Archimedes' Claw and Carousel - Upgrading Ancient Discoveries

Explore a groundbreaking upgrade to one of Archimedes' greatest discoveries about spheres in this 32-minute video. Delve into the concept of the "Archimedes baggage carousel" and its inside-out animations. Examine the inside-out paraboloid and the significant 3:2 ratio. Investigate the relationship between volume and area, and discover Archimedes' claw. Learn about unfolding the Earth and witness a mesmerizing lotus animation. Gain insights into complex mathematical concepts through visual demonstrations and historical context, including references to Archimedes' original works and modern interpretations by mathematicians like Henry Segerman and Andrew Kepert.

Intro to the baggage carousel
Archimedes baggage carousel
Inside-out animations
Inside-out discussion
Inside-out paraboloid
Ratio 3:2
Volume to area
Archimedes' claw
Unfolding the Earth
Lotus animation
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