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MAKE A MEME View Large Image $Julia N z3 -2z 2.jpg Julia set in white for en Newton's method for <math>f z z 3-2z+2\ </math> i e <math>z\to z-\frac z 3-2z+2 3z 2-2 </math> Start values in the cyan pink yellow shaded regions converge to one of the three zeros of Values ...$

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Keywords: Julia N z3 -2z 2.jpg Julia set in white for en Newton's method for <math>f z z 3-2z+2\ </math> i e <math>z\to z-\frac z 3-2z+2 3z 2-2 </math> Start values in the cyan pink yellow shaded regions converge to one of the three zeros of Values from the red/black regions do not converge they are attracted by a cycle of period 2 eigene Arbeit siehe de Benutzer Georg-Johann/Mathematik Visualising Julia sets 2008-08-28 Georg-Johann Lay thumb right discrete colors <pre> double h s v; v afunc ss EX 2 5 2 /sigma ; v 1-pow 1-v 2 ; cplx w z f o ; double d ccabstand 0 z ; d 0 6 exp -d 8 ; if ccabstand 0 oz < 1e-5 ccabstand 1 oz < 1e-5 d ccabstand 5 o ; d 0 6 exp -sqrt d 20 ; h 0; else z cpolar oz ; h sin z y/2 /2; v 1- 1-v 1-d ; color hsv2rgb h 1 -v v ; </pre> Newton fractals Images with C source code HSV