Julia


From Stan Wagon's very nice book: 

    "Mathematica in Action" - Freeman and Co. (ISBN:88-386-3403-3)

 

(* Julia 'Inverse Iteration Method' z^2+c -> sqrt[z-c],-sqrt[z-c] *)


JuliaIIM[c_, n_] := Show[Graphics[
	Map[{	Point[{Re[#],Im[#]}],
		Point[-{Re[#],Im[#]}]} &,
	Drop[NestList[
	 If[Random[Integer]==1,1,-1] Sqrt[#-c] &,
		0.2, n + 50],50]]]]

 

(* Esempio Julia(z,iter) *)

JuliaIIM[(.390541 + .586788 I), 7000]

 


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