Sierpiński Triangles (& other Shapes) - order from chaos Click the Green flag to draw the first set of shapes (Sierpiński Triangles initially), drawn by an apparently chaotic algorithm: Pick a random spot on the Stage and draw a spot there. Then go half way towards one of spots marked by the three Balls (picked at random) and draw another spot there, and keep on doing it over and over again. The result is, surprisingly, order out of that chaos. After that you can drag the Balls to different spots to draw a slightly different set of shapes, which are Sierpiński Triangles, if #Balls = 3. You can change the Draw Speed or #Balls any time.