Squaring a Doughnut

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  • Published: 11 January 2019
  • ***LINKS TO LEARN MORE BELOW***
    Numberphile's Video About Squared Squares
    it-clip.net/video/NoRjwZomUK0/video.html
    Torus Games
    www.geometrygames.org/TorusGames/index.html.en
    levsblog.quora.com/The-Topology-of-Pacman
    www.squaring.net/sq/spt/st/st.html
    www.squaring.net/sq/ss/siss/siss.html
    www.squaring.net/history_theory/brooks_smith_stone_tutte.html
    en.wikipedia.org/wiki/Squaring_the_square
    Get my favorite science gear delivered to your door: www.curiositybox.com
    twitter.com/tweetsauce
    instagram.com/electricpants/
    Vsauce PO Box: PO Box 33168
    L.A. CA 9003
    ***CREDITS***
    Hosted by
    Michael Stevens
    Edited by
    Hannah Canetti
    instagram: @hannaynaycanaynay
    VFX by
    Eric Langlay
    (it-clip.net/user/ericlanglay)
    Music by Jake Chudnow and from AudioNetwork
    (it-clip.net/user/jakechudnow)
    (www.audionetwork.com)
    ***VSAUCE LINKS***
    Vsauce1: it-clip.net/user/vsauce1
    Vsauce2: it-clip.net/user/vsauce2
    Vsauce3: it-clip.net/user/vsauce3

Comments • 6 995

  • James Games
    James Games  12 ore fa

    I just remembered an episode of the amazing world of gumball mentioned this

    • Seth Poulsen
      Seth Poulsen  13 ore fa

      nobody: Michael: *But it gets better*

      • Xynnful
        Xynnful  3 giorni fa

        Old doughnuts are still being sold by a company who sells current doughnuts, at least where I live. They're called "munchkins" lol.

        • Rossi Boy
          Rossi Boy  3 giorni fa

          What if the world is a torus

          • Noh_timore Chetviortiy
            Noh_timore Chetviortiy  4 giorni fa

            8:53 polpo

            • samuel not
              samuel not  4 giorni fa

              You're on of the 1 people that sees this comment, and that wasn't your choice. But! THIS is your choice will you click it will you not 0:20

              • samuel not
                samuel not  4 giorni fa

                it's Dough with a NUT on top Duh!!

                • TinyFoxTom
                  TinyFoxTom  6 giorni fa

                  Topologically speaking, people who eat donuts are cannibals.

                  • Julia Handley
                    Julia Handley  6 giorni fa

                    13:22 Michael: b for blue Me: oh that makes sense Michael: a for pink Me: wait what

                    • Aaron Jacob Amador Salazar

                      (donut)²

                      • redstoneguy12
                        redstoneguy12  8 giorni fa

                        AAAAAAAAAAAAAAA THAT'S NOT HOW YOU WRITE AN 8

                        • Dan Dart
                          Dan Dart  8 giorni fa

                          I was not prepared for that level of depth less than ninety seconds in.

                          • Milk Carton
                            Milk Carton  9 giorni fa

                            *Michael eating donuts for 15 minutes straight*

                            • The free Monster
                              The free Monster  9 giorni fa

                              B for blue a for pink Why did I find it funny

                              • Perri Loveland
                                Perri Loveland  9 giorni fa

                                1950s: We'll have flying cars in the future! Now: *S q u a r i n g a d o n u t*

                                • Nil Wee
                                  Nil Wee  10 giorni fa

                                  That you can use to send me free stuff...Cha Ching!

                                  • Pandoras Scribbles
                                    Pandoras Scribbles  10 giorni fa

                                    "We've pretended that it's a leftover thing; it's unimportant" "An appendix?" "When in reality our very name, our very existence comes from that name that we no longer have." *"An appendix?!"*

                                    • Marcus Withell
                                      Marcus Withell  11 giorni fa

                                      Me in the super market 8:32

                                      • Your father
                                        Your father  12 giorni fa

                                        I am confusion

                                        • Triodymium
                                          Triodymium  12 giorni fa

                                          So the doughnut hole is not actually taken from the ole of a doughnut, rather, it is the doughnut that is taken from the hole.

                                          • BllueBalls
                                            BllueBalls  12 giorni fa

                                            these rules apply to a sphere also, i think you need to explain the difference. if you move up on the earth you come out under, if you move right you come out left. pacman lives on a ball but there are only 4 openings, all other parts have walls on them. imagine a cross on a sphere. he lives inside the cross because he cant walk outside the walls of it.

                                            • ECL28E
                                              ECL28E  12 giorni fa

                                              There's no top/bottom hole in Pac-Man

                                              • Aron Estrada
                                                Aron Estrada  13 giorni fa

                                                0:20 when she’s freaky with food during sex

                                                • NitroNTV
                                                  NitroNTV  13 giorni fa

                                                  Everytime Michael says square, take a shot!

