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The Chaos Game

Interactive lab: Roll a die a million times and get a perfect triangle.

What is this?

A visual, interactive experiment about The Chaos Game. Its main parameters update live and the simulation runs entirely in the browser.

How it works

A random IFS converges to the same attractor. Sierpiński has dimension log(3)/log(2) ≈ 1.585: more than a line and less than a plane.

Open it →