The Chaos Game

The Chaos Game is an exciting process that creates intricate, fractal patterns through simple, repetitive steps. Starting with a shape like a triangle, you randomly select one of its corners, then move halfway toward that corner from your current position. Repeat this process—choosing a corner at random and stepping halfway toward it—many times. Over time, a complex, self-similar pattern emerges, such as the famous Sierpinski triangle. The game demonstrates how simple rules and randomness can produce unexpected and beautiful structures, illustrating principles of chaos theory and fractal geometry.