I find Game of Life utterly fascinating. Every time I read about it, I find myself wanting to understand more of the memephere surrounding it. One question that arises in me here:
> What makes this an elementary knightship is that it isn't built out of smaller discrete components
How is that determined?
In other words, can't you take small components, smash them together to get a bigger thing, and then pass it off as elementary?
Don't we need to "reverse the hash function" to determine if it's possible to make Sir Robin (that's what thing thing is going to be called) out of smaller things?
Or is it possible to prove for a given larger object that it can't possibly be the result of smaller things combining?
> What makes this an elementary knightship is that it isn't built out of smaller discrete components
How is that determined?
In other words, can't you take small components, smash them together to get a bigger thing, and then pass it off as elementary?
Don't we need to "reverse the hash function" to determine if it's possible to make Sir Robin (that's what thing thing is going to be called) out of smaller things?
Or is it possible to prove for a given larger object that it can't possibly be the result of smaller things combining?