Can you solve the Alice in Wonderland riddle? - Alex Gendler

Practice more problem-solving at brilliant.org/TedEd/
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After many adventures in Wonderland, Alice has once again found herself in the court of the temperamental Queen of Hearts. She’s about to pass through the garden undetected, when she overhears the king and queen arguing that 64 is the same as 65. Can Alice prove the queen wrong and escape unscathed? Alex Gendler shows how.
Lesson by Alex Gendler, directed by Artrake Studio.
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Пікірлер: 1 800

  • @TEDEd
    @TEDEd3 жыл бұрын

    Visit brilliant.org/TedEd/ to check out Brilliant’s 60+ courses in math, logic, science, and computer science. They feature storytelling, code-writing, interactive challenges, and plenty of puzzles for you to solve. And as an added bonus, the first 833 of you to use that link will receive 20% off the annual premium subscription fee.

  • @Hacksolotl

    @Hacksolotl

    3 жыл бұрын

    :)

  • @pvvineet1722

    @pvvineet1722

    3 жыл бұрын

    This was a fascinating riddle.... But i had once read about Fibonacci sequence in Dan Brown's Da Vinci Code and decided to dig deeper... And because of that, i knew the answer right away.

  • @kurzgecat1232

    @kurzgecat1232

    3 жыл бұрын

    nice riddle

  • @icto8624

    @icto8624

    3 жыл бұрын

    Sure!!

  • @mohammedfawzikharroub8482

    @mohammedfawzikharroub8482

    3 жыл бұрын

    what's so special about 833

  • @Sumirevins
    @Sumirevins3 жыл бұрын

    "Answer the Riddle or you die" Me: Guess I'll die

  • @herobrine1847

    @herobrine1847

    3 жыл бұрын

    Yes finally

  • @captaincheese4511

    @captaincheese4511

    3 жыл бұрын

    I'll die too

  • @majoan8178

    @majoan8178

    3 жыл бұрын

    🤣🤣🤣

  • @tikaynico9073

    @tikaynico9073

    3 жыл бұрын

    Plot twist: just answer it whether its right or wrong then you'll be free

  • @melontusk7358

    @melontusk7358

    3 жыл бұрын

    Bold of you to assume I want to live.

  • @knoweverything9075
    @knoweverything90753 жыл бұрын

    Moral of story: Never interfere someone conversation if you don't want to die.

  • @jaschabull2365

    @jaschabull2365

    3 жыл бұрын

    You know what Solomon said: To intervene in other people's argument is like pulling a dog by the ear.

  • @Hessonite_Dragon_Helen

    @Hessonite_Dragon_Helen

    3 жыл бұрын

    Or know the answer and be a smarta**

  • @blueotter5954

    @blueotter5954

    3 жыл бұрын

    But...then more will die

  • @genechia2605

    @genechia2605

    3 жыл бұрын

    Exactly what I was thinking

  • @RedGallardo

    @RedGallardo

    3 жыл бұрын

    Yup. You may not know the whole story and it's rude to interfere. Oh! Excuse me for interfering! XD

  • @erindrawsabit804
    @erindrawsabit8043 жыл бұрын

    Alice: You see, Fibonacci numbers- Red Queen: OFF WITH HER HEAD

  • @Bxll_Bxll

    @Bxll_Bxll

    2 жыл бұрын

    *chop*

  • @ikimiyu

    @ikimiyu

    2 жыл бұрын

    fr lmao

  • @ikimiyu

    @ikimiyu

    2 жыл бұрын

    the fact that the queen is one who acts harley quinn in the movies is amazing (excuse my grammar)

  • @_Stxxx

    @_Stxxx

    2 жыл бұрын

    Lmaoo

  • @manlingsun8928
    @manlingsun89283 жыл бұрын

    _Just as things aren't looking too good for Alice, she remembers her geometry..._ Boy, I wish I could do that in a situation where I'm about to lose my head.

  • @loveloveaii

    @loveloveaii

    2 жыл бұрын

    If you don’t use it you might as well lose it

  • @marcusscience23

    @marcusscience23

    2 жыл бұрын

    @@loveloveaii lol

  • @iceyyl3mon

    @iceyyl3mon

    Жыл бұрын

    Quite literally

  • @stickycheezedog9205

    @stickycheezedog9205

    Жыл бұрын

    Hello, I'm the thousandth like

  • @obiwanfisher537

    @obiwanfisher537

    11 ай бұрын

    Yeah, well, then again you only sit on your couch, watch tedex videos and never have any real life adventures in the firstp lace

  • @danyelhaskins6210
    @danyelhaskins62103 жыл бұрын

    Alice- does the math and proves the queen wrong Queen-......Im right, you're wrong, shut up.

  • @shaxosYT

    @shaxosYT

    3 жыл бұрын

    Off with her head!

  • @vaughnjohnson8767

    @vaughnjohnson8767

    3 жыл бұрын

    @@shaxosYT To the guillotine!

  • @wargeneral0659

    @wargeneral0659

    3 жыл бұрын

    Well thats like fighting with your parents be like

  • @jpex_8359

    @jpex_8359

    3 жыл бұрын

    Karen

  • @jamessol7400

    @jamessol7400

    3 жыл бұрын

    i almost died reading this

  • @royalmasterjun
    @royalmasterjun3 жыл бұрын

    This reminds me of the old “Infinite Chocolate Bar” trick

  • @zawsrdtygbhjimokpl6998

    @zawsrdtygbhjimokpl6998

    3 жыл бұрын

    perhaps because it's the same, but idk

  • @MrKimKim

    @MrKimKim

    3 жыл бұрын

    it is the same

  • @dc9631

    @dc9631

    3 жыл бұрын

    You beat me to it....same comment here....the chocolate bar theory

  • @smallspace7

    @smallspace7

    3 жыл бұрын

    Yes, thank you I was asking myself why is this so familiar?

