Oh, wait, actually the best Wordle opener is not “crane”… @3blue1brown

3Blue1Brown | Oh, wait, actually the best Wordle opener is not “crane”… @3blue1brown | Uploaded 2 years ago | Updated 16 minutes ago
Following up on the Worlde-solver (youtu.be/v68zYyaEmEA), discussing a minor bug and more details about how the best first word was chosen.
Special thanks to these supporters: 3b1b.co/lessons/wordle#thanks
Help fund future projects: patreon.com/3blue1brown
An equally valuable form of support is to simply share the videos.

Contents:
0:00 - The Bug
3:31 - How the best first guess is chosen
8:54 - Does this ruin the game?

Nice post by Jonathan Olson on optimal wordle algorithms:
jonathanolson.net/experiments/optimal-wordle-solutions

More on optimal strategies:
http://sonorouschocolate.com/notes/index.php?title=The_best_strategies_for_Wordle

Code for this video:
github.com/3b1b/videos/tree/master/_2022/wordle

These animations are largely made using a custom python library, manim. See the FAQ comments here:
3blue1brown.com/faq#manim
github.com/3b1b/manim
github.com/ManimCommunity/manim

You can find code for specific videos and projects here:
github.com/3b1b/videos

Music by Vincent Rubinetti.
vincentrubinetti.com

Download the music on Bandcamp:
vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

Stream the music on Spotify:
open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

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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: http://3b1b.co/subscribe

Various social media stuffs:
Website: 3blue1brown.com
Twitter: twitter.com/3blue1brown
Reddit: reddit.com/r/3blue1brown
Instagram: instagram.com/3blue1brown_animations
Patreon: patreon.com/3blue1brown
Facebook: facebook.com/3blue1brown

$Fractals are typically not self-similar An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers Home page: https://www.3blue1brown.com/ One technical note: Its possible to have fractals with an integer dimension. The example to have in mind is some *very* rough curve, which just so happens to achieve roughness level exactly 2. Slightly rough might be around 1.1-dimension; quite rough could be 1.5; but a very rough curve could get up to 2.0 (or more). A classic example of this is the boundary of the Mandelbrot set. The Sierpinski pyramid also has dimension 2 (try computing it!). The proper definition of a fractal, at least as Mandelbrot wrote it, is a shape whose Hausdorff dimension is greater than its topological dimension. Hausdorff dimension is similar to the box-counting one I showed in this video, in some sense counting using balls instead of boxes, and it coincides with box-counting dimension in many cases. But its more general, at the cost of being a bit harder to describe. Topological dimension is something thats always an integer, wherein (loosely speaking) curve-ish things are 1-dimensional, surface-ish things are two-dimensional, etc. For example, a Koch Curve has topological dimension 1, and Hausdorff dimension 1.262. A rough surface might have topological dimension 2, but fractal dimension 2.3. And if a curve with topological dimension 1 has a Hausdorff dimension that *happens* to be exactly 2, or 3, or 4, etc., it would be considered a fractal, even though its fractal dimension is an integer. See Mandelbrots book The Fractal Geometry of Nature for the full details and more examples. Music by Vince Rubinetti: https://soundcloud.com/vincerubinetti/riemann-zeta-function Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld 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 about new videos, subscribe, and click the bell to receive notifications (if youre into that). If you are new to this channel and want to see more, a good place to start is this playlist: https://www.youtube.com/playlist?list=PLZHQObOWTQDPHP40bzkb0TKLRPwQGAoC- Various social media stuffs: Twitter: https://twitter.com/3Blue1Brown Facebook: https://www.facebook.com/3blue1brown/ Reddit: https://www.reddit.com/r/3Blue1Brown$

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