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| View Original: | Julia-set z2+c -0.742 0.1 5000.jpg (2000x1200) | |||
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| Keywords: Julia-set z2+c -0.742 0.1 5000.jpg Julia set for <math>z\mapsto z 2 -0 742 + 0 1i</math> Own 2008-04-02 Georg-Johann Lay Coloring For definition of <math>E_n \ \ \sigma_n \Sigma_n z h_a x w_a x </math> see Visualising Julia sets and the helper functions <math>\begin align n 5000\\ K E_n + 2 2\sigma_n\\ J \ln \delta+\Sigma_n z - K \\ V_1 \begin cases h_ 0 6 J \text if z\notin A \infty \text or J > 0\\ h_ 0 09 J \text else \end cases \\ V_2 1- 1-V_1 2\\ V_3 0 7 1-w_ 7 5 \Sigma_n z \\ V \begin cases 1- 1-V_2 1-V_3 \text if z\notin A \infty \\ V_2 \text else \end cases \\ H \begin cases 0 3 \text if z\notin A \infty \\ 0 75 \text else \end cases \\ \mathrm color \operatorname HSV H 1-V V \end align </math> <math>V_1</math> is sufficient to show the Julia set <math>V_2</math> stresses the bright parts <math>V_3</math> serves to shade the Fatou set green and is merged with <math>V_2</math> to <math>V</math> the brightness The hue <math>H</math> is set according to the basin of attraction There are two basins for this one belonging to the attractor ˆž <source lang c> int basin getBasin z ; K EX+2 3 sigma; X log ss - K; if basin 0 X > 0 v hfunc X 6 ; else v hfunc X 09 ; v 1-pow 1-v 2 ; double x; if abstand2 o _0 < 10 x bfunc 15 ss ; x 0 7 1-x ; v 1- 1-v 1-x ; return hsv2rgb 0 3 1-v v ; else return hsv2rgb 0 75 1-v v ; iv - 1+JCOLORS v; color index iv; return color; </source> Connected Julia sets Complex quadratic map Images with C source code | ||||
