Julia Sets and the Mandelbrot Set

Exercise Answers

2. (c) Here are two examples of Julia sets for c values in M(-1) but not in M(0). The lower left picture is a magnification of the red box in the upper left picture.

So for points lying inside M(-1) and not in M(0), the Julia set appears to consist of infinitely many components, each of which is connected. This is not a possibility for Julia sets of z -> z2 + c.

Return to Exercises.