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Wow, this is a really long post! Probably will take me quite some time to digest...
There are a lot of pictures though, hopefully that helps.
This is really nice; does this mean that we now have definite lower and upper bounds on the rule complexity of the laws of physics?
Yes, the upper bound is 587, the lower bound is 13, although establishing the lower bound involved a lot of manual looking at pictures, it would be better to automate that to make sure I did not miss anything.
