Kogasa

R^(3) specifically

Did they teach you how to formulate thought experiments in the shop?

Yeah, basic graduate level math is a lot more useful than whatever you do with your life to warrant such an attitude.

Specifically, the thing that exists is a regular homotopy of immersions from the standard embedding to its opposite. The “rules” aren’t supposed to be self evident, they’re part of a broader context in topology

The eigenvalues of a diagonal matrix are the values on the diagonal. Diagonalizable matrices’ eigenvalues can be determined by diagonalizing them and looking at the entries on the diagonal.

It’s interesting because it’s highly counter-intuitive that such a thing is possible. It’s not supposed to be useful except as an example of a false intuition, which can remind us to be careful in our reasoning.

Somehow I doubt hips and wheelchairs are among the top offenders