[David Lambert](https://forum.azimuthproject.org/profile/2401/David%20Lambert),

Great job David!

I believe this is exactly what John was driving at in his comment [#60](https://forum.azimuthproject.org/discussion/comment/18946/#Comment_18946).

I am not sure, but I suspect if we want to have different "initial conditions" rather than just the vector \$$\langle 1,0,0,0,\cdots \rangle\$$ we need to have a two pointed graph. This is reflected in our answers to **Puzzle 104**.