irasanborn / pywonderland

Render beautiful images or animate interesting algorithms in mathematics with Python.

A Tour in the Wonderland of Math with Python

A collection of python scripts for drawing beautiful figures or animating interesting algorithms in mathematics.

This repository will be always under construction since there are too many interesting things in math that can be shown by code. Pull requests, issues, questions, and suggestions are all welcomed!

Contents

• Mandelbrot Set
• Julia Set
• Domino Shuffling Algorithm Animation
• Icosahedral Kaleidoscope
• Newton Fractal
• The E8 Pattern
• The Modular Group
• Generalized Penrose Tilings
• Wilson's Uniform Spanning Tree Algorithm Animation
• Reaction-Diffusion Simulation
• The 120-cell
• Lorenz Attractor Animation
• 2D Hyperbolic Tilings
• 3D Hyperbolic Honeycombs

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Mandelbrot Set

Mandelbrot 集 [Code]

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Julia Set

Julia 集 [Code]

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Domino Shuffling Algorithm Animation

多米诺洗牌算法 [Code] [Doc]

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Icosahedral Kaleidoscope

正二十面体万花筒 [Code] [Video]

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Newton Fractal

Newton 迭代分形 [Code] [Wiki]

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The E8 Pattern

李代数 E8 的根系 [Code] [Wiki]

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The Modular Group

模群的基本域 [Code] [Wiki]

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Generalized Penrose Tilings

彭罗斯铺砌 [Code] [Doc]

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Wilson's Uniform Spanning Tree Algorithm Animation

Wilson 一致生成树算法 [Code] [Doc]

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Reaction-Diffusion Simulation

反应扩散方程模拟 [Code] [Doc] [Video] [Video with Text]

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The 120-cell

120 胞腔 [Code][Wiki]

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Lorenz Attractor Animation

洛伦兹吸引子动画 [Code][Video]

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2D Hyperbolic Tilings

Poincare 双曲铺砌 [Code]

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3D Hyperbolic Honeycombs

双曲蜂巢 [Code]

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Dependencies

Python libs:

numpy, matplotlib, scipy, cairo, palettable, tqdm, numba, pyglet, vapory

Softwares:

ImageMagick, FFmpeg, POV-Ray