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Playing with the critical point. An experiment with the Mandelbrot set connectivity

Alessandro Rosa
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Abstract

By means of a graphical journey across the Mandelbrot set for the classic quadratic iterator $f(z):z^2+q$, we illustrate how connectivity breaks as the seed $z_0$ is no longer at the critical point of $f(z)$. Finally we suggest an attack to the MLC conjecture.

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Alessandro Rosa. 2006-08-15. Playing with the critical point. An experiment with the Mandelbrot set connectivity. https://arxiv.org/abs/math/0608392

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