[kfse]

All this would be way more interesting if it actually helped to demonstrate a novel mathematical fact. Right now it's more like notational play.

[sixo]

I read this kind of essay as a certain part of the arc by which new thoughts are formed: an act of large-scale pattern matching, laying out a bunch of cases which resemble each other, searching for the essential basis of the resemblance.

To post such a pattern allows the thought process to become distributed. Perhaps someone else will see the insight.