Iterations of inverse quadratic maps
Repelling periodic orbits are dense on the Julia set.
They become attracting if we iterate inverse function
fc -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 z½
is chosen at random. Points are gathered at the outer border of
J and its inner structure is vague.
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updated 28 Dec 2013