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Normally a Julia set is calculated by iterating

for a particular value of

c(in this example,i). Alternatively we can iterate the inverse mapping

randomly picking either the positive or negative root.

inverseJulia[z_] := Sqrt[z - I] /; Random[] < 0.5; inverseJulia[z_] := -Sqrt[z - I]; complexPoints = NestList[inverseJulia, 0.1 + 1.1 I, 10000]; ListPlot[complexPoints /. Complex[a_, b_]->{a, b}, AspectRatio -> Automatic];Designed and rendered using

Mathematica3.0 for the Apple Macintosh.

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