Conway’s Game of Life is amazing.  From incredibly simple rules and initial conditions, so many complex and rich patterns emerge.  I decided to write a quick version in processing: Game of Life. 

Also, I found this amazing implementation of a Turing Machine in the Game of Life. I recommend downloading Golly and checking it out.  I knew that on a computational level Life is equivalent to a universal turing machine, but there is something about actually seeing it in action.