| The boundary of the Mandelbrot set is a very complicated place, because in addition to the Misiurewicz points, every circle centered at every boundary point encloses infinitely many centers, hence infinitely many copies of the Mandelbrot set. |
| Looking very closely, the branches appear to grow more and more dense. The eye is not mistaken: Shishikura proved the boundary of the Mandelbrot set is 2-dimensional. |
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