Good idea. Although, from the little exploration I did with examples for small n, given the low stopping times, the behaviour was very boring. Nothing necessarily interesting. But then again, I didn't explore it exhaustively.
> Good idea. Although, from the little exploration I did with examples for small n, given the low stopping times, the behaviour was very boring. Nothing necessarily interesting. But then again, I didn't explore it exhaustively.
Warning: huge amounts of compute time have been spent trying to find a counter example to this conjecture, which almost everyone believes is true. I kept my office warm this way one winter. It has been described as a way to turn pure Platonic mathematics into heat.
Always interesting to try to visualize something though.
Ps -- I implemented hashlife one time. Still amazed someone came up with that algorithm
Perhaps you're already aware of it, but this paper by Andreas Weber and Francisco Varela "Life after Kant: Natural purposes and the autopoietic foundations of biological individuality" talks about this. Of special interest is the section 3.4 which more or less summarizes autopoiesis while taking into account Kant's intrinsic teleology.
