Unexpected Shapes (Part 1) - Numberphile

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  • čas přidán 17. 11. 2015
  • Tadashi Tokieda cuts various combinations of loops and Mobius loops - with surprising results.
    More links & stuff in full description below ↓↓↓
    Part 2: • Unexpected Shapes (Par...
    And more: bit.ly/tadashi_vids
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    Videos by Brady Haran
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Komentáře • 851

  • @cmd2tuts
    @cmd2tuts Před 8 lety +2660

    I saw the foot and thought, "Well, surely this will be the most unexpected thing in the video."
    But then he made a square from 2 circles.

    • @AuroCords
      @AuroCords Před 8 lety +95

      +Druidtton Darksun for a sec I was like: "wait, why does he have an extra hand?"

    • @AuroCords
      @AuroCords Před 8 lety +6

      nah son...

    • @Wawet76
      @Wawet76 Před 8 lety +9

      +Druidtton Darksun I was "Hu... all the comments are going to be about that" :)

    • @sst710
      @sst710 Před 8 lety +28

      +Druidtton Darksun "All these squares make a circle..."

    • @8ytan
      @8ytan Před 8 lety +3

      +Hank Scorpio That was the first thing I thought of.

  • @SimaanFreeloader
    @SimaanFreeloader Před 8 lety +2107

    Why doesn't James Grime ever use his feet for any of his mathematics?

    • @numberphile
      @numberphile  Před 8 lety +550

      +Simon G I'll ask

    • @max19970
      @max19970 Před 8 lety +13

      +Simon G xD

    • @DavorNL
      @DavorNL Před 8 lety +48

      +Numberphile best comment ever

    • @TheTheads0
      @TheTheads0 Před 8 lety +55

      +Simon G I imagine it is quite a feat!

    • @NikopolAU
      @NikopolAU Před 8 lety +5

      +Simon G Because he still has his hooves. He's removed the horns just to be more convincing on the video.

  • @EGarrett01
    @EGarrett01 Před 8 lety +1406

    1. He totally understands the topic.
    2. He WANTS to show it to you.
    Two qualities that are almost non-existent in most teachers.

    • @slendy9600
      @slendy9600 Před 8 lety +21

      and teachers that do have those qualities are ALWAYS awesome luckily most of my teachers were like that in year 12 where it really mattered :D

    • @ello-olle
      @ello-olle Před 5 lety +3

      You talking about his feet?😂

    • @ragnarokvii
      @ragnarokvii Před 5 lety +1

      what i aspire to be if i ever become a teacher c:

    • @leo17921
      @leo17921 Před 5 lety +4

      i mean most teachers have 1, now having 2 is a different story

    • @mickeydee3464
      @mickeydee3464 Před 4 lety

      Agreed the most fascinating teacher I ever had

  • @30LayersOfKevlar
    @30LayersOfKevlar Před 8 lety +796

    Well this is the fist time I've seen someone do mathematical presentation using feet. Truly an innovator in the field of education.

  • @Erik-yw9kj
    @Erik-yw9kj Před 8 lety +1533

    I like this guy. =) He's fun to watch.

    • @cosmonaut379
      @cosmonaut379 Před 8 lety +28

      Same here this one was pretty cool video I like it, interesting accent he has

    • @fburton8
      @fburton8 Před 8 lety +22

      +Brian Cramer He knows how to pronounce Möbius!

    • @yannitsetsekos3555
      @yannitsetsekos3555 Před 8 lety +1

      +Erik did you take your profile picture?

    • @ErikHalboth
      @ErikHalboth Před 8 lety +1

      Same he's cool.

    • @Erik-yw9kj
      @Erik-yw9kj Před 8 lety +1

      Yanni Tsetsekos I did, yes. =)

  • @PureZOOKS
    @PureZOOKS Před 8 lety +144

    "I'm going to apply the violence"
    I like this man, more videos with Prof Tokieda please

  • @KironKabir
    @KironKabir Před 8 lety +350

    when he popped his foot out, i lost it 😂

  • @bulman07
    @bulman07 Před 8 lety +740

    Why did the chicken cross the Möbius strip? To get to the same side!