                                                  • John Smith
                                                    John Smith  14 giorni fa

                                                    Michael Stevens could play literally any supervillain

                                                    • Anton Yukovitch
                                                      Anton Yukovitch  14 giorni fa

                                                      I want a doughnut

                                                      • Turdbo Mitch
                                                        Turdbo Mitch  14 giorni fa

                                                        I thought you couldn't cut a donut and stretch it out into a clyinder because the inner length bis shorter then the outer length. The animation ignores this

                                                        • Andrew Paxton
                                                          Andrew Paxton  14 giorni fa

                                                          thank you for spelling doughnut correctly. some people thats its a donut. those people are wrong. it is not made out of do

                                                          • King HOTCOCO
                                                            King HOTCOCO  14 giorni fa

                                                            Now I know what you’re thinking donut, uhh, where’s the nut ( ͡° ͜ʖ ͡°)

                                                            • François Girard
                                                              François Girard  15 giorni fa

                                                              That's it, I'm going to buy a donuts right now. It look so delicious.

                                                              • J.r.L
                                                                J.r.L  15 giorni fa

                                                                “Where’s the nut” -Vsauce 2019

                                                                • OrenWD
                                                                  OrenWD  15 giorni fa

                                                                  1:16 Mmmm. OH! The old-fashioned is my favorite. *bites doughnut* *B R E A T H E S*

                                                                  • S B
                                                                    S B  16 giorni fa

                                                                    What is that WATCH he's wearing?

                                                                    • Submersible
                                                                      Submersible  16 giorni fa

                                                                      I could only concentrate on the donuts

                                                                      • Israel Wolstein
                                                                        Israel Wolstein  18 giorni fa

                                                                        I got reminded that my people, the Arabs, used to be more mathematically advanced than most other people. Then something happened but I don't need to write what that is because those that know don't need to be told and those who do not know are the kind of people known for extreme violence when faced with the truth. So I won't, can't, should but won't...

                                                                        • RK4000
                                                                          RK4000  19 giorni fa

                                                                          the square is a lie. you can never make a perfect square, which by definition means it isnt a square. so all that exists beyond theory, are rectangles, and rectangles that are almost squares.

                                                                          • B
                                                                            B  19 giorni fa

                                                                            What about cubing a cube?

                                                                            • Harits Afandy
                                                                              Harits Afandy  19 giorni fa

                                                                              1:13 i got hungry

                                                                              • The Best
                                                                                The Best  19 giorni fa

                                                                                Sorry Michael but you’re pretty wrong with this one

                                                                                • Zeriix
                                                                                  Zeriix  21 giorno fa

                                                                                  Wait. That’s illegal.

                                                                                  • who uploads rips at 3 in the morning?

                                                                                    The longer Michael's beard gets, the less sane he becomes

                                                                                    • Norma Snockers
                                                                                      Norma Snockers  21 giorno fa

                                                                                      Its called a Ring Donut .

                                                                                      • Abbey Wilson
                                                                                        Abbey Wilson  22 giorni fa

                                                                                        I'm so impressed right now

                                                                                        • Jack Nasty
                                                                                          Jack Nasty  23 giorni fa

                                                                                          but you are tricky...the paper changed colors!!!!!

                                                                                          • Jack Nasty
                                                                                            Jack Nasty  23 giorni fa

                                                                                            this theorem actual makes a little more sense to me now

                                                                                            • maqq
                                                                                              maqq  24 giorni fa

                                                                                              best stuff found on the interwebz these days let's goooooo

                                                                                              • Hong Jun
                                                                                                Hong Jun  24 giorni fa

                                                                                                My favorite Torus Shape game has to be Geometry Wars, just shoot square and squigglies in a donut surfface

                                                                                                • Hong Jun
                                                                                                  Hong Jun  24 giorni fa

                                                                                                  A for pink..... Confirmed MIchael Stevens huge kpop fan

                                                                                                  • GrandMasterKen
                                                                                                    GrandMasterKen  24 giorni fa

                                                                                                    His team and him need to teach kids in a classroom someday.

