associahedron... generalized associativity as something about connectedness of associahedron 1-skeletons or something?? ... and so forth... ??degrees of "partial generalized associativity" (case of single n-tuple vs entire binary operation???...??...), maybe trying to understand them in terms of associahedron combinatorics... and so forth... ???... ??to some extent belaboring the problem that i always had with "generalized associativity", that the trick is less how to prove it than how to state it... or something... ??....
??something about trying to develop exact formula for catalan numbers ... hmmm... ??...
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