File:Julia-set N z3-1.png

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Original file ‎(2,000 × 1,500 pixels, file size: 1.2 MB, MIME type: image/png)

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Description

Julia set (white) and Fatou set (dark red/green/blue) for

with

in the complex plane. Real ranges from to and Imag according to aspect ratio.
Date
Source self-made, see Visualising Julia sets
Author Georg-Johann Lay
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. 
        {
            cplx z = f(o);
            double d = sqrt(z.x*z.x + z.y*z.y);
            d = 1-pow(1-0.4*exp (-d*7),2);
            //d = .5*(1-afunc (d+d*log(d), 0.2, 0.5));
            
            
            v += d*pow(1-v,4);
            
            v = p_distort (v,1);
            //v = pow(v,2);
            iv = (-.1+JCOLORS)*v;
            
            z = cpolar (o);
            h = 1.4999*(z.y+M_PI)/M_PI;
            int ih = h;
            ih = (ih+2)%3;
            iv += ih * JCOLORS;
            
            double hh[3] = {0, 1./3., 7./12.};
            
            h = hh[ih];

            return hsv2rgb (h, 1.-v, v);
        }

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Date/TimeThumbnailDimensionsUserComment
current21:55, 26 March 2008Thumbnail for version as of 21:55, 26 March 20082,000 × 1,500 (1.2 MB)Georg-Johann (talk | contribs){{Information |Description= Julia set for :<math> f: z\mapsto z-\frac{g(z)}{g'(z)} </math> with :<math> g: z \mapsto z^3-1 </math> in the complex plane. Real ranges from <math>-2.2</math> to <math>2.2</math> and Imag according to aspect ratio. |Source=s

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