The Sierpinski gasket is constructed by starting with an equilateral triangle and using three scaling and two translations. But it is also possible to rotate one or more of the scaled equilateral triangles. The left triangle below shows the standard construction of the Sierpinski gasket. The "L" inside each triangle helps to see the orientation of the three scaled triangles. Now suppose the top (green) triangle is allowed to rotate around its center. Each rotation produces a different iterated function system with a different attractor. Click on the "Play" button to animate the rotation of the top triangle and watch how that affects what happens to the Sierpinski gasket.