That would look good next to my Utah Teapot 🤔🙂👍
@lcamtuf Ordered!
The check-out page asked for the number of dimensions in my universe. I had to guess, I hope 6.022E23 is close enough.
@lcamtuf Oh gosh, he is so wonderful. I used to give out Klein bottles to people who left for other jobs or to go back to teaching at uni at a place I used to work at maaaany years ago.
At first he thought due to the number of orders I was replacing broken ones so I had to assure him they were all fine as far as I knew. 😄
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Edit: I wasn't exactly rolling in dough then--not that I am now either I suppose--so they went to people I knew well enough or were in my group not the entire company.
@lcamtuf OMG this is the same Cliff Stoll who in the 1980s tracked down a hacker who was trying to get access to US military computers! His book about the experience (“The Cuckoo’s Egg”) is a great read even today.
@bashae Mobius strip is a two-dimensional surface, but you can only "realize" it in three dimensions by twisting the strip. If you tried to make it in 2D, it would have a portion that self-intersects.
Klein bottle is a three-dimensional surface, but you can only "realize" it in four dimensions by temporarily taking the neck out of our three dimensions so that it can pass the body unimpeded. So yeah, any 3D implementation we can build is self-intersecting and thus not real.