| 17. By the Dichotomy Theorem, every quadratic Julia set is either connected or a Cantor set. Cantor sets have no solid regions, so this cannot be a Julia set for a point outside the quadratic Mandelbrot set. |
| The lower right part of this image is not connected to the rest of the image, so this Julia set is not connected. That is, this is not the Julia set of any point in the quadratic Mandelbrot set. |
| Consequently, this is not the Julia set of any point associated with the quadratic Mandelbrot set. |
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