Simon’s version of John Conway’s famous Game of Life, a cellular automaton zero-player game whose evolution follows certain simple rules and mainly depends on its initial conditions. Cellular automata-like models have often been addressed as models of life or even models of spacetime, as in Stephen Wolfram’s latest Project to Find The Fundamental Theory of Physics. Simon explains:

Not all CAs are Turing complete though. Conway’s Game of Life can also be viewed as a universal Turing machine, this has some cool consequences. For example, you can build a computer or even The Game of Life itself in The Game of Life!