The Mobius Strip is Not Orientable
We say a manifold is orientable if there's no way to travel around it and end up back where you started but flipped. Most manifolds are orientable, but there are certain manifolds that aren't. I made this animation for an article about the Generalized Stokes' Theorem because the Generalized Stokes' Theorem only works for orientable manifolds. You can see more info about the context in the article below.
https://joseph-mellor1999.medium.com/...
Also, I have a ko-fi that you can donate to here: https://ko-fi.com/josephmellor
The songs used are in the captions for American English. There's nothing else there.
Anyway, I want to make a full video about why the Mobius strip is not orientable because that would be cool. It might even be my SoME 3 video. I think I'd rather do something with why you'd care about Topology though.