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This is Numberphile. We mainly post videos about mathematics and just numbers in general.

How to fill a Klein Bottle

How to fill a Klein Bottle

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.

Random Fibonacci Numbers

Random Fibonacci Numbers

The 17-Klein Bottle

The 17-Klein Bottle