal.

Other zoom of an area of the above image. Note the similarity with the first fractal above.