Unexpected Shapes (Part 1) - Numberphile

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  • Опубликовано: 4 окт 2024
  • 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_...
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Комментарии • 853

  • @cmd2tuts
    @cmd2tuts 9 лет назад +2661

    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 9 лет назад +95

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

    • @AuroCords
      @AuroCords 9 лет назад +6

      nah son...

    • @Wawet76
      @Wawet76 9 лет назад +9

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

    • @sst710
      @sst710 9 лет назад +28

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

    • @8ytan
      @8ytan 9 лет назад +3

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

  • @CompoundInterest-SG
    @CompoundInterest-SG 9 лет назад +2110

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

    • @numberphile
      @numberphile  9 лет назад +552

      +Simon G I'll ask

    • @max19970
      @max19970 9 лет назад +13

      +Simon G xD

    • @DavorNL
      @DavorNL 9 лет назад +47

      +Numberphile best comment ever

    • @TheTheads0
      @TheTheads0 9 лет назад +55

      +Simon G I imagine it is quite a feat!

    • @NikopolAU
      @NikopolAU 9 лет назад +5

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

  • @30LayersOfKevlar
    @30LayersOfKevlar 9 лет назад +795

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

    • @23kl104
      @23kl104 5 лет назад +2

      I just noticed that after this comment

    • @cakeman58
      @cakeman58 5 лет назад +3

      23kl104 Tadashi is famous for this.

    • @professionalneet5820
      @professionalneet5820 4 года назад +7

      Tarantino approves

    • @PC_Simo
      @PC_Simo Год назад

      My thoughts, exactly 😅.

    • @Triantalex
      @Triantalex Год назад

      ??

  • @EGarrett01
    @EGarrett01 9 лет назад +1405

    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 9 лет назад +20

      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 5 лет назад +3

      You talking about his feet?😂

    • @ragnarokvii
      @ragnarokvii 5 лет назад +1

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

    • @leo17921
      @leo17921 5 лет назад +4

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

    • @mickeydee3464
      @mickeydee3464 5 лет назад

      Agreed the most fascinating teacher I ever had

  • @Erik-yw9kj
    @Erik-yw9kj 9 лет назад +1529

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

    • @cosmonaut379
      @cosmonaut379 9 лет назад +28

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

    • @fburton8
      @fburton8 9 лет назад +22

      +Brian Cramer He knows how to pronounce Möbius!

    • @yannitsetsekos3555
      @yannitsetsekos3555 9 лет назад +1

      +Erik did you take your profile picture?

    • @ErikHalboth
      @ErikHalboth 9 лет назад +1

      Same he's cool.

    • @Erik-yw9kj
      @Erik-yw9kj 9 лет назад +1

      Yanni Tsetsekos I did, yes. =)

  • @PureZOOKS
    @PureZOOKS 9 лет назад +142

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

  • @dominikstepien2000
    @dominikstepien2000 9 лет назад +241

    Why weren't loops made from brown paper?

    • @bacon.cheesecake
      @bacon.cheesecake 9 лет назад +4

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

    • @adirbarak5256
      @adirbarak5256 9 лет назад +38

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

    • @bacon.cheesecake
      @bacon.cheesecake 9 лет назад +48

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

    • @NoConsequenc3
      @NoConsequenc3 9 лет назад +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 9 лет назад

      Pseudo Lain that makes sense.

  • @bulman07
    @bulman07 9 лет назад +737

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

    • @NoConsequenc3
      @NoConsequenc3 9 лет назад +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 9 лет назад +1

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

    • @NoConsequenc3
      @NoConsequenc3 9 лет назад

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

    • @EGarrett01
      @EGarrett01 9 лет назад +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 9 лет назад +1

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

  • @Jullan-M
    @Jullan-M 9 лет назад +9

    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!

  • @onjit
    @onjit 9 лет назад +39

    More of this guy please.

  • @jackkingers
    @jackkingers 9 лет назад +17

    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!

  • @MineralManiac
    @MineralManiac 9 лет назад +174

    Great footage!

  • @KironKabir
    @KironKabir 9 лет назад +347

    when he popped his foot out, i lost it 😂

  • @yonjuunininjin
    @yonjuunininjin 9 лет назад +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 9 лет назад

      this statement is very true lol

    • @davidjoffe-hunter7016
      @davidjoffe-hunter7016 9 лет назад +20

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

    • @yonjuunininjin
      @yonjuunininjin 9 лет назад +1

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

    • @NoConsequenc3
      @NoConsequenc3 9 лет назад +10

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

    • @davidjoffe-hunter7016
      @davidjoffe-hunter7016 9 лет назад

      Xavier Fuentes
      Yeah, I went slightly off the requirements route

  • @j0nthegreat
    @j0nthegreat 9 лет назад +270

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

    • @BigyetiTechnologies
      @BigyetiTechnologies 9 лет назад +16

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

    • @emilgillberg
      @emilgillberg 9 лет назад +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 9 лет назад +2

      +j0nthegreat moobius

    • @andreas3925
      @andreas3925 8 лет назад +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 8 лет назад +3

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

  • @sadkritx6200
    @sadkritx6200 3 года назад +12

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

  • @ethanb7657
    @ethanb7657 8 лет назад +86

    One minute in, foot is already out.

