If a Klein bottle could wear pants, would it be like this or like this?

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@rocketsoup this reminds me of my favorite mathexchange question: “why can you turn a shirt inside out” which required a graduate-level topology explanation

https://math.stackexchange.com/a/2771

Why can you turn clothing right-side-out?

My nephew was folding laundry, and turning the occasional shirt right-side-out. I showed him a "trick" where I turned it right-side-out by pulling the whole thing through a sleeve instea...

Mathematics Stack Exchange
@cyp @rocketsoup this strikes me as the kind of thing @gregeganSF would like.