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The absurd circle division pattern explained | Moser's circle problem
- Published_at:2023-07-02
- Category:Education
- Channel:3Blue1Brown
- tags: Mathematics three blue one brown 3 blue 1 brown 3b1b 3brown1blue 3 brown 1 blue three brown one blue
- description: An apparent pattern that breaks, and the reason behind it. Summer of math exposition: https://3blue1brown.substack.com/p/some3-begins Learn more at https://some.3b1b.co/ Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share the videos. For the long-time viewers among you, if this sounds familiar, it's because it's a remake of one of the earliest videos on the channel. It's such a wonderful problem, and the audio/pacing in earlier videos was really suboptimal, so I wanted to freshen it up a little here. Timestamps 0:00 - The pattern 2:20 - Counting chords 4:03 - Counting intersection points 6:20 - Euler's characteristic formula 11:30 - Connection with Pascal's triangle 15:10 - Reflections 15:55 - SoME3 ------------------ These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown
| ranked in date | views | likes | Comments | ranked in country (#position) |
|---|---|---|---|---|
| 2023-07-03 | 169,049 | 12,714 | 586 |
( ,#29)
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