neosymian/pywonderland

A Tour in the Wonderland of Math with Python

A collection of python scripts that aimed at drawing beautiful figures or animating interesting algorithms in mathematics.

This repository will be always under construction as there are too many interesting things in math that can be shown by code.

Contents

• Mandelbrot Set
• Domino Shuffling Algorithm Animation
• Icosahedral Kaleidoscope
• Newton Fractal
• The E8 Pattern
• The Modular Group
• Beauty of Roots
• Generalized Penrose Tilings
• Wilson Algorithm Animation

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Mandelbrot Set

Mandelbrot 集 [View Code]

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Domino Shuffling Algorithm Animation

多米诺洗牌算法 [View Code] [View Gif Animation] [Wiki]

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Icosahedral Kaleidoscope

正二十面体万花筒 [View Code] [View Webm Animation]

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Newton Fractal

Newton 迭代分形 [View Code] [Wiki]

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The E8 Pattern

李代数 E8 的根系 [View Code] [Wiki]

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The Modular Group

模群的基本域 [View Code] [Wiki]

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Beauty of Roots

Littlewood 多项式的根 [View Code] [Origin]

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Generalized Penrose Tilings

彭罗斯铺砌 [View Code] [Wiki]

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Wilson Algorithm Animation

Wilson 算法 [View Code] [Wiki] [Mike Bostock's Javascript Animation]

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Dependencies

Python libs:

• numpy
• matplotlib
• scipy
• cairo
• palettable
• tqdm
• numba
• pyglet

Softwares:

• ImageMagick
• FFmpeg
• POV-Ray