# Iterations of inverse quadratic maps

Repelling periodic orbits are dense on the Julia set.
They become attracting if we iterate inverse function

*f*_{c}^{ -1} =
±(z - c)^{½},

therefore we can use iterations of the map to plot the
**J** set to the right below.
Douady's Rabbit, Dendrite and Cantor dust Julia sets illustrate inverse
iterations. In this script the sign of *z*^{½}
is chosen at random. Points are gathered at the outer border of
**J** and its inner structure is vague.

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Fatou sets
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*updated* 28 Dec 2013