  • @sabrinah.476

    @sabrinah.476

    3 жыл бұрын

    Same!

  • @tee-nw5vx
    @tee-nw5vx2 жыл бұрын

    "can alice wrap her head around whats wrong? before she loses it?" KILLED ME LMAO

  • @deanrohe5346

    @deanrohe5346

    2 жыл бұрын

    Almost killed Alice, too!

  • @Lucki_MORELIKEUNLUCKI

    @Lucki_MORELIKEUNLUCKI

    2 жыл бұрын

    Same lol

  • @nicholasmedich7493
    @nicholasmedich74933 жыл бұрын

    I seriously though TED was finally going to tell us why a raven is like a writing desk.

  • @angelicakoppel7344

    @angelicakoppel7344

    2 жыл бұрын

    They both have quils

  • @billydeeuk

    @billydeeuk

    2 жыл бұрын

    Edgar Allan Poe wrote on both

  • @aliyahpulido953

    @aliyahpulido953

    2 жыл бұрын

    You turn to them both on a dark and stormy night?

  • @Tolivian

    @Tolivian

    2 жыл бұрын

    Lewis Carroll actually provided an answer for that one though, it's because "they both make notes (letters and "caw") although they are rather flat (paper and a flat music note)."

  • @jaronflynn5052

    @jaronflynn5052

    2 жыл бұрын

    Me too

  • @leonguyen896
    @leonguyen8963 жыл бұрын

    Fun fact: The author of Alice in Wonderland was a mathematician and his books are full of math references. For example, when Alice falls down the hole and begins shrinking, she wonders if she'll eventually disappear or shrink indefinitely. This hints at the concept and definition of a limit.

  • @wariolandgoldpiramid

    @wariolandgoldpiramid

    3 жыл бұрын

    It's no wonder various authors have used Alice and her adventures to write and logic and math books. It fits so well.

  • @izthistle6196

    @izthistle6196

    3 жыл бұрын

    Fun fact: Queen Victoria liked the book so much that she suggested that Carroll dedicate his next work to her. And *An Elementary Treatise on Determinants, With Their Application to Simultaneous Linear Equations and Algebraic Equations* was presented to the queen

  • @ee-tq3xu

    @ee-tq3xu

    3 жыл бұрын

    @@izthistle6196 👏👏

  • @jaschabull2365

    @jaschabull2365

    3 жыл бұрын

    I wonder what a Wonderland based on Common Core mathematics would look like.

  • @daweirdo2930

    @daweirdo2930

    3 жыл бұрын

    wut

  • @ValeryValWho
    @ValeryValWho3 жыл бұрын

    Just when Alice was about to lose her head, she remembers the chocolate tablet problem that was around the internet a few years ago...

  • @betka5791

    @betka5791

    2 жыл бұрын

    Oh yeah, that. I ate the chocolate.

  • @tarragon111

    @tarragon111

    Жыл бұрын

    infinite chocolate pog

  • @skyloh258
    @skyloh2583 жыл бұрын

    Matilda’s dad be like if he were the queen: I’M BIG YOUR SMALL I’M RIGHT YOUR WRONG AND THERE IS NOTHING YOU CAN DO ABOUT IT

  • @Inkyminkyzizwoz

    @Inkyminkyzizwoz

    3 жыл бұрын

    *you're And why does everyone have to 'be like' statements? Doesn't anyone ever 'say' them anymore? And what's with 'BE like'? Unless you're a pirate at least take the trouble to conjugate it!

  • @skyloh258

    @skyloh258

    3 жыл бұрын

    @@Inkyminkyzizwoz I mean the sentence is grammatically correct (except for the your) so I don’t understand why you are upset about the fact I said be like instead of say. Btw English isn’t my mother tongue

  • @erickpoorbaugh6728

    @erickpoorbaugh6728

    2 жыл бұрын

    “Matilda’s father is known to behave in a manner that I shall now demonstrate, with said demonstration assuming a hypothetical scenario wherein he replaces the queen in the narrative recited above:”

  • @agenttechnaid5438

    @agenttechnaid5438

    2 жыл бұрын

    @@erickpoorbaugh6728 when you wanna hit that 1 thousand words quota

  • @mindofzena8447

    @mindofzena8447

    Жыл бұрын

    lmaooo love this comment and your Aang pfp

  • @myowncomputerstuff
    @myowncomputerstuff3 жыл бұрын

    If Alice is able to solve this puzzle in three seconds while being dragged to her death, she's clearly a prodigy. No wonder she was so bored of her sister's simple history lesson that she fell asleep.

  • @lexrsnow1111
    @lexrsnow11113 жыл бұрын

    There's only one problem: how will I explain everything I just saw to the Queen?

  • @lilchristuten7568

    @lilchristuten7568

    2 жыл бұрын

    Tell her there's a visible gap between the soldiers, if they are as big as depicted (the size of humans) then there should be no problem seeing that gap from close up.

  • @rile8001

    @rile8001

    2 жыл бұрын

    Queen be like : Off with her head

  • @thenordicmyth5758

    @thenordicmyth5758

    2 жыл бұрын

    Run as fast as you can while screaming the answer XD

  • @Sate12

    @Sate12

    2 жыл бұрын

    Point at her and scream "you chested b!tch" And then RUUUUN

  • @AngelicHalfblood

    @AngelicHalfblood

    2 жыл бұрын

    I thought it was more like a acid trip

  • @DrawBioMed
    @DrawBioMed3 жыл бұрын

    *Students complain geometric is useless outside of school. Queen of Hearts: Hold your head❤️

  • @arthurlam751

    @arthurlam751

    3 жыл бұрын

    Thanks for your illustrations.

