About
The Sierpiński triangle via the chaos game: pick a random vertex, move halfway there, plot the point. Repeat. Three affine contractions (f_1, f_2, f_3 each scaling by ½ toward a vertex) form the IFS. Their attractor — the unique compact set satisfying A = f_1(A)∪f_2(A)∪f_3(A) — is the Sierpiński triangle. Fractal dimension: log(3)/log(2) ≈ 1.585. The "chaos" here is purely constructive — the orbit of any starting point converges to the attractor after a few steps.