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

Zoom on an area of the previous fractal (JMC-A01-01), above its red center.
Parameters used :
fn1() = cos(), fn2() = tan()
real(p1) = 2, imag(p1) = 5, real(p2) = 3, imag(p2) = 0, real(p3) = -2, imag(p3) = 0.3

Below is drawn the same fractal but with another palette of colors.