                                                                                                    • Junta Momonari
                                                                                                      Junta Momonari  25 giorni fa

                                                                                                      upper row: 99+77 left row: 99+78 right row: 77+98 bottom row: 78+100 .... pretty inconsistent rectangle

                                                                                                      • Ras Kill
                                                                                                        Ras Kill  25 giorni fa

                                                                                                        now I want a donut

                                                                                                        • Jerry Rupprecht
                                                                                                          Jerry Rupprecht  25 giorni fa

                                                                                                          After 6 months I finally realised that “fried dough convection wanna miss” actually means doughnut wanna miss

                                                                                                          • SLR Kz
                                                                                                            SLR Kz  25 giorni fa

                                                                                                            7:31 what's up with you and holes ?😂

                                                                                                            • dogsareawesome 9197
                                                                                                              dogsareawesome 9197  25 giorni fa

                                                                                                              🍩 🍩 🍩 🍩

                                                                                                              • Exxpo Marker Man
                                                                                                                Exxpo Marker Man  26 giorni fa

                                                                                                                Everyone says he’s losing his mind but in my opinion his mind is just growing past our ability of thought

                                                                                                                • Little Fish
                                                                                                                  Little Fish  26 giorni fa

                                                                                                                  I wonder, how would this actually work? An object that is doughtnut has 2 circles if you look from the top, the inside circle and the outside circle, they are different but when put into the cylinder, both edges ( top to bottom) are equal, unless the shapes properties in spacetime warp to the doughnut, there would be some problems and it wouldnt really work out to be a square....... at all....

                                                                                                                  • Kelly Wilkinson
                                                                                                                    Kelly Wilkinson  27 giorni fa

                                                                                                                    10:09 TEN-OH-NINE HAS BLOWN MY MIND.

                                                                                                                    • itsdogE
                                                                                                                      itsdogE  27 giorni fa

                                                                                                                      MY MIND BLOWNNNNNNNNNN

                                                                                                                      • Diamboy
                                                                                                                        Diamboy  28 giorni fa

                                                                                                                        Took me a while to figure out: you fried dough confection wanna miss, fried dough confection is doughnuts, you doughnut wanna miss, you do not wanna miss

                                                                                                                        • Finity
                                                                                                                          Finity  29 giorni fa

                                                                                                                          Why pacman cant be living on a globe?

                                                                                                                          • im tree
                                                                                                                            im tree  29 giorni fa

                                                                                                                            (vsauce but out content 0:17 )

                                                                                                                            • im tree
                                                                                                                              im tree  29 giorni fa

                                                                                                                              NUTS

                                                                                                                              • lachlan bevan
                                                                                                                                lachlan bevan  Mese fa

                                                                                                                                "Squaring a Square is a problem" ~Micheal 2019

                                                                                                                                • Dominick Pitre
                                                                                                                                  Dominick Pitre  Mese fa

                                                                                                                                  He is selling his half-eaten doughnuts to all you hungry gamer guys.

                                                                                                                                  • peanut ‘
                                                                                                                                    peanut ‘  Mese fa

                                                                                                                                    *only reason micheal did this is so he could eat doughnuts*

                                                                                                                                    • Chuck Kilmer
                                                                                                                                      Chuck Kilmer  Mese fa

                                                                                                                                      Wouldnt Pac-Man theoretically do the same on a sphere?

                                                                                                                                      • Fanime Productions T.V.

                                                                                                                                        One sense of the word *NuTtT*

                                                                                                                                        • MiningCreeper
                                                                                                                                          MiningCreeper  Mese fa

                                                                                                                                          I might have spent a little too long on the Torus games, haha. Thanks for sharing!

                                                                                                                                          • amanda beronilla
                                                                                                                                            amanda beronilla  Mese fa

                                                                                                                                            *B for blue, A for pink, and C for the side of the large square.*

                                                                                                                                            • Libby Wood
                                                                                                                                              Libby Wood  Mese fa

                                                                                                                                              This is the police open up we are going to confiscate those 🍩. Me: why? Police aaahhhhhh errrrrrhhhhhh foooooooor saaaaaaaaffffffty reeaaaeeasons totally not because we want to eat them. Me: uuummm okaaaay 🤨

                                                                                                                                              • mich0320 mich0320

                                                                                                                                                Yo, in Canada, we have a place called Tim Horton’s and the “first doughnuts” are called “Tim bits”. Just saying

                                                                                                                                                • Mia Schactman
                                                                                                                                                  Mia Schactman  Mese fa

                                                                                                                                                  78+99 does not equal the opposite side of 77+57+41. 99+77 does not equal the opposite side of 78+34+25+41, why aren't they?

                                                                                                                                                  • REAPER'S TOMB
                                                                                                                                                    REAPER'S TOMB  Mese fa

                                                                                                                                                    16 x 16 *A CHUNK*

                                                                                                                                                    • mokioo
                                                                                                                                                      mokioo  Mese fa

                                                                                                                                                      "Or is it well kind of except not really." - Michael "Vsauce" Stevens 2019

                                                                                                                                                      • Ali Azar
                                                                                                                                                        Ali Azar  Mese fa

                                                                                                                                                        Thanks for the video. a slight correction though. Al-Nayrizi was Persian from Iran, not an Arabia from Arabia

                                                                                                                                                        • lucas
                                                                                                                                                          lucas  Mese fa

                                                                                                                                                          Mom, come pick me up, I'm squared