Like a Möbius strip, a Klein bottle is a non-orientable surface—that is, if you traveled all the way around it, you'd end up where you started but flipped upside down. As strange as it looks, non-orientable surfaces get even stranger. Learn about superbottles—and super-duper bottles—in the video below.
The Super Bottle
Professor Carlo Séquin explains principles of topology through bizarre shapes. (If you'd rather jump straight to the superbottle, it starts at 7:24).
Putting A Rubik's Cube In A Klein Bottle
It's easier than it looks.
Impossible Motion In 3D Shapes
These movements don't seem possible...until you see them from another angle.
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