From http://en.wikipedia.org/wiki/Sierpinski_triangle - "The Sierpinski triangle is a fractal named after the Polish mathematician Wacław Sierpiński who described it in 1915. Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e. it is a mathematically generated pattern that can be reproducible at any magnification or reduction. Directions: 1. Take 3 points in a plane to form a triangle, you need not draw it. 2. Randomly select any point inside the triangle. 3. Move half the distance from that point to any of the 3 vertex points. 4. Plot the current position. Repeat from step 3. Note: This method is also called the Chaos game. You can start from any point outside or inside the triangle, and it would eventually form the Sierpinski Gasket with a few leftover points. It is interesting to do this with pencil and paper. A brief outline is formed after placing approximately one hundred points, and detail begins to appear after a few hundred. Hit the clear button to start over again.
