How to fill a Klein Bottle — Numberphile

Additional information

In a 3D world, it’s possible to fill 4D Klein Bottles – featuring Cliff Stoll.

More Cliff videos: http://bit.ly/Cliff_Videos

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.