    • @NoConsequenc3
      @NoConsequenc3 Před 8 lety +23

      +Andrew Bulman
      Actually this makes me wonder... would there be a speed limit on a Möbius strip? For instance, at what speed would you have to go in order to be traveling through your own wind-tunnel and suffocate?

    • @EGarrett01
      @EGarrett01 Před 8 lety +1

      +Pseudo Lain
      Ask those motorcyclists who ride around the inside of those giant spheres.

    • @NoConsequenc3
      @NoConsequenc3 Před 8 lety

      EGarrett01
      Well, that's a little different from what I imagined, which was a bisected tube but meh

    • @EGarrett01
      @EGarrett01 Před 8 lety +1

      Pseudo Lain
      Yeah, but it's still an infinite surface where you loop back on the space you just left pretty quickly.

    • @gnomee9447
      @gnomee9447 Před 8 lety +1

      +Andrew Bulman Didn't know that one :D I laughed so hard I almost overturned my chair. Luckily it's ball-shaped ;)

  • @dominikstepien2000
    @dominikstepien2000 Před 8 lety +242

    Why weren't loops made from brown paper?

    • @bacon.cheesecake
      @bacon.cheesecake Před 8 lety +4

      +dominikstepien2000 i feel like that's a poop joke, but i'm not quite sure.

    • @adirbarak5256
      @adirbarak5256 Před 8 lety +38

      +Bacon CheeseCake no numberphilia always uses brown paper to write down things and as a background for animations

    • @bacon.cheesecake
      @bacon.cheesecake Před 8 lety +48

      אדיר ברק oh, well now i feel lika a childish idiot.

    • @NoConsequenc3
      @NoConsequenc3 Před 8 lety +16

      +Bacon CheeseCake
      Haha, don't feel bad. It's the internet, stay here long enough and anyone would end up like this

    • @bacon.cheesecake
      @bacon.cheesecake Před 8 lety

      Pseudo Lain that makes sense.

  • @yonjuunininjin
    @yonjuunininjin Před 8 lety +140

    If he would be 20-30 years younger, doing this while sitting in a corner... everyone would call him insane, but yeah, he is a mathematician, so noone here is surprised :D

    • @cosmonaut379
      @cosmonaut379 Před 8 lety

      this statement is very true lol

    • @davidjoffe-hunter7016
      @davidjoffe-hunter7016 Před 8 lety +20

      +Ninjin Mathematicians really can be insane without being surprising. Look at Cliff and his Klein bottles

    • @yonjuunininjin
      @yonjuunininjin Před 8 lety +1

      David Joffe-Hunter What have you done! :D Somehow I didn't see it in my subscription...

    • @NoConsequenc3
      @NoConsequenc3 Před 8 lety +10

      +Ninjin
      Mathematicians ARE insane. It's a job requirement.

    • @davidjoffe-hunter7016
      @davidjoffe-hunter7016 Před 8 lety

      Xavier Fuentes
      Yeah, I went slightly off the requirements route

  • @j0nthegreat
    @j0nthegreat Před 8 lety +271

    he's got a fun voice. i especially like the way he says "mobius"

    • @BigyetiTechnologies
      @BigyetiTechnologies Před 8 lety +16

      +j0nthegreat My son on the other side of the room thought he was saying boobies.

    • @emilgillberg
      @emilgillberg Před 8 lety +4

      +j0nthegreat Well, that is almost how you pronounce it in german and also in Swedish. We in the Northern European countries have quiet a funny accent :)

    • @DekuStickGamer
      @DekuStickGamer Před 8 lety +2

      +j0nthegreat moobius

    • @andreas3925
      @andreas3925 Před 8 lety +2

      +j0nthegreat
      Möbius ( "To pronounce the ö-sound, say “ay” as in day. While continuing to make this sound, tightly round your lips. Look in a mirror to make sure your lips are actually rounded." )

    • @SelvesteDovregubben
      @SelvesteDovregubben Před 8 lety +3

      +KILROY Jenkins What? In Norwegian, it's more akin to the "u" in church

  • @ethanb7657
    @ethanb7657 Před 8 lety +86

    One minute in, foot is already out.

