Assign the numbers 1, 2, and 3 to each point of an equilateral triangle. If you choose one of those points at random and go halfway between that point and your current location, what pattern will eventually form? (The title of this simulation gives it away.) Sierpinski's Triangle is a fractal - a pattern that repeats itself on a smaller and smaller level until it's infinitely small. Here you'll notice a "triforce" form out of dots, but each triforce is made of a smaller triforce! Isn't math beautiful? Hit the green flag and give it 5 or 10 minutes. Come back and see a fractal form before your very eyes!