  • @milesandrews6711

    @milesandrews6711

    3 жыл бұрын

    I mean you can beat this scenario without geometry

  • @javidfarhan1675

    @javidfarhan1675

    3 жыл бұрын

    Yeah , my day job involves following a rabbit into a hole everyday, like many people do. Geometry is really useful in this line of work

  • @DrawBioMed

    @DrawBioMed

    3 жыл бұрын

    @@arthurlam751 My pleasure to help the scientists! Happy drawbiomed

  • @naturesgirl6864

    @naturesgirl6864

    3 жыл бұрын

    It is not😒😔

  • @PendoraBox
    @PendoraBox3 жыл бұрын

    "Can you answer the Alice in the Wonderland riddle?" Me: I *wonder* how I'll get confused before the actual riddle start

  • @minhbui6943
    @minhbui69433 жыл бұрын

    Alice at 0:29 : interject the queen without thinking Also Alice: solve the whole math problem

  • @torch14000
    @torch140003 жыл бұрын

    alice iq is so high that she thought the Queen is serious about her joke

  • @ee-tq3xu

    @ee-tq3xu

    3 жыл бұрын

    lol 😂

  • @Tudsamfa

    @Tudsamfa

    3 жыл бұрын

    alice iq is so high that she immediatly talks to the person she was hiding from

  • @torch14000

    @torch14000

    3 жыл бұрын

    alice iq is so high that a reddit user r/woooosh her

  • @sakibislam4079

    @sakibislam4079

    3 жыл бұрын

    well people with high IQ has less eq so your sarcasm is not really sarcastic

  • @xeno2421

    @xeno2421

    3 жыл бұрын

    @@sakibislam4079 what is eq?

  • @shinyagumon7015
    @shinyagumon70153 жыл бұрын

    Since this is Wonderland it's also possible that both are wrong and the true answer is Jabberwocky.

  • @bluecheese8703

    @bluecheese8703

    3 жыл бұрын

    Who is this person who is so wise in the ways of science?

  • @elj955

    @elj955

    3 жыл бұрын

    I aspire to reach your level of wisdom one day

  • @catandcomparator

    @catandcomparator

    3 жыл бұрын

    JIBBERWICKY

  • @SofiaMariaVona

    @SofiaMariaVona

    3 жыл бұрын

    :D Hi! Concerning the Alice’s world, I think you could like this adaptation played on piano by me, of the Alice’s movie soundtrack, composed by the great Danny Elfman, 😃here it is!👉🏻kzread.info/dash/bejne/kYV-xdmbldmrZZc.html 💚thanks for your attention:)

  • @yueshijoorya601

    @yueshijoorya601

    2 жыл бұрын

    Wow, they really butchered Shiny Agumon with that redesign, huh?

  • @patrickdrazen8411
    @patrickdrazen84112 жыл бұрын

    I thought the riddle was going to be: "Why is a raven like a writing-desk?"

  • @Vashthestampdee

    @Vashthestampdee

    2 жыл бұрын

    Poe wrote on both

  • @deboralee1623

    @deboralee1623

    2 жыл бұрын

    same here.

  • @AJDaniels5298
    @AJDaniels52982 жыл бұрын

    "Why is a raven like a writing desk?" *Because Poe wrote on both*

  • @heinaghost411
    @heinaghost4113 жыл бұрын

    why is no one talking about the background music? it's a groovy bop

  • @heinaghost411

    @heinaghost411

    3 жыл бұрын

    @Daksh Chauhan there is great background music

  • @Snips.Snails.Fairytales

    @Snips.Snails.Fairytales

    3 жыл бұрын

    It sounds similar to "White Rabbit" by Jefferson Airplane! I wouldn't be surprised if it's on purpose

  • @wtfduud

    @wtfduud

    3 жыл бұрын

    Man, the bar for what's considered "a bop" has gone down so much.

  • @nunyabiznes33

    @nunyabiznes33

    3 жыл бұрын

    We all inhaled the smoke from the caterpillar's pipe..

  • @erebosd2592

    @erebosd2592

    3 жыл бұрын

    Does anyone know the music's name?

  • @halafarhat3009
    @halafarhat30093 жыл бұрын

    * reads title * "probably not but I'll give it a try"

  • @calebmurray4438

    @calebmurray4438

    3 жыл бұрын

    This is basically it. This is what all of us do.

  • @SH-vh2bi

    @SH-vh2bi

    3 жыл бұрын

    this was me

  • @05r41

    @05r41

    3 жыл бұрын

    I’d seen it before... which is disappointing bc it means I didn’t get to try it

  • @livingmybetsylife

    @livingmybetsylife

    3 жыл бұрын

    literally me every single time.

  • @fuwa1276

    @fuwa1276

    3 жыл бұрын

    Me with every TedEd riddle

  • @letterztou
    @letterztou3 жыл бұрын

    Me: When will we ever use what we learn in math class My Math Teacher:

  • @ursa2766
    @ursa27663 жыл бұрын

    the rabbit countdown at 1:52 was so cute

  • @darksilence6930
    @darksilence69303 жыл бұрын

    Nobody: Queen of Hearts: OfF WiTh YoUr HeAd

  • @GamerOfFate

    @GamerOfFate

    3 жыл бұрын

    That does rather sum her up.