  • @MineralManiac
    @MineralManiac Před 8 lety +174

    Great footage!

  • @raykent3211
    @raykent3211 Před 8 lety +52

    At 1:57 "...and now you're thinking Tadashi can't count...". lol

  • @sadkritx6200
    @sadkritx6200 Před 3 lety +12

    Those two mobius strips turning into 2 hearts was so unexpected. You could say its an example of the beauty of mathematics lol😅

  • @onjit
    @onjit Před 8 lety +39

    More of this guy please.

  • @Jullan-M
    @Jullan-M Před 8 lety +10

    This guy is genuinely one of the most (seemingly) passionate ones I've seen featured on numberphile. He got his pedagogy on lockdown and acts very charming but still devoted to keep his audience drawn in. Great guy and video!

  • @jackkingers
    @jackkingers Před 8 lety +18

    I had a lecture from Mr Tokieda earlier this year at KCL, and I can say that he is just as interesting in person as he is in this video. It's so apparent how clever this guy is!

  • @TheKalluto
    @TheKalluto Před 8 lety +105

    did he just... SQUARE A CIRCLE?

  • @rasput1n6
    @rasput1n6 Před 8 lety +334

    *This would be an amazing trick to get married isnt it?*

    • @YouCanHasAccount
      @YouCanHasAccount Před 8 lety +54

      +rasput1n6 but he didn't show what happens with same chirality marriages

    • @chrisberry7640
      @chrisberry7640 Před 8 lety +5

      +YouCanHasAccount he does in part 2, link in the description

    • @TheIslandwaters
      @TheIslandwaters Před 8 lety

      +Chris Berry still not yet. I assume that he will explain in part 3.

    • @Ruminations09
      @Ruminations09 Před 8 lety +1

      +Michael Nguyen
      No, he showed it in part 2.

    • @monochromeboi267
      @monochromeboi267 Před 5 lety +10

      Same chirality marriage is unnatural.

  • @mastermike890
    @mastermike890 Před 8 lety +398

    I

    • @numberphile
      @numberphile  Před 8 lety +15

      +Michael Schepis do share it then!

    • @MrMistery101
      @MrMistery101 Před 8 lety +4

      +Numberphile Don't worry, I'm sure it will end up on facebook on someone else's account.

    • @gnomee9447
      @gnomee9447 Před 8 lety +2

      +Michael Schepis
      I do εx3 it, too.

    • @EpicGamer-te6cm
      @EpicGamer-te6cm Před 5 lety

  • @richardgaule9415
    @richardgaule9415 Před 8 lety +116

    This video would probably get a lot more views if the thumbnail was his foot lololol

  • @GustavEinarsson
    @GustavEinarsson Před 8 lety +143

    Has Tadashi appeared in other videos? I reallly like the way he explains things, hope to see more of him :)

    • @GnomeInvasion
      @GnomeInvasion Před 8 lety +12

      +Gustav Einarsson Yes, he has a lecture series on introductory Topology, I highly recommend it. He does a few more examples of this kind in the first lecture, what I will say is that an introductory course in Linear Algebra will give you a bit more insight into some of his examples and exercises but other than that it's pretty self contained given that you have at least gone through introductory undergrad Calculus, that is what I would say is the minimum amount of mathematical rigor that you should be exposed to before taking this course, at least if you want to go through the whole thing. But if you'd just like to hear him talk you could watch the introduction lecture to that course, it's pretty damn entertaining.

  • @MichaelBoratko
    @MichaelBoratko Před 8 lety +1

    My favorite mathematician, now on Numberphile! Doesn't get any better!

  • @reubensugars
    @reubensugars Před 8 lety +55

    what about mk mobius strips with the same chirality?

