Start with a triangle and a random point inside the triangle. Roll a special three-sided die to choose one of the triangle's corners. Move halfway from your current point to the chosen corner and mark that new point. Repeat steps 2 and 3 many times. After doing this process 50 times, you'll see a bunch of points scattered around, but they won't form a clear shape. After doing it 500 times, you'll start to see a pattern. The points will start to form a triangle shape but with smaller triangles missing. After doing it 5000 times, the pattern becomes very clear. The points will form a special shape called the Sierpinski Gasket. It looks like a triangle, but with smaller triangles missing, and this pattern repeats forever. The Chaos Game shows us that even though we're using randomness to choose the points, they always end up forming the same Sierpinski Gasket shape. This is because of the rules of the game, which tell us how to move from one point to the next. The Sierpinski Gasket is a special shape called a fractal, which means it looks the same no matter how much you zoom in. It's like a shape within a shape within a shape, and it keeps repeating forever