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.
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/
And support from Math For America - https://www.mathforamerica.org/
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