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

@bloody_albatross @LovingFalloutLondon1954 @rocketsoup his book about that journey is quite nice: The Cuckoo's Egg.
https://www.goodreads.com/book/show/18914012-the-cuckoo-s-egg
@LovingFalloutLondon1954 @rocketsoup When I read this, i felt like the geochemists in the XKCD cartoon (https://xkcd.com/2501). Surely everyone must know about Klein Bottles! 🙂
One leg is completely detached from the rest ...
Yes. It would.
that's an easy question
all you have to do is define the inside and the outside
...
...
😱 😱 😱
Yes

Sorry, but if the jeans have cuffs, I stopped doing that in the 50's... no clothed Klein bottles should ever be stuck in fashion hell unless there's a remake of Grease.
I love Mastodon for this exact kind of humor.
I bet Matt Parker would be into this, and/or Sarah-Marie Belcastro, but definitely have a look at this (Matt and Katie Steckles) from a long time ago

Or maybe Steve Mould and Matt Parker did some stuff here.
Matt is totally into Klein Bottles and topology in general. He may or may not be good at responding to direct questions, however.
Both. At the same time.
Mathematics is not ready for such questions.