Fractals in Python

Repository with Python code that renders fractals, compatible with both Python 2.7 and 3.2+, showing and saving files with Matplotlib.

For more information about the maths used for fractals (as well as its history), see the Wikipedia pages about the Julia set and Mandelbrot set.

Examples

1. Julia fractal

   python -m fractal julia -0.644 --size=300x200 --depth=25 --zoom=0.6 --show
   

   

2. Julia fractal

   python -m fractal julia -0.7 +0.27015 j --size=500x300 --depth=512 --zoom=0.6 --show
   

   

3. Julia fractal

   python -m fractal julia -0.7102 +0.2698 j --size=500x300 --depth=512 --zoom=0.65 --show
   

   

4. Julia fractal

   python -m fractal julia -0.77777 -0.25 j --size=527x331 --depth=200 --zoom=0.7 --show
   

   

5. Julia fractal

   python -m fractal julia -0.8 +0.156 j --size=400x230 --depth=50 --zoom=0.65 --show
   

   

6. Julia fractal

   python -m fractal julia -0.8 +0.156 j --size=500x300 --depth=512 --zoom=0.6 --show
   

   

7. Julia fractal

   python -m fractal julia -1.037 +0.17 j --size=600x300 --depth=40 --zoom=0.55 --show
   

   

8. Mandelbrot fractal

   python -m fractal mandelbrot --size=300x300 --depth=80 --zoom=1.2 --center=-1x0 --show
   

   

9. Mandelbrot fractal

   python -m fractal mandelbrot --size=400x300 --depth=80 --zoom=2 --center=-1x0 --show
   

   

10. Mandelbrot fractal

    python -m fractal mandelbrot --size=500x500 --depth=256 --zoom=6.5 --center=-1.2x0.35 --show
    

    

11. Mandelbrot fractal

    python -m fractal mandelbrot --size=500x500 --depth=80 --zoom=0.8 --center=-0.75x0 --show
    

    

12. Mandelbrot fractal

    python -m fractal mandelbrot --size=600x600 --depth=256 --zoom=90 --center=-1.255x0.38 --show
    

    

Parameters

Examples above can also be done with a --output fractal.png parameter, which saves the example to a image file, while --show just shows the raster fractal image on the screen (both parameters can be used together). For more help, see:

python -m fractal --help

Which shows all options available. To see all colormaps names available in Matplotlib, see the colormaps on the scipy wiki or type in a Python shell:

[m for m in __import__("pylab").cm.datad if not m.endswith("_r")]

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License is MIT, see COPYING.txt for more details. By Danilo J. S. Bellini