Solving Wordle using information theory
Video Overview & Insights
An excuse to teach a lesson on information theory and entropy.
Look cool!
Translation?...
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Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks
who needs crane when you have squaw and vomit (genuinely my strat)
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Contents:
my opening is beach and group
0:00 - What is Wordle?
2:43 - Initial ideas
My opener is "Urine" its covers enough unique letters and a bunch of vowels 1 of them being the most common one.
8:04 - Information theory basics
18:15 - Incorporating word frequencies
Interesting
27:49 - Final performance
Original wordle site:
I read yordle instead of wordle and thougth it was about tft
https://www.powerlanguage.co.uk/wordle/
Music by Vincent Rubinetti.
https://www.vincentrubinetti.com/
Shannon and von Neumann artwork by Kurt Bruns.
Is this what became the Wordle AI now?
https://www.instagram.com/p/CZpRKhMJnD6/
Code for this video:
at 7:35, are we not acknowledging words with repeating letters? Worry can be a possibility...
https://github.com/3b1b/videos/tree/master/_2022/wordle
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
thanls
https://github.com/ManimCommunity/manim/
You can find code for specific videos and projects here:
https://github.com/3b1b/videos/
Thanks to these viewers for their contributions to translations
yes the position of the S matters in SNAIL vs NAILS, S is less common on the end in wordle which is why SLATE is better than LEAST additionally E being the ending letter is most common
German: Thadaeus, styrix560, wolfsgier
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I do wordle everyday with friends, and our openers are CREAM and LOUIS to get all vowels, and we go from there
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where was this in my first semester
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i use AZURE and SOILY hahshah
More User Perspectives
I always start with negus
@hust_sami_slaveBest starter word is adieu
@MarcusTianAnother good opening would be "audio," as it uses 4 out of 5 vowels in a single word.
@SpodenYou appear to have decided at some point how much you are going to do what conventional players would call cheating. Personally I think that line in the sand is arbitrarily placed by the player somewhere in the region of what they know how to do. The way of bypassing most difficulties is merely to determine how the program chooses today's word. I have done that and it's also the least interesting solution even though it is the most optimal in terms of number of guesses: I can always get the answer on my first try until they change the formula. The more interesting solutions impose limits on what you are permitted to learn about the system. For me knowing both dictionaries is the "optimal" solution for generating the most valuable computational method. This method also means you don't need to think up some heuristic about favouring common words because you already know all possible solutions from the program code.
@vapourmile4 year ago is crazy
@killer9214X서울대 컴공 화이팅
@limjinseothis is just goonbait
@ZaraKijbhordI always start with ‘Louis,’ and if none of those are correct, I follow with the word ‘ready
@zaidia548918:40 These are the most common 5 lettered words in the english lagnguage.
THESE is the 8th most common.
1st is WHICH after which there is THEIR and THERE. FIRST itself is not 1st but 9th... where those after FIRST are AFTER WHERE and THOSE being just a bit less common
WHO THE HELL SCRIPTED THIS??
I made a version on this for some game i was playing that gave me some game money for doing wordle faster
I manually kept playing games until i git all the 100 words in its word list
They didnt have a check for if it was a real word so i got it down to about 54% for a two guess solve :)
my opening is choux, pinky, slate
@rweg-x6z5:35 i i play a game of wordle and get wigga
@ethangames51893:25 probably not because wordle doesn't have any plural words so there is probably less words that end with an s than start with an s
@sillyboy77777Grant Sanderson, I have an interesting question that is related to this video: so have you do a similar procedure but with all (or at the least ones that (have previously) existed since early 2000s) 6-letter words, 7-letter words and so on, a fairly similar algorithm for choosing its choice(fo❤r what its thinking)? Have you thought about it? I just thought about earlier this month/week. That would be an interesting (homework) problem. Lucas ❤ 3b1b. Always keeps us and yourself curious about math(and some other fun subjects)! :) 🔵🔵🔵🟤
@LucasWilber-i2c6:02 omg, "Can I get a wahoo?"
@lucifers_duck_2402just do the words: Waltz, Gymps, Vibex, Fjord and Chunk. If you do that all letters have been used except for q and almost all the time "Q" is not used. :))))
@axeljansson5892my go to is 5 different words and i stop after i get all the letters, glent, brick, jumpy, vozhd, waqfs.
@Iridescent-0211today's wordle was WEAVE. I got it in 4 tries :/
@averyzhao4767.92 is not the maximum because four greens and one yellow is impossible
@deepak2205:13 BOTTOM OF THE 7TH COLUMN PLANET ZYGON
@brickyt57115:37 wigga
@yourmother31082:02 why isn't shady an option?
@хехехьi always open with audio. some say its cheating but i say its efficient
@KatalinaDressingi still start with horse, just bc it would be funny the day i get it in 1 try its horse
@deanvanzelst5011My favorite starter is ALIEN, 3 vowels, has I and E
@rigelstarz60328:05 the answer to this 6 letter wordle is "boring". it's the only word that fits. does this mean 3b1b thinks information theory's basics are boring?
@MC567723:55, welp........
@nirmalsrikanth1863I paused the video randomly and saw the word mungo, and i did this stupid run
.
Mungo bbyby
Xoana bybyb
Snoep gygbb
Sworn ggggg
Sure why not
@thelifeofpablito5003i love the "whos on first" style thing 18:38
@imdarttThere is something important I think is missing in the explanation. Why is (1/2)^I = p at 9:15 . I understand that 1 bit of information reduces the number of possibilities to 1/2 of it. But how does probability come into the picture here?
@CsyroxXxI lwk just start with
"Gnome"
"Darts"
and "Flick"