Something is missing. We have a lot of solutions, and our map is still blank. Ok, let's start all over again. Let's setup a cutoff point, or iteration cutoff, for how many orbit values will be tested, i.e., how many times we will solve and resolve the equation for one value. We'll limit ourselves to 500 interations.
Iteration is another characteristic of fractals.
If the final resolution is within the circle of 2, we will plot it in black. If the final resolution is beyond the circle of 2, we won't plot it. Since I'm basically not a mathematical type, that is about the best I can do in describing how the process works. In fact, a lot of them have, resulting in LOTS of books on the subject of fractals and chaos. Everyone can answer that question for themselves, and everyone's answer will be different.