  • @GamerOfFate

    @GamerOfFate

    3 жыл бұрын

    @Yinka Vaughan Believe it or not, I didn't actually intend that one! XD A happy little accident, as Bob Ross would say.

  • @Eddie-yv1ix

    @Eddie-yv1ix

    3 жыл бұрын

    You disagree with my knowledge, to the guillotine

  • @jyothish5194

    @jyothish5194

    2 жыл бұрын

    Dance Dance Dance to Death

  • @rachealx.107
    @rachealx.1073 жыл бұрын

    WHen the world needed them the most, Ted-Ed uploaded a riddle.

  • @dhruvsingh34

    @dhruvsingh34

    3 жыл бұрын

    Meanwhile, Twitter 🐦 !⃝ 𝗧𝗵𝗶𝘀 𝗰𝗹𝗮𝗶𝗺 𝗶𝘀 𝗱𝗶𝘀𝗽𝘂𝘁𝗲𝗱

  • @catandcomparator

    @catandcomparator

    3 жыл бұрын

    (Atla music plays)

  • @jumaimachowdhury5533
    @jumaimachowdhury5533 Жыл бұрын

    I just love that Alice in Wonderland characters are randomly having an argument about numbers 😂

  • @RGC_animation
    @RGC_animation3 жыл бұрын

    Step one: Confirm you have green eye Step two: Ask the Queen of heart to leave

  • @paperanimes3416

    @paperanimes3416

    3 жыл бұрын

    Op...

  • @Inkyminkyzizwoz

    @Inkyminkyzizwoz

    3 жыл бұрын

    But Alice has blue eyes

  • @ferociousmaliciousghost

    @ferociousmaliciousghost

    Жыл бұрын

    @@Inkyminkyzizwoz Those are contact lenses.

  • @akashwalavalkar7313
    @akashwalavalkar73133 жыл бұрын

    Queen: Knows advanced geometry Also Queen: Does not 64 and 65 are different. Also Queen in 1975: Galileo!

  • @itstomatogear6806

    @itstomatogear6806

    3 жыл бұрын

    Congratulations 🎉👏 of being the top comment 👍😁 (as of now 😈)

  • @random20000

    @random20000

    3 жыл бұрын

    When this comment has more likes that ted-eds comment (FOR NOW)

  • @manasrastogi5948
    @manasrastogi59483 жыл бұрын

    The only riddles which are not of kids level.

  • @barrotem5627

    @barrotem5627

    3 жыл бұрын

    Was the other ones easy for you?

  • @slkjvlkfsvnlsdfhgdght5447

    @slkjvlkfsvnlsdfhgdght5447

    3 жыл бұрын

    @@barrotem5627 I think that he's talking about all of this channel's riddles

  • @barrotem5627

    @barrotem5627

    3 жыл бұрын

    @@slkjvlkfsvnlsdfhgdght5447 Okay. Does this mean the other riddles were easy for them?

  • @slkjvlkfsvnlsdfhgdght5447

    @slkjvlkfsvnlsdfhgdght5447

    3 жыл бұрын

    @@barrotem5627 other riddles on the internet I would assume that's how I understand it : "only ted-ed's riddles are not 'kid level'"

  • @jerometan1631

    @jerometan1631

    3 жыл бұрын

    Yup

  • @Aozora210
    @Aozora2102 жыл бұрын

    Recently I watched a video of a math teacher explaining this problem and while I kinda get it, it didn't clicked for me. The chessboard and the gap is such a wonderful illustration that helps my visual brain to process it better. The art is also very cute! Thank you so much for creating this video ❤️

  • @user-fi1on9rw6x
    @user-fi1on9rw6x3 жыл бұрын

    I'm so happy that I got this one!! My method was different, though. The small angle is 21.03 degrees on the triangle created by the diagonal of the 13*5 rectangle, but the 8*3 triangle had a smaller angle of 20.56 degrees.

  • @what3374
    @what33743 жыл бұрын

    So the queen of hearts is able to have card soldiers that have fibonnaci sequence values as side lengths but can't piece together that 65-1 = 64

  • @roguishpaladin

    @roguishpaladin

    3 жыл бұрын

    It's Wonderland. No one there is logical.

  • @DefnitelyNotFred

    @DefnitelyNotFred

    3 жыл бұрын

    “We’re all mad in here” - says the grin without a cat

  • @NoriMori1992

    @NoriMori1992

    3 жыл бұрын

    She cheated on purpose. She didn't really think that the two numbers are equal.

  • @richardgibson8403

    @richardgibson8403

    3 жыл бұрын

    it’s an advanced technique called “lying”

  • @SofiaMariaVona

    @SofiaMariaVona

    3 жыл бұрын

    :D Hi! Concerning the Alice’s world, I think you could like this adaptation played on piano by me, of the Alice’s movie soundtrack, composed by the great Danny Elfman, 😃here it is!👉🏻kzread.info/dash/bejne/kYV-xdmbldmrZZc.html 💚thanks for your attention:)

  • @Alkalus
    @Alkalus3 жыл бұрын

    Ted-Ed: Sure enough, there's a miniscule gap between gap between the triangles and trapezoids... Card Soldiers: *cover up the gap when lying down in **1:33*

  • @thundersheild926

    @thundersheild926

    3 жыл бұрын

    If they didn't, it would have been too obvious. Besides, the gap would have been less than a tenth of a square wide at its widest point.

