A good example of symmetry in the randomness is according to me a Sierpinski gasket...


  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.
  5. Repeat from step 3.

I our computer graphics lab, we need to generate a Sierpinski gasket using the above method, it is also called as random point generation method.

http://en.wikipedia.org/wiki/Sierpinski_triangle