I can’t comprehend it
In: Mathematics
It’s kind of the 3D version of a Mobius strip.
A Mobius strip is 2D in the sense that it’s a flat surface and if you’re *on* the strip you can go as far forward/backward as you like (along the strip) and cover the entire surface (both sides) but there’s an edge to the left or right you can’t cross. You can keep going forward forever because the strip curves around in 3D to rejoin itself.
The Klein bottle is a 3D shape that curves around in 4D to rejoin itself. There’s a 3D version (you can buy them, they’re fun, I personally love Acme Klein Bottle [https://www.kleinbottle.com/](https://www.kleinbottle.com/)). As you can see, in 3D the bottle passes through its own surface, which kind of feels like cheating…because we can’t do 4D in our 3D universe. If you could do 4D, which mathematicians can, the bottle would have all the same properties but wouldn’t intersect itself.
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