The Hairy Ball Theorem

Описание: Unexpected applications and a beautiful proof.
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Home page: https://www.3blue1brown.com

Credits:
Senia Sheydvasser: Co-writing and sphere deformation animations
Paul Dancstep: Those lovely fluffy sphere animations
Vince Rubinetti: Music

Timestamps:
0:00 - To comb a hairy ball
1:24 - Applications
8:46 - The puzzle of one null point
12:12 - The proof outline
16:41 - Defining orientation
21:44 - Why inside-out is impossible
25:59 - 3b1b Talent
27:44 - Final food for thought

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These animations are largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim

Music by Vincent Rubinetti.
https://vincerubinetti.bandcamp.com/a...
https://open.spotify.com/album/1dVyjw...

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