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Levy Curve from the Chaos Game

Chaos

Chaos game

Ifs

Iterated function system

Manim

Math

Fractal

Levy curve

Dragon curve

Linear algebra

Transformation

Автор: Mathematical Visual Proofs

Загружено: 22 апр. 2024 г.

Просмотров: 532 480 просмотров

Описание:

In this video, we show how to use a random process of iteratively applying two linear transformations in the real plane to generate fractal curve known as the Lévy Dragon. What happens if you do something similar with different affine linear transformations?

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!

Check out these videos for related constructions:
   • Mandelbrot Quintet Fractal (a 5 rep-t...  
   • Chaos Game in a Hexagon  

This animation was inspired by an article written by Larry Riddle that appeared in the the November 2016 issue of Math Horizons:
https://doi.org/10.4169/mathhorizons....

See more here (https://larryriddle.agnesscott.org/sy...) and on his website: https://larryriddle.agnesscott.org/if...

#chaos #chaosgame #levy #levydragon #mathvideo​ #math​ #mtbos​ #manim​ #animation​ #theorem​​​ #iteachmath #mathematics #dynamicalsystems #iteratedfunctionsystem #dynamics #fractals

To learn more about animating with manim, check out:
https://manim.community

Levy Curve from the Chaos Game

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