RE: https://kolektiva.social/@emsenn/116242321217021127

this video shows what happens if you set up a very specific version of an already kind of weird math thing called a "commutative square"

you end up with this, as far as I can tell, this structure that doesn't exist elsewhere in math, but would be called a Beck-Chevalley tower,

where the square does a, well, a kind of "square dance" (pun unfortunate and unintended), and the last step of the first move becomes the first step of the next move,

and you end up with a pentagonal square with three sides (yes), a hyperspatial object,

that is what is being shown in this video

Huey Lewis & The News - Hip To Be Square

YouTube
'Hip to Be Square' Scene | American Psycho

YouTube