https://github.com/apidcloud/chaos-game

Chaos Game to visualise Sierpinski triangle using Plotly
https://github.com/apidcloud/chaos-game

Last synced: 5 months ago
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Chaos Game to visualise Sierpinski triangle using Plotly

• Host: GitHub
• URL: https://github.com/apidcloud/chaos-game
• Owner: Apidcloud
• License: mit
• Created: 2021-04-01T23:35:01.000Z (about 5 years ago)
• Default Branch: master
• Last Pushed: 2021-04-04T19:07:07.000Z (about 5 years ago)
• Last Synced: 2025-02-01T16:48:44.692Z (over 1 year ago)
• Language: HTML
• Size: 7.94 MB
• Stars: 0
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# Chaos Game

![with-coffee](https://img.shields.io/badge/made%20with-%E2%98%95%EF%B8%8F%20coffee-yellow.svg)

![with-water](https://img.shields.io/badge/made%20with-%F0%9F%92%A7%20water-blue.svg)

![with-love](https://img.shields.io/badge/made%20with-%F0%9F%92%8C-red.svg)

This project generates different fractals with the Chaos Game, through the use of Plotly. For instance, Sierpinski triangle, can be generated by starting with 3 vertices (V1, V2, V3), and a (pseudo-)random starting point within the boundaries of the triangle made with said vertices. In each iteration, a vertex is chosen (pseudo-)randomly. A new point (n) is then created and directed to the chosen vertex and placed at half the distance between the chosen vertex and the last added point (n-1). After a few hundred iterations, the silhouette of the Sierpinsky triangle starts to appear. With some more rules and different distances, other fractals are achieved (see examples below).

[Live Demo](https://apidcloud.github.io/chaos-game/)