Ah, maybe I made my claim unclear. So my claim is that the 3 vertices are the institutions (ETA, Ennet House, the Wheelchair Assassins), not plots. I agree that IJ is kind of plotless, and that to me is what the voids in the Sierpinski Gasket could represent, but this article was more about the two-ways-to-construct-the-triangle thing.

But I like your vertices (family, education, and society).

You're making me think that there's something to the fact that you could 'seed' the Gasket with different vertices as well. Something I learn when re-reading is that you can bring so many interpretations and perspectives to this novel and still come out with an entertaining and valid experience of it. In that respect, I like the idea that you can use different triplets to seed the Gasket!

You're correct that we can't lean fully on the Sierpinski idea. Wallace mentions in his interview that after those edits, the book became more like a 'lopsided' Sierpinski Gasket "it looks basically like a pyramid on acid" (https://www.kcrw.com/shows/bookworm/stories/david-foster-wal...).

Separate from the Gasket thing, but I like your point about the footnotes. I wish people spent more time on those. I've heard commentary on the structure of those. Some folks talk about the 'self referentiality', as text (obviously) references footnotes, and there are even instances of footnotes referencing the main text! I've also heard that the back-and-forth emulates the back-and-forth in a tennis match, although that one seems less interesting.

Edits: fixed spelling mistakes Edit: I added your 3 vertices idea and the fact you can invert the 3 vertices to the post, thank you! I attributed back to this thread.