Chaos game - Sierpinski triangle

This is a recreation of a short clip from a long form video showing six different ways to construct the Sierpinski triangle:    • Six Sierpiński Triangle Constructions (vis...  

In this short, we play the chaos game using randomness to find order and create the Sierpinski triangle. Can you explain why this works?

#math #manim #fractal #fractal #sierpinski #chaosgame #chaos #mathshort #visualmath

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Music in this short (a 10 second cut):
When The Lights Go On by Vlad Gluschenko | soundcloud.com/vgl9
Music promoted by www.free-stock-music.com/
Creative Commons Attribution 3.0 Unported License
creativecommons.org/licenses/by/3.0/deed.en_US