  • @bobonox4233

    @bobonox4233

    3 жыл бұрын

    I think you can actually see the gap when you look close enaugh. But the colors of the board were changed so it isn‘t too obvious

  • @sed1589

    @sed1589

    3 жыл бұрын

    I mean you're supposed to figure that part out though.

  • @thealiker7777

    @thealiker7777

    3 жыл бұрын

    Actually the line is there, I am watching at 720p in my 13 inch, and there is a very light gray line in-between them, u have to be Keen to see that, man animators should have worked real hard on that!!

  • @prerakgames4668

    @prerakgames4668

    3 жыл бұрын

    It's so small we can't see it

  • @MinityMaths
    @MinityMaths3 жыл бұрын

    These riddles are great as starters for Math lessons, they engage students and encourage them to explore various possible solutions based on concepts they have already learnt

  • @halloooo1duuuuu
    @halloooo1duuuuu3 жыл бұрын

    Great riddle! The recent riddles have been a little boring but now you're back, Ted Ed! I was stuck on this one for a long time and almost gave up but then I did the math. I figured that something must be wrong with ____ (no spoilers here!) and located the issue. Besides, what a wonderful story and animation! The Alice in Wonderland theme is a great way to show how miraculous but universally true mathematics are.

  • @poweroffriendship2.0
    @poweroffriendship2.03 жыл бұрын

    _"Why is a raven like a writing desk?"_ *Answer:*

  • @Gunganfan

    @Gunganfan

    3 жыл бұрын

    Poe wrote on both

  • @user-br5gu7oi6i

    @user-br5gu7oi6i

    3 жыл бұрын

    They both produce notes and the front can nevar be mistaken from the back

  • @gabrielcichysilva4033

    @gabrielcichysilva4033

    3 жыл бұрын

    There is a classical one! I don't have any idea hahahaha

  • @amberbrown5359

    @amberbrown5359

    3 жыл бұрын

    They both produce notes, though they are both very flat

  • @kamille286

    @kamille286

    3 жыл бұрын

    Because both have quills dipped in ink

  • @frgal1336
    @frgal13363 жыл бұрын

    “Suddenly, Alice remembers her geometry.” If only. If only...

  • @ceydan.3888
    @ceydan.38883 жыл бұрын

    Wow: "One can't believe impossible things." What great advice lol

  • @mayorstudland2929
    @mayorstudland29293 жыл бұрын

    I was able to solve the riddle but in a different approach. Given the Queen's arrangement of the four soldiers, it would seem that a rectangle can be formed. Even if the total area of the four shapes sums up to 64 sq. units and cannot form a shape that's more or less than the mentioned area, there's been cases like the infinite chocolate bar puzzle that beg to differ. To check if the 13x5 rectangle is possible, see if the measure of the rectangle's diagonal matches with the sum of the diagonal side of the trapezoid and the hypotenuse of the triangle. If one were to look closely at the trapezoid, there is a right triangle within the trapezoid. Split the trapezoid into a 5x3 rectangle and a right triangle with legs 2 and 5. Using the Pythagorean Theorem, the hypotenuse of the right triangle within the trapezoid, which is also the diagonal side of the trapezoid, is sqrt29. Now let's take a look at the hypotenuse of the triangles with legs 8 and 3. Using the Pythagorean Theorem once more, we get a hypotenuse of sqrt73. Now let's take a look at the diagonal of the supposed 13x5 rectangle. To get the measure of the said diagonal, we use the Pythagorean Theorem again. We get a measure of sqrt194. If the rectangle can be formed with the four soldiers, then the diagonal of the rectangle should be the same as the sum of the hypotenuse of the right triangle solder and the diagonal side of the trapezoid soldier. sqrt194 is approximately 13.928 sqrt29 + sqrt73 is approximately 13.929 Since the two values above are not equal to each other, the 13x5 rectangle cannot be formed with the four soldiers/shapes. As such, the extra square comes from the gap at the supposed diagonal of the rectangular chessboard as shown in the video.

  • @fuwa1276

    @fuwa1276

    3 жыл бұрын

    Woah

  • @zarapantoja6435

    @zarapantoja6435

    3 жыл бұрын

    tldr

  • @halloooo1duuuuu

    @halloooo1duuuuu

    3 жыл бұрын

    That was exactly how I approached it!

  • @awfuldynne

    @awfuldynne

    3 жыл бұрын

    I found the sum of the areas of the soldiers to determine whether I should look for a surplus or a deficit-or, equivalently, which rectangle contains the error/cheat. (of course it's a gap; overlaps are more obvious) Since the external dimensions matched the areas of the rectangles, there had to be a gap between the soldiers within the 5x13 rectangle. The lines running parallel to the sides of the rectangle will fit tightly together regardless, so the only place left for a gap-"are the large triangles really triangles?", check the slopes like Alice. 2/5 ≠ 3/8. You know how other methods of finding the solution sort of pop out once you've solved the problem? You could also compare the slopes to the 5/13 of the rectangle's diagonal.

  • @martinpiekarski1512

    @martinpiekarski1512

    3 жыл бұрын

    Yep, I did it in similar way.

  • @space1607
    @space16073 жыл бұрын

    “64 is the same as 65” This is beyond science.

  • @jarrakul
    @jarrakul3 жыл бұрын

    Figured out the slopes thing right away but got stumped trying to figure out how they could possibly be covering the board anyway. Some clarification of the constraints of the question would've been nice, as I didn't think "they aren't" was a valid response.

  • @philipbenson4099
    @philipbenson40992 жыл бұрын

    Well put together, thank you. I needed to learn this.

