3blue1brown
3blue1brown
@3blue1brown·8.4M subscribers·238 videos

This pattern breaks, but for a good reason | Moser's circle problem

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July 2, 2023

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YouTube Description

as posted by the channel

An apparent pattern that breaks, and the reason behind it.

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This is 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

Correction at 8:56 - The number of the regions should of course be (1, 2, 3, 4, 5), instead of (0,1,2,3,5)

Thanks to these viewers for their contributions to translations

Arabic: mouhsiiin

French: Jonhfing

Hebrew: Omer Tuchfeld

Hungarian: Fabó Bence

Russian: fedor

Spanish: Paweł Cesar Sanjuan Szklarz

Thai: @korakot

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These animations are largely made using a custom python library, manim. See the FAQ comments here:

You can find code for specific videos and projects here:

Music by Vincent Rubinetti.

Download the music on Bandcamp:

Stream the music on Spotify:

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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

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Guests & Subjects Covered

Reflections CorrectionVincent Rubinetti DownloadBandcamp Stream

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