5. I haven't found any pattern substantially different from this, regardless of the starting configuration. However, a closer look would reveal differences, because in {\it A New Kind of Science}, Wolfram reports that Matthew Cook has proved this CA is capable of universal computation. For example, it is possible to find an initial configuration so at a predetermined generation the state of the auomaton encodes the trillionth decimal digit of pi. This is the simplest CA known to be a universal computer.
Return to Exercise 5.