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The chaos game is an iterated function system (IFS). Despite being random, the orbit of any starting point (after a few initial steps) lies exactly on the attractor — the Sierpiński triangle.
Pick a random point. Repeatedly jump halfway toward a randomly chosen vertex. The fractal emerges from pure randomness.
The chaos game is an iterated function system (IFS). Despite being random, the orbit of any starting point (after a few initial steps) lies exactly on the attractor — the Sierpiński triangle.