    • @numberphile
      @numberphile  Před 8 lety +18

      +reubensugars czcams.com/video/mh3eMt09EAs/video.html

  • @DaxterL
    @DaxterL Před 8 lety +10

    This would be a really cool trick to do at the wedding like making the first two and quiet dissapoiting them and then making möbius against möbius and surprising them nicely ^^

  • @marsCubed
    @marsCubed Před 8 lety +114

    Why did the chicken cross the Möbius strip?
    To get to the same side.

  • @billyrunsaplumbingservice1141

    I love how the camera shakes and zoomed in violently as if it was a comedy skit type of a video

  • @Violetcas97
    @Violetcas97 Před 7 lety +3

    I love watching this guy. He's so entertaining. I think it may just be because hes kind of silly (I mean, he's sitting on the floor and held the paper with his toes) and obviously passionate about showing us something that most people might see as mundane, but he wants to show us how cool it is.

  • @lpsp442
    @lpsp442 Před 8 lety +2

    First time in a long time I've genuinely not known what's going to go happen next on a math/logic vid, absolutely enrapturing

  • @Slithy
    @Slithy Před 8 lety +2

    Now, this was something. A long time since i've had so much fun watching a Numberphile video. Awesome voice, awesome topic and surprise feet.

  • @matt09ward
    @matt09ward Před 8 lety +72

    what is with numberphile and mobius loops?

    • @tomrivlin7278
      @tomrivlin7278 Před 8 lety +112

      +Matt Ward yeah it's a really one-sided video.

    • @klaxoncow
      @klaxoncow Před 8 lety +15

      +Tom Rivlin True, but they do go on and on forever about them. It's some kind of twisted obsession, really. They seem singularly minded about it all.
      [Insert more moebius puns here]

    • @jigurd
      @jigurd Před 8 lety +2

      +Matt Ward Because it has a lot of interesting properties, can be used for fun practical things like this and can serve as a springboard for talking about universes with four spatial dimensions.

    • @dlee645
      @dlee645 Před 8 lety +1

      +KlaxonCow Ha!

    • @user-kh5tv9rb6y
      @user-kh5tv9rb6y Před 8 lety +4

      +Matt Ward Mobius loops are awesome.

  • @Sainty-0
    @Sainty-0 Před 8 lety

    Favourite videos on this channel for a while. Love this guy. More Tadashi!

  • @goolick
    @goolick Před 8 lety

    One of my favorite Numberphile videos. Great topic, great pace, great person

  • @Tzelemel
    @Tzelemel Před 8 lety +3

    I tried this out when I read Matt Parker's book. It never occurred to me to use a cross to make those linked loops though. Wish I'd known about that trick earlier.

  • @hackleberrym
    @hackleberrym Před 8 lety +38

    He actually used his foot in this video, lol. :D

  • @tuscan121
    @tuscan121 Před 8 lety +1

    "Apply in all sorts of contexts, and I hope you make good use of it" Bringing mathematics into the real world, very well done :)

  • @dancoulson6579
    @dancoulson6579 Před 6 lety

    I'd like to see more of this man in your videos.
    He's so well spoken and genuine.

  • @AnOlympicJumper
    @AnOlympicJumper Před 8 lety +1

    More from this guy in the future please! He seems very intelligent and he makes it personal and fun

  • @cbooth2004
    @cbooth2004 Před 8 lety

    Delightful!
    A very enjoyable video. Thank you.

  • @tinglydingle
    @tinglydingle Před 8 lety

    Brady, Mr. Tokieda is FANTASTIC!! Please can we have future videos with him because this was one of my favourite videos you've ever made.

  • @jasondoe2596
    @jasondoe2596 Před 8 lety

    Super-awesome - eagerly awaiting part #2 and the extra videos!

    • @ParishaUllah
      @ParishaUllah Před 8 lety +1

      +Jason “cyberspace entity” Doe Psst, look in the description ;) Part 2 is unlisted, there's a link there.

