https://github.com/oovm/polynomial-roots-fractal

Littlewood Polynomial Fractal
https://github.com/oovm/polynomial-roots-fractal

art fractal fractal-images polynomial

Last synced: about 1 month ago
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Littlewood Polynomial Fractal

• Host: GitHub
• URL: https://github.com/oovm/polynomial-roots-fractal
• Owner: oovm
• License: mpl-2.0
• Created: 2020-11-08T06:40:42.000Z (about 4 years ago)
• Default Branch: master
• Last Pushed: 2024-06-19T04:30:20.000Z (7 months ago)
• Last Synced: 2024-06-19T11:59:12.146Z (7 months ago)
• Topics: art, fractal, fractal-images, polynomial
• Language: Mathematica
• Homepage:
• Size: 9.88 MB
• Stars: 7
• Watchers: 1
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: Readme.md
  • License: License.md

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README

        
Polynomial Roots Fractal

========================

For roots of 24th degree polynomial there are 402,653,184 roots, and it takes 37min + 9.75G to run. 

## Results

### Roots of 24th degree polynomial

![](https://math.ucr.edu/home/baez/roots/polynomial_roots.png)

### Roots of 20th degree polynomial with avocado colors

![](./projects/roots17-20/roots-avocado.png)

### Roots of 20th degree polynomial with gray tones

![](./projects/roots17-20/roots-gray-tones.png)

## Reference

- [Littlewood Polynomial](https://en.wikipedia.org/wiki/Littlewood_polynomial)

- [The Beauty of Roots](https://johncarlosbaez.wordpress.com/2011/12/11/the-beauty-of-roots/)

- [The Beauty of Roots(2)](https://johncarlosbaez.wordpress.com/2012/01/07/the-beauty-of-roots-part-2/)

- https://math.ucr.edu/home/baez/roots/