https://github.com/yxiao1996/funmath

play with math in free time
https://github.com/yxiao1996/funmath

fourier-transform hilbert-curve mandelbrot math opencv project-euler

Last synced: 11 months ago
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play with math in free time

• Host: GitHub
• URL: https://github.com/yxiao1996/funmath
• Owner: yxiao1996
• Created: 2018-04-05T09:41:13.000Z (almost 8 years ago)
• Default Branch: master
• Last Pushed: 2018-10-23T15:53:15.000Z (over 7 years ago)
• Last Synced: 2025-01-23T07:22:13.389Z (about 1 year ago)
• Topics: fourier-transform, hilbert-curve, mandelbrot, math, opencv, project-euler
• Language: Python
• Homepage:
• Size: 611 KB
• Stars: 3
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: Readme.md

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README

          
# FunMath

* using familiar tools to write visualization for mathmatical objects. Purely for fun.

## Hilbert Curve

* Hilbert Curve (Hilbert space-filling curve)

![hilbert](images/hilbert.png)

## Hausdorff Dimension

* Calculating fractional dimension for 2D images, using box counting method. 

  for example, the following sierpinski triangle has fractional dimension of approximatly 1.58

![sierpinski](images/1024-Sierpinski_triangle.png)

## Mandelbrot Set

* classical fratals

![mandelbrot](images/mandelbrot.png)

## Brachistochron

* Visualizing Johann Bernoulli's solution of Brachistochron using Fermat's Principle

![bernoulli's brachistochron](images/brachistochron.png)

## Discrete Time Fourier Transform

* Visualizing the porcess of rolling data points on unit circle in complex plane, which take

  place in the calculation of discrete time Fourier Transform

![dtft](images/dtft.png)

## Chebyshev Center of a polygon

* Using linear programming to find the Chebyshev center of a polygon(center of the inscribe circle with maximum radius).

![chebyshev](images/chebyshev_center.png)