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

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

2006-08-15

arxiv.org/abs/math/0608392v1

Mathematics

History and Overview

4 Pages, 19 Figures

Scientific paper

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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