Sierpiński × Powerball
The chaos game: drop a point, pick a random vertex, hop partway toward it, plot where you land, repeat forever. Three-vertex version builds the classic Sierpiński triangle. Five vertices from a Powerball draw build something no one has ever seen before — a fractal unique to that night's numbers.
How it works
The setup. The five white balls from the latest draw are placed on a 69-position clock (ball 1 at the top, ball 69 just counter-clockwise of the top). The starting point is the center of the canvas.
The loop. Pick one of the five vertices at random. Move a fixed ratioof the way from the current point toward that vertex and plot a pixel there. Repeat tens of thousands of times. The first 30 iterations are discarded as “burn-in” so the starting point doesn't influence the attractor.
The ratio slider.Ratio controls whether the attractor is a crisp self-similar fractal or a filled blob. Near 0.30 the points can't reach toward other vertices — the attractor splits into five disconnected islands. Near 0.50 each hop is halfway, so the attractor fills the polygon densely. The in-between settings are where the pentafractal geometry lives.
Every draw produces a different attractor because the vertex positions depend on which five numbers got picked. This has exactly zero predictive value — it's a visualization of the deterministic fractal each random draw happens to encode. Tonight's fractal is, in a real sense, a unique fingerprint of a random event.