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I don't know anything regarding the extent to which the parameters have been extended into generalized rules. I am sure plenty of work has been done, however. It is a rabbit-hole to be sure. This is worth checking out: EDIT: This related blog post was posted in a comment on HN: https://niginsblog.wordpress.com/2016/03/07/new-spaceship-speed-in-conways-game-of-life/In this instance, there is a certain set of initial conditions that yield a propagation speed of c/10, or something, given the game's parameters?