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How to draw Julia sets of rational functions on Riemann sphere, the inbuilt mathematica command draws it on complex plane.

Edit: My question is marked a duplicate by many learned people but when I went to the so called duplicate it was about the Newton maps, My question is about arbitrary rational map, not about the basin of roots in Newton maps.

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  • $\begingroup$ My question is marked a duplicate by many learned people but when I went to the so called duplicate it was about the Newton maps, My question is about arbitrary rational map, not about the basin of roots in Newton maps. $\endgroup$ – Abhishek Mishra May 7 '17 at 18:21
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    $\begingroup$ I agree that the linked question is not an exact duplicate. However, a one sentence question whose answer is essentially a programming project is likely to be closed as too broad or out of scope anyway. At the very least, this question should provide some non-Newton's method based examples of what you'd like to accomplish. Further, my answer to the linked question, defines a function called limitInfo that, in principle, could be modified to iterate until periodicity is detected. The rest of the code should work unaltered. $\endgroup$ – Mark McClure May 7 '17 at 19:46