  • @melontusk7358
    @melontusk73583 жыл бұрын

    People who watched Numberphile's video half a decade ago: *Oh this is going to be super easy and should barely be an inconvenience* The legends who saw PatrickJMT's lectures on the Maclaurin series and Cantor Set: *We're all mad here, but my powers have doubled since the last time we met* God-like beings who memorized all the frames in "The Banach Tarski paradox" video by Vsauce a trillion eons ago: *More and more curious. All those years of academic training was worth it*

  • @t3rmin8orproduction96

    @t3rmin8orproduction96

    3 жыл бұрын

    All those gods the moment after clicking on this video: *Pathetic*

  • @joshuahudson2170

    @joshuahudson2170

    3 жыл бұрын

    What's up with the "The Banach Tarski paradox" that it appears to cheat the law of conservation of energy, and this goes unquestioned?

  • @davidt8087

    @davidt8087

    3 жыл бұрын

    @@joshuahudson2170 wow i looked everyone to find this paradox and youre the ONLY one who caught up with the fact this girl talking to those recetangles who were secretely smaller than they appeared was actually part of banarch tarski something the video didnt explaina and neither do the LITERAL CHILDREN AKA BABIES ON KZread ACTUALLY KNOW ABOUT IT EITHER MUCH LESS HAVE A DEVELOPED ENOUGH BRAINAS OF YET TO TRULY GRASP AND UNDERSTAND THE IDEA, CONCEPT, IMPLICATION, DEFINITION, AND JUST IN GENERAL TRULY GRAPS WHAT THE BANACH TARSKI PARADOX EVEN IS

  • @davidt8087

    @davidt8087

    3 жыл бұрын

    @@joshuahudson2170 its just an abstract mathematical concept or idea which using tricky and unnecessary math that would never ever be used in the real world especially by nature or for example gravity or atoms because its just extremely great at being a MASSIVE VIOLATOR OF ALL LAWS OF THE UNIVERSE SUCH AS THE LAWS OF PHYSICS OR ESPECIALLY THE LAWS OF THERMODYNAMICS WHICH STATE THAT ENERGY CANNOT BE CREATED OR DESTROYED, the paradox PRETENDS and seems to imply and give the illusion and to those who are super nerds and mathematicians DESPERATE to have their decades or life's work actually somehow maybe, hopefully be fact somehow or someday or in some place in reality and they completely become DELUDED AS FUK because they TRULY believe due to their MATHS, that the UNIVERSE DOES AND CAN ALLOW YOU TO CUT UP SAY CHOCOLATE IN SUCH A WAY AND REARRANGE IT IN SUCH A WAY THAT YOU SOMEHOW GET YOUR FULL CHOCOLATE BAR BACK PLUS AN EXTRA BAR. Now any sane and normal person would realize this is bs and impossible, but hey, deluded mathematicians will cry and argue otherwise. I wouldnt say it cheats the law of conservaation of energy but rather it goes against the laws of thermodynamics particularly the first law which says energy cant be created or destroyed.

  • @abigailw7146

    @abigailw7146

    2 жыл бұрын

    hey that’s a ryan george reference! wowowowowow!

  • @Hacksolotl
    @Hacksolotl3 жыл бұрын

    Ted Ed: Can you solve... Me: Instantly clicks the video *Edit* Wow this is probably my most liked comments, I never expected to have this many! Thank you.

  • @mariocuric6690

    @mariocuric6690

    3 жыл бұрын

    Me: no, but let me see it anyways

  • @michaelroditis1952

    @michaelroditis1952

    3 жыл бұрын

    Me too I love ted ed 's riddles

  • @dhruvsingh34

    @dhruvsingh34

    3 жыл бұрын

    🐦 !⃝ 𝗧𝗵𝗶𝘀 𝗰𝗹𝗮𝗶𝗺 𝗶𝘀 𝗱𝗶𝘀𝗽𝘂𝘁𝗲𝗱

  • @Hacksolotl

    @Hacksolotl

    3 жыл бұрын

    @@mariocuric6690 Yeah.

  • @Hacksolotl

    @Hacksolotl

    3 жыл бұрын

    Wow, thankyou for all those likes :)

  • @evanseekins517
    @evanseekins5173 жыл бұрын

    Once I realize it's a math riddle, I turn around and thank ted for it's time.

  • @PossibleBat

    @PossibleBat

    2 жыл бұрын

    Same 😭

  • @brendenchee16
    @brendenchee163 жыл бұрын

    Lewis Carroll is awesome. An awesome author AND mathematician!

  • @justinhepfer276
    @justinhepfer2763 жыл бұрын

    Real answer it's wonderland don't question it

  • @dhruvsingh34

    @dhruvsingh34

    3 жыл бұрын

    🐦 !⃝ 𝗧𝗵𝗶𝘀 𝗰𝗹𝗮𝗶𝗺 𝗶𝘀 𝗱𝗶𝘀𝗽𝘂𝘁𝗲𝗱

  • @OneNerdyAce

    @OneNerdyAce

    3 жыл бұрын

    THIS IS FRICKEN GOLD

  • @sergiorosales8658

    @sergiorosales8658

    3 жыл бұрын

    Always question your reality

  • @peterthepanda
    @peterthepanda3 жыл бұрын

    This is like the the Chocolate bar trick where you cut it up and remove one piece and when reassembled makes it look like it didn't reduce in size.

  • @spodreman7732
    @spodreman77322 жыл бұрын

    The situation is hilarious when you think about it. Queen: 64 is 65! Alice: No! Queen: _So you have chosen death_

  • @randompotato._.7498
    @randompotato._.74983 жыл бұрын

    I love how I thought of this really long and hard but didn't even get close to the answer

  • @somikasonishorts1874
    @somikasonishorts18743 жыл бұрын

    0:57 As if going in wonderland wasn't weird enough the least you would expect is *four odd looking soldiers* approaching you.