  • @Cee2TheZee
    @Cee2TheZee Před 4 lety +4

    3:41 chöp chöp

  • @narayananms620
    @narayananms620 Před 7 lety

    love the clarity in his explanation

  • @Quantiad
    @Quantiad Před 8 lety

    This guy is fantastic. More of him please.

  • @christophersavarese7356

    Oh my gosh, I am watching Tadashi Tokieda. I love this guy and I love you for having him on Numberphile.

  • @JL-ke2vm
    @JL-ke2vm Před rokem +1

    I can listen to professor Tadashi Tokieda and Terence Tao all day errday🙏

  • @Gredunza
    @Gredunza Před 8 lety

    This was incredibly interesting, and Tokieda is an amazing presenter.

  • @7ix6iii82
    @7ix6iii82 Před 4 lety

    Wow amazing! Such a beautiful thing. I need to see its e.q. on the blackboard too!

  • @kieranholt5110
    @kieranholt5110 Před 8 lety

    Brilliant video

  • @jimbo573
    @jimbo573 Před 8 lety

    This guy is great! Loved this one.

  • @Borednesss
    @Borednesss Před 8 lety

    This guy is awesome! Would love to see more from him. I thought my days of being entertained with paper, tape and scissors were over

  • @MetaBuddha
    @MetaBuddha Před 8 lety +1

    Tokieda-san is wonderful. I would love to see more videos with him. His voice is golden.

  • @rantaleksi7086
    @rantaleksi7086 Před 8 lety

    This has to be the best numberphile video I have seen so far.

  • @ace.of.space.
    @ace.of.space. Před 8 lety

    This was a very interesting video! Mr. Tokeida's hands (and feet!) on explanations are very nice to watch and listen. And now I have a little trick to make some hearts! Thank you, Brady and Mr. Tokeida, for this.

  • @chadster225
    @chadster225 Před 8 lety

    very interesting, looking forward to more vids with this guy :)

  • @gwvaio
    @gwvaio Před 8 lety +13

    Should have waited til valentines to do this

  • @shawniscoolerthanyou
    @shawniscoolerthanyou Před 8 lety

    This is awesome. A new "twist" on an old trick!

  • @aryanshah7436
    @aryanshah7436 Před 2 lety +1

    As a high schooler who loves maths, my mind was blown to know that shape other than circles can show up at unexpected places

  • @Paxsali
    @Paxsali Před 8 lety

    One of the coolest videos recently.

  • @SteveyyyK
    @SteveyyyK Před 8 lety

    More of Tadashi please! He is very good at explaining exactly what is going on, I can tell he would be an excellent teacher.

  • @junxxx8676
    @junxxx8676 Před 8 lety

    OMG! This needs more views!!! That's so cool!

  • @tub3scr3am3r
    @tub3scr3am3r Před 8 lety

    MIND BLOWN

  • @TGC40401
    @TGC40401 Před 8 lety

    The beauty is in the simplicity. This was pretty cool.

  • @katiekawaii
    @katiekawaii Před 8 lety

    I could watch him cut loops in half all day! :) He's delightful.

  • @vinayutubeaccount
    @vinayutubeaccount Před 8 lety

    My new favourite Numberphiler!

  • @JeroenBaxexm
    @JeroenBaxexm Před 8 lety

    i am fan of this guy....awesome episodes!

  • @phatrickmoore
    @phatrickmoore Před 8 lety

    Fun stuff. More from him!

  • @NostalgiaGames_Gamer
    @NostalgiaGames_Gamer Před 8 lety +1

    this is legendary , Prof. Tadashi Tokieda on a numberphile video

  • @HeavyboxesDIYMaster
    @HeavyboxesDIYMaster Před 8 lety +39

    Excuse me while I pick up the pieces of my blown mind.

  • @Hecatonicosachoron
    @Hecatonicosachoron Před 8 lety

    I quite like these videos - more like these would be great! I am sure they can be formalised a bit more as well!

