Tenth Homework Set Answers

17. For (a) some branch points have four branches, some have three. Every branch point of a Julia set for a point in a disc attached to the main cardioid of the quadratic Mandelbrot set has the same number of branches, so (a) cannot be a Julia set of a point in a disc attached to the main cardioid.
Every branch point of (b) appears to have four branches, so this could be the Julia set of a disc attached to the main cardioid.
(a)   (b)

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