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

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.