Iterated Function Systems — chaos game plots millions of points to reveal fractal geometry.
Points: 0
Iterated Function Systems: A set of contractive affine transformations {f₁, f₂, ..., fₙ} each with probability pᵢ. Start at any point, randomly pick a transformation and apply it — repeat millions of times. The resulting point cloud converges to the unique attractor (Hausdorff metric is complete; Banach fixed-point theorem guarantees the attractor exists).
Color encodes which transformation was most recently applied — creating the "flame" appearance.