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by arunchaganty 1641 days ago
The chaos game is one of my favorite things! I first came across it nearly 15 years ago from James Gleick's excellent book Chaos and in fact I learned how to program so that I could actually implement the chaos game.

After spending many years idly reflecting on why the chaos game converged to the Sierpinski triangle, I'd like to share an illustrated proof of mine that might be enjoyed by this audience: https://arun.chagantys.org/technical/2020/04/28/chaos-game.h...