How to Fill a Klein Bottle - Numberphile

In a 3D world, it's possible to fill 4D Klein Bottles - featuring Cliff Stoll.
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More Klein Bottle videos:

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See our videos with the Pope's Astronomer (and good friend of Cliff) Brother Guy Consolmagno:
SPACE ROCKS

VATICAN TELESCOPES

THE POPE’S ASTRONOMER


Cliff notes:
Cliff advises not to rely on his memory for the volume of a sphere. It's really 4/3 π r^3. Cliff also says that using a tube to break the vapor lock is challenging. Straws (even flexo-straws) kink when bent around narrow hairpin curves. And most flexible tubes (especiallly aquarium air tubing) have high friction against glass, so they're difficult to thread along the curve.

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