  • @zack-ronald259
    @zack-ronald2593 жыл бұрын

    step 1: confirm you have green eyes. step 2: Ask the diagonal sides to leave.

  • @blueeye2281

    @blueeye2281

    3 жыл бұрын

    Step 2 is what a karen would do.

  • @sukhchain9696

    @sukhchain9696

    3 жыл бұрын

    uhh ?

  • @icarus3224

    @icarus3224

    3 жыл бұрын

    @@sukhchain9696 It's another video from TED-Ed, the link : kzread.info/dash/bejne/a2yIs9hueaTaiZs.html

  • @icarus3224

    @icarus3224

    3 жыл бұрын

    I mean the green eyes

  • @sukhchain9696

    @sukhchain9696

    3 жыл бұрын

    @@icarus3224 okay thanks...now i understand the joke

  • @martinpiekarski1512
    @martinpiekarski15123 жыл бұрын

    Yeah, I have also noticed that combination of these diagonal lines adds some lenght. Not sure if my reasoning is right, but what I did is I used a Pitagorean theorem in to measure these diagonal lines. It won't give accurate results, but in short, a hypotenuse of 8 and 3 is a square root of 73, which is around 8,544 and a hypotenuse of 5 and 2 is a sqr of 29 which is around 5,385. When you add up these numbers, you will get ~13,93. As you can notice, it is almost 1 more than the length of the 12 which makes a base length of that second rectangle. Not exact 1, but close enough to give you some idea.

  • @Julika7
    @Julika73 жыл бұрын

    I always wondered! Thank you!

  • @michikomanalang6733
    @michikomanalang67333 жыл бұрын

    B-but... she doesn't have a shrinking potion after the beginning. She's got her mushrooms! (Don't mind me, I'm just salty I can't put math into words)

  • @wariolandgoldpiramid

    @wariolandgoldpiramid

    3 жыл бұрын

    This is a new, different adventure :)

  • @collinlyons4525
    @collinlyons45253 жыл бұрын

    This riddle was, wonderful hehehe

  • @Kairikey
    @Kairikey3 жыл бұрын

    This one is kinda easy when you second guess how the slope would continue from each shapes. I love how this riddle needs Alice in Wonderland. It's fitting! Another thing I love is the secret of fibonacci numbers that make this puzzle possible.

  • @MoisterChife
    @MoisterChife2 жыл бұрын

    I read this one in a book a couple of years back, first riddle I saw from you guys I could solve

  • @AkankshaSingh-hx4db
    @AkankshaSingh-hx4db3 жыл бұрын

    Ted ed: Can you solve the Alice in Wonderland riddle? Me: probably not, but you know I'm gonna watch it anyway.....

  • @maebluejay
    @maebluejay3 жыл бұрын

    Let’s be honest: You don’t try to solve the riddles _You read the comments_

  • @rachealx.107

    @rachealx.107

    3 жыл бұрын

    I thought you were going to say "You wait for the answers then curse yourself for not figuring it out"

  • @archanadesai471

    @archanadesai471

    3 жыл бұрын

    no

  • @maebluejay

    @maebluejay

    3 жыл бұрын

    @@rachealx.107 yeah that too lmao

  • @highTideWaves

    @highTideWaves

    3 жыл бұрын

    Well for once I know how to solve this one because I've seen something similar lol

  • @CindyFily

    @CindyFily

    3 жыл бұрын

    "1:35, they showed it as if they actually touched. If it had said that there a was gap in between, it would have been more obvious for me. They didn't show the information correctly. I still enjoy this concept though"

  • @user-jk6vs3rw4n
    @user-jk6vs3rw4n3 жыл бұрын

    I really enjoyed the background music and the riddle was quite fun!!!

  • @anayaweick7964
    @anayaweick79643 жыл бұрын

    This is one of the few I was able to solve. Thank you Geometry class

  • @TheFerretofEarth
    @TheFerretofEarth3 жыл бұрын

    Me a being beyond mortals and gods: *Pushes queen into guard* then *drinks shirking potion* and runs into bushes

  • @destroyerofworlds4663
    @destroyerofworlds46633 жыл бұрын

    This is basically *"The Infinite Chocolate Bar Trick"* the question

  • @ratuangsa3314
    @ratuangsa33142 жыл бұрын

    this is way too good, I love it

  • @frozenzenberry4101
    @frozenzenberry41013 жыл бұрын

    I got one right finally! I was literally like there is no way the slope of those are the same. There has to be some gaps in there that account for the extra square. Didn't use math, but I still count it as a win.

  • @littletravelblog7589
    @littletravelblog75893 жыл бұрын

    These riddles are always so interesting and I love how they are being presented. I admit, I couldn't solve this riddle by myself, but now I know the explanation and the Fibonacci numbers, so I'll know what to do next time)

  • @kevinabraham6908
    @kevinabraham69083 жыл бұрын

    Yay.... TEDEd is back with Riddles😘 Looking forward to see more...........

  • @marshall7439
    @marshall74392 жыл бұрын

    I should be coming for the riddles. I came for the art direction. God that Alice design is like perfect.

