Galerie Fractale de Buttercup par L'intermédiaire de la Newton-Raphson
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Galerie Fractale de Buttercup par L'intermédiaire de la Newton-Raphson |
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| Thumbnail | Equation | Interval | Downloadable Resolution | Comment | Download |
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f(x) = x3 - 1 |
Re[-3,3] |
1200x1200 pixels | 11 Iterations/pixel. This was the first fractal that I constructed on Feb 11, 2004 | Download |
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f(x) = x3 - 1 |
Re[-.5,1] Im[0,1.5] |
1200x1200 pixels | 20 Iterations/pixel | Download |
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f(x)=x6+3 | Re[.3916, 1.05833] Im[1.03351, 1.47795] |
2700x1800 pixels | 30 Iterations/pixel | Download |
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f(x) = x3+x2+x+1-sin(2x) | Re[18Pi/5,23Pi/5] Im[2Pi/3, 4Pi/3] |
2700x1800 pixels | 30 Interations/pixel | Download |
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x = t - sin(t) y = 1 - cos(t) |
Re[17Pi/8, 25Pi/8] Im[-Pi/3, Pi/3] |
3600x2400 pixels | 20 Iterations/pixel | Download |
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x = r cos(t) y = r sin(t) |
Re[5Pi/32,13Pi/32] Im[-Pi/6, Pi/6] |
3600x2700 pixels | 20 Iterations/pixel | Download |
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f(x) = x5 - 1 |
Re[.5,1] Im[.3,.8] |
1200x1200 pixels 2400x2400 pixels |
25 Iterations/pixel | Download MedRes Download HiRes |
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x = x2 + c | Re[-2.1,.6] Im[-1.35,1.35] |
1200x1200 pixels 2400x2400 pixels |
Mandelbrot. Not Newton-Raphson Convergence. 100 Iterations/pixel | DownloadMedRes Download HiRes |
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x = x2 + c | Re[-.775,.-.725] Im[.05,.10] |
600x600 pixels | Hyper-detail of above fractal. 100 Iterations/pixel | Download |
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x = x2 + c | Re[0.18, 0.50] Im[-0.62, -0.30] |
2400x2400 pixels | Hyper-detail of Mandelbrot fractal. 100 Iterations/pixel | Download |
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x = x2 + c | Re[-2.05, -1.34] Im[-.08875, .08875] |
2400x600 pixels | Hyper-detail of Mandelbrot tail. 75 Iterations/pixel | Download |
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x = x2 + c | Re[-2.1,.6] Im[-1.35,1.35] |
1200x1200 pixels | Mandelbrot. Not Newton-Raphson Convergence. 100 Iterations/pixel | Download |
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f(x)=sin(1.25x)/x | Re[2Pi,5Pi] Im[Pi,3Pi] |
2700x1800 Pixels | 25 Iterations/Pixel | Download |
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f(x) = x4 - 1 |
Re[1,2] Im[1,2] |
1200x1200 pixels | 15 Iterations/pixel | Download |
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f(x) = x3 - 1 |
Re[-.5,1] |
1200x1200 pixels |
11 Iterations/Pixel. Close up of the the first fractal I constructed. | Download |
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f(x) = x4 + x3 + 2x2 + .2x + 1 | Re[-1.1. -.1] Im[1.9, 1.9] |
1200x1200 Pixels 2400x2400 Pixels |
30 Iterations/Pixel | Download MedRes Download HiRes |
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f(x)=(x+1)5 |
Re[2,5] Im[2,4] |
4500x3000 Pixels | 25 Iterations/Pixel | Download |
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f(x)=exp(-x)sin(x) |
Re[-6Pi,0] Im[-2Pi,2Pi] (Rotated) |
1800x2700 Pixels | 25 Iterations/Pixel | Download |
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f(x) = x8 + 2 |
Re[1.1775, 1.2875] Im[1.15, 1.26] |
2880x1920 Pixels | 100 Iterations/Pixel | Download |
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f(x) = 2x4 + 3x3 + x2 + x + 1 | Re[1.75. 3.25] Im[-.75, .75] |
1200x1200 Pixels 2400x2400 Pixels |
30 Iterations/Pixel | Download MedRes Download HiRes |
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x = x2 + c | Re[-2.6,-1.85 ] Im[-0.25, 0.25] |
6480 x 1440 Pixels | 40 Iterations/Pixel (in 3 Dimensions) | Download |
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f(x)=sin(1.25x)/x | Re[2Pi,5Pi] Im[Pi,3Pi] |
1650x508 Pixels | 25 Iterations/Pixel (in 3 Dimensions) | Downloads |
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f(x)=sin(x2) | Re[-1.5,0] Im[-1,0] |
1650x508 Pixels | 25 Iterations/Pixel | Downloads |
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f(x)=sin(1/x) | Re[-1.5,1.5] Im[-1,1] |
1619x974 Pixels | 25 Iterations/Pixel | Downloads |
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f(x)=x3sin(x) | Re[-1,0] Im[-1/3,1/3] |
1620x1216 Pixels | 30 Iterations/Pixel | Downloads |
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f(x)=e-xsin(x) | Re[-3,3] Im[-2,2] |
1619x1216 Pixels | 25 Iterations/Pixel | Downloads |
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f(x)=sin(x)/x2 | Re[-1,1] Im[-2.5,-1.167] |
1215x811 Pixels | 25 Iterations/Pixel | Downloads |
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f(x)=sin(x)/x2 | Re[0,Pi] Im[0,2Pi/3] |
1216x811 Pixels | 25 Iterations/Pixel | Downloads |
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f(x)=sin(x)ex | Re[0.1,1.0] Im[0.45,1.05] |
1024x544 Pixels | 30 Iterations/Pixel | Downloads |
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f(x)=x3+1 | Re[-0.15,1.35] Im[-0.53,0.47] |
1920x1080 Pixels | 20 Iterations/Pixel | Downloads |
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f(x)=sin(x)ex | Re[0,Pi/2] Im[-Pi/6,Pi/6] |
3600x1231 Pixels | 20 Iterations/Pixel | Downloads |
