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Most likely Beyond Chess'(tm) moving squares(1) force unboundedness,
because unlimited the sequences of moves.  Once having modality of moving
squares, then new Rules-types(2) are also unlimited, as one of its
subsets, piece-move definitions(3), would then be.  So, there probably
become infinite ways to move Rook, Bishop, Knight, at least in combination
with just one other helpful Mutator like Beyond Chess'. Still to be
decided is whether one inclusive systematic definition of, say, Rook's
movement, without another Mutator and with same board size, could be
infinite.  We use up to 32 Mutators at once at '91.5 Trillion...',
exceeded by only few other (convoluted) games like Ralph Betza's
Nemeroth. The goal eventually, in understanding so-called
''inventing'' and concatenating Rules to fancy, should be to divest
99.9999% of them more systematically than mere popularity.