  • @saranimri3536
    @saranimri35362 жыл бұрын

    "can alice wrap her head around what's wrong before she loses it"... That made me laugh and forgot to think about the riddle 😂😂

  • @dhruvsingh34
    @dhruvsingh343 жыл бұрын

    👶🏻 KIDS are SOLVING RIDDLES 😉 LEGENDS waiting for PAUL RUDD 😁

  • @James_Moton
    @James_Moton3 жыл бұрын

    To get the limit solution: (1) Start with a rectangle with an aspect ratio of phi^2 to 1 (2.618:1). (2) Cut the rectangle along the diagonal, so you end up with 2 congruent triangles with the same aspect ratio. (3) Lay the triangles one on top of the another and align them so they appear as one triangle. (4) On the longer side of the triangles, mark a perpendicular line at phi^-1 (0.618) of the way in. (5) Cut the triangles along the marked line. (6) Rearrange the resulting triangles and trapezoids into a square. In the limit case, you should not have any excess or missing material.

  • @randevadithya3203
    @randevadithya32032 жыл бұрын

    Love these lessons

  • @smileydream.4033
    @smileydream.40333 жыл бұрын

    FINALLY A TED ED RIDDLE I WAS ABLE TO SOLVE WITHIN THEIR TIME FRAME & BEFORE THEY EXPLAIN IT

  • @lenlenlen6152
    @lenlenlen61523 жыл бұрын

    Ted ed: Can you solve- Me: No. No, I can't

  • @blueeye2281
    @blueeye22813 жыл бұрын

    I couldn't solve the riddle but learnt something new. It's 'ch' as in 'choke', not like 'ch' as in 'school' in Fibonacci.

  • @nickmartin6602
    @nickmartin66023 жыл бұрын

    Beautiful artwork.

  • @1001SPA
    @1001SPA3 жыл бұрын

    4:23 i JUST realized she's doin' tha jazz hands.

  • @thehappysuma3067
    @thehappysuma30673 жыл бұрын

    Sherlock Holmes: exists Me who manages to solve the riddle: I’m about to end this man’s whole career

  • @swagathon6967
    @swagathon69673 жыл бұрын

    Damn, didn’t know Alice had the ability to perfectly mesure the length of geometrical shapes and calculate equations straight out of her mind . Could have served purpose in the films .....

  • @abdelhamidahbane6322
    @abdelhamidahbane63223 жыл бұрын

    that was so fascinating !

  • @monochromeart7311
    @monochromeart73113 жыл бұрын

    the quote at the start fits the book "No Game No Life" so well

  • @yfcanaan1386
    @yfcanaan13863 жыл бұрын

    Well,it seems that Alice is a mathematician.

  • @t3rmin8orproduction96

    @t3rmin8orproduction96

    3 жыл бұрын

    Her author was a mathematician.

  • @toriierriffic
    @toriierriffic3 жыл бұрын

    this kind of hidden cut is also used on that "infinite chocolate bar" gif

  • @YokNg
    @YokNg3 жыл бұрын

    never knew it could be so interesting!

  • @nanamacapagal8342
    @nanamacapagal83423 жыл бұрын

    I've had experience from the Mathologer. He's discussed this and goes into great detail behind this puzzle (and a couple others too) in his toroflux video

  • @ternence2000
    @ternence20003 жыл бұрын

    I almost gave up, but the faith of believing in science eventually let me solve this riddle. Good video👏

  • @eggyolk6735
    @eggyolk67353 жыл бұрын

    Nobody did this yet so here I go: Confirm to the queen that your eyes are green and get out

  • @Inkyminkyzizwoz

    @Inkyminkyzizwoz

    3 жыл бұрын

    But Alice's eyes are blue

  • @bluetube364
    @bluetube3643 жыл бұрын

    I love the Fibonacci sequence. Steve’s hair, Sonics head, etc

  • @chrisg3030
    @chrisg30303 жыл бұрын

    When b^2 = (a*c)-1 in the Fibonacci sequence then there's not a gap but an overlap, right? Using squared paper and terms in the Lucas sequence, I constructed a 7*7 square, then dissected and reassembled it into a 4*11 rectangle with an overlap accounting for 49-44=5 disappeared squares. With such a discrepancy there was now no chance of seeing an apparent single straight diagonal as in the vid example, but I was struck by how the background paper squares in my figure themselves underwent no distortion, but seemed to close up neatly on each other to create regular though fewer squares. Is that actually so?

  • @PvblivsAelivs
    @PvblivsAelivs3 жыл бұрын

    "I dare say you haven't had much practice. When I was your age, I used to believe six impossible things before breakfast." What is truly sad is that he used the pen name Lewis Carroll in his fictional works to disassociate them with his work in the mathematical profession. Instead, the name of Charles Dodgson has almost been lost.

  • @AxielFan
    @AxielFan3 жыл бұрын

    This riddle reminds me of that Hershey chocolate optical illusion where you break one piece off and cut the chocolate and it looks like the same chocolate bar.

  • @broderioustheturtle9027
    @broderioustheturtle90272 жыл бұрын

    Finally figured out one of these riddles before the answer

  • @miahovav6345
    @miahovav63453 жыл бұрын

    Great! Make more Harry Potter and Alice in Wonderland riddles!

  • @pietrosmusi6348
    @pietrosmusi63483 жыл бұрын

    Someone replied that Carol was a mad man when he wrote about his book: but I love how its problem got me so addicted. Thank you Ted ed

  • @haziqfawwad3490
    @haziqfawwad34903 жыл бұрын

    This is one of those situations where your math teacher will say ...... SHOW ME YOUR WORK!

  • @Utred2012
    @Utred20123 жыл бұрын

    I legitimately overthought this. I was thinking about the partial squares covered by the triangles, so I was towards the right area, but didn't think to check the slopes.

  • @YouAndImpact
    @YouAndImpact3 жыл бұрын

    Great video 👍