Levy Curve from the Chaos Game

Опубликовано: 22 Апрель 2024
на канале: Mathematical Visual Proofs
446,127
38k

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


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