5/ Percolation: I tend to think of some dynamical systems (like
spin-glasses) as naturally moving toward a static end-state where every cell
is frozen (e.g up or down, black or white). (This is generally a good
property for go games to have too.) But some systems just keep going. As you
bring water to a boil, first you get tiny bubbles too widely spread to
intact; later they start to merge; there is an edge of chaos/complexity
region; and then you wind up with a chaotic boiling mess.
If you removed any go rules against suicide or eye filling and made
passing illegal (any empty space is legal-although it might be suicide),
then a playout game would boil away forever. Just what my go engine needs ;)
By tuning the playout rules, you might get different scaling effects.
I wonder if a large board would ever boil away to a single stone.
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