Sequence Fractals Part III #36

$ z^2+c+s_i$
s₀=0.3, s_i+1=-1.8*s_i²+0.9
Center:-0.5+0i; Zoom = 1

Now the sequence start point is 0.3.

Changes to the start point make different pictures, but there are also some commonalities. They all look like colored Rorschach pictures. Since the sequence consists of all real numbers there is a symmetry between z and its conjugate $ \bar z$. That generates the vertical symmetry in the picture.

Also, nothing is captured. (The capture set is not colored black. It is colored blue/grey with this palette.) Well, maybe something is captured, I have not searched for a capture set. I suspect with the relatively large range [-0.58,0.90] for s_i, eventually every orbit gets bumped out to the escape region. When the sequence has a large bump, several points are knocked out together.