How to Fill a Klein Bottle - Numberphile

In a 3D world, it's possible to fill 4D Klein Bottles - featuring Cliff Stoll.
More Cliff videos: http://bit.ly/Cliff_Videos
More links & stuff in full description below ↓↓↓

More Klein Bottle videos: http://bit.ly/KleinBottles

You can buy a bottle from Cliff: https://www.kleinbottle.com

See our videos with the Pope's Astronomer (and good friend of Cliff) Brother Guy Consolmagno:
SPACE ROCKS
https://youtu.be/5OI4wb2XIZc
VATICAN TELESCOPES
https://youtu.be/ccoGKAL6Qas
THE POPE’S ASTRONOMER
https://youtu.be/Z0DAKaR16cY

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 (especially aquarium air tubing) have high friction against glass, so they're difficult to thread along the curve.

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And support from Math For America - https://www.mathforamerica.org/

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Видео How to Fill a Klein Bottle - Numberphile канала Numberphile