Since

Douady's Rabbit, Dendrite and Cantor dust Julia sets illustrate inverse
iterations. In this applet the sign of z is choosed at
random. Points are gathered at the outer border and inner structure of the
sets is vague. One could use both two values of the inverse map to make clear
Julia sets but then I don't know how to zoom the pictures
(and I failed to color images accurately :)
^{1/2} |

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