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I am trying to understand the classification of points in the Mandelbrot set. There are an infinite number of baby Mandelbrots, each associated with a defined set of landing rays. There are the pre periodic Misiurewicz branching points, which also have landing rays. What are the rest of the points in the Mandelbrot set called? Are they called chaotic? Also, is this set of remaining uncountably infinite? What is known about landing rays for these remaining points?

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+1 and added to favorites :) – mick Jan 29 at 22:22

1 Answer

boundary points :

  1. Siegel points

  2. parabolic points

  3. Cremer points

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Nice answer. +1 – mick Jan 29 at 22:23

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