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ArtistLet the picture represent the complex plane. For each point C (=x+iy), do the following: Set complex number Z=0; then repeatedly compute the new value of Z = Z*Z + C. Do this up to 150 times, but stop if the absolute value of Z is less than 2. Now colour the point C in the picture black if you took all 150 goes, but blue if you only took 149 goes, and red if you took less than 149 goes.
Just a quick try :)