  • @WTFSt0n3d
    @WTFSt0n3d Před 3 lety +1

    When a mathematician gets rid of his socks to show you geometric objects you know he is getting serious

  • @vexrav
    @vexrav Před 8 lety

    I really like Tadashi Tokieda, his explanations are really good!

  • @vinaloi41
    @vinaloi41 Před 8 lety

    This man was born to be in front of a camera. Please have more with him. He blew my mind and I'm sure he has even better stuff

  • @ethannguyen2754
    @ethannguyen2754 Před 3 lety +1

    I just started watching some lectures from this guy

  • @Roshkin
    @Roshkin Před 8 lety

    This precise paper trick helped me get through a hospital stay. when you only have paper and tape, this is how I sculpt.

  • @MisterMajister
    @MisterMajister Před 8 lety

    This guy is so awesome.

  • @Q8Police777
    @Q8Police777 Před 8 lety +6

    That guy has a seriously soothing voice

  • @MichaelFrancisRay
    @MichaelFrancisRay Před 8 lety

    I could watch this guy cut papers all day long. Awesome Video.

  • @EnigmacTheFirst
    @EnigmacTheFirst Před 5 lety +4

    1:10 "In order to do this I am going to apply the violence."

  • @Kyleschannelz
    @Kyleschannelz Před 8 lety

    So simple, yet so complex. This was so cool.

  • @andrewcdavies
    @andrewcdavies Před 4 lety

    Fascinating.

  • @jedorbit5551
    @jedorbit5551 Před 3 lety +4

    3:43 Literally gave me goosebumps- (Mobius strip into 1/3 Loona member's representative shapes)
    Shout-out to all orbits and babybits delving deep into the loonaverse at midnight! 🌚🌟

    • @lkr0805
      @lkr0805 Před 3 lety +3

      dude
      haseul is back!

  • @jamesrobinson949
    @jamesrobinson949 Před 8 lety +1

    I would really like to see more of this guy.

  • @mortelli7
    @mortelli7 Před 8 lety

    It's Professor Tadashi! AHHH! :D I love his lectures from the AMS!

  • @SteveFrenchWoodNStuff
    @SteveFrenchWoodNStuff Před 8 lety

    Unexpected shapes indeed. Very cool!

  • @tspamtyahoocom
    @tspamtyahoocom Před 8 lety

    For some reason, this is captivating!

  • @BunnyFett
    @BunnyFett Před 8 lety

    This was a really fun video.

  • @AsymptoteInverse
    @AsymptoteInverse Před 7 lety +3

    Dr. Tokieda has a very pleasant voice.

  • @otakuribo
    @otakuribo Před 8 lety +1

    You find the best professors to feature in these videos. :D
    I am going to go cut up so much paper now

  • @PoliticalJohn
    @PoliticalJohn Před 8 lety

    fantastic!

  • @EmdrGreg
    @EmdrGreg Před 8 lety

    Unexpected, and wonderful.

  • @jesuispepelepew7574
    @jesuispepelepew7574 Před 8 lety

    Tadashi's voice makes me happy inside

  • @fretlord4201
    @fretlord4201 Před 8 lety

    I was messing around with these, and cut a strip off of each side simultaneously, with pretty neat results.
    If you take a Mobious strip and fold it in half all the way around, you run into a problem that seems to say the shape is not really "one sided." I mean, aside from the fact that you can see both sides of it.

  • @bootblacking
    @bootblacking Před 8 lety

    I found this video extremely relaxing.

  • @german7643
    @german7643 Před 6 lety

    I love this man!!!

  • @CUMBICA1970
    @CUMBICA1970 Před 8 lety

    I gotta say this was genuinely interesting. And fun.

  • @strontkakpis
    @strontkakpis Před 8 lety +3

    0:50 Sofa so good^^

  • @theleastcreative
    @theleastcreative Před 8 lety

    This man is wonderful

  • @bysaim7977
    @bysaim7977 Před 4 lety

    awesome..... love this Method ❤️❤️❤️