chaos games

The chaos game is a method for creating complex, often beautiful patterns by repeatedly plotting points based on simple rules. It typically involves selecting a starting point and then randomly moving halfway towards a randomly chosen corner of a shape, like a triangle. Repeating this process generates intricate fractal designs, such as the Sierpinski triangle. Despite the randomness, the result reveals an underlying order and symmetry, illustrating how simple rules can produce complex, self-similar structures through iterative processes.