Julia Sets and the Mandelbrot Set

Exercise Answers

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

So for points lying inside M(0) and not in M(-1), 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.