  • @mastermike890
    @mastermike890 9 лет назад +396

    I

    • @numberphile
      @numberphile  9 лет назад +15

      +Michael Schepis do share it then!

    • @MrMistery101
      @MrMistery101 9 лет назад +4

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

    • @gnomee9447
      @gnomee9447 9 лет назад +2

      +Michael Schepis
      I do εx3 it, too.

    • @EpicGamer-te6cm
      @EpicGamer-te6cm 5 лет назад

  • @richardgaule9415
    @richardgaule9415 9 лет назад +116

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

  • @MichaelBoratko
    @MichaelBoratko 9 лет назад +1

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

  • @TheKalluto
    @TheKalluto 8 лет назад +105

    did he just... SQUARE A CIRCLE?

  • @reubensugars
    @reubensugars 9 лет назад +56

    what about mk mobius strips with the same chirality?

    • @numberphile
      @numberphile  9 лет назад +18

      +reubensugars ruclips.net/video/mh3eMt09EAs/видео.html

  • @rasput1n6
    @rasput1n6 9 лет назад +334

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

    • @YouCanHasAccount
      @YouCanHasAccount 9 лет назад +54

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

    • @chrisberry7640
      @chrisberry7640 9 лет назад +5

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

    • @TheIslandwaters
      @TheIslandwaters 9 лет назад

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

    • @Ruminations09
      @Ruminations09 9 лет назад +1

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

    • @monochromeboi267
      @monochromeboi267 6 лет назад +10

      Same chirality marriage is unnatural.

  • @raykent3211
    @raykent3211 8 лет назад +51

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

  • @GustavEinarsson
    @GustavEinarsson 9 лет назад +141

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

    • @GnomeInvasion
      @GnomeInvasion 9 лет назад +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.

  • @billyrunsaplumbingservice1141
    @billyrunsaplumbingservice1141 2 года назад +1

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

  • @DaxterL
    @DaxterL 8 лет назад +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 ^^

  • @Violetcas97
    @Violetcas97 8 лет назад +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 8 лет назад +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

  • @marsCubed
    @marsCubed 9 лет назад +113

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

  • @matt09ward
    @matt09ward 9 лет назад +72

    what is with numberphile and mobius loops?

    • @tomrivlin7278
      @tomrivlin7278 9 лет назад +112

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

    • @klaxoncow
      @klaxoncow 9 лет назад +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 9 лет назад +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 9 лет назад +1

      +KlaxonCow Ha!

    • @MinusPi-p9c
      @MinusPi-p9c 9 лет назад +4

      +Matt Ward Mobius loops are awesome.

  • @Slithy
    @Slithy 9 лет назад +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.

  • @AnOlympicJumper
    @AnOlympicJumper 9 лет назад +1

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

  • @christophersavarese7356
    @christophersavarese7356 9 лет назад

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

  • @Tzelemel
    @Tzelemel 8 лет назад +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.

  • @tuscan121
    @tuscan121 9 лет назад +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 6 лет назад

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

  • @aryanshah7436
    @aryanshah7436 2 года назад +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

  • @rantaleksi7086
    @rantaleksi7086 9 лет назад

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

  • @SteveyyyK
    @SteveyyyK 9 лет назад

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

  • @MetaBuddha
    @MetaBuddha 9 лет назад +1

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

  • @Cold_Ham_on_Rye
    @Cold_Ham_on_Rye 9 лет назад

    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

  • @jedorbit5551
    @jedorbit5551 3 года назад +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 3 года назад +3

      dude
      haseul is back!

  • @Roshkin
    @Roshkin 9 лет назад

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

  • @19sljwada
    @19sljwada Год назад +1

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

  • @hackleberrym
    @hackleberrym 9 лет назад +38

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

  • @HeavyboxesDIYMaster
    @HeavyboxesDIYMaster 9 лет назад +39

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

  • @tinglydingle
    @tinglydingle 9 лет назад

    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.

  • @goolick
    @goolick 9 лет назад

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

  • @Sainty-0
    @Sainty-0 9 лет назад

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

  • @Q8Police777
    @Q8Police777 9 лет назад +6

    That guy has a seriously soothing voice

  • @TGC40401
    @TGC40401 9 лет назад

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

  • @EnigmacTheFirst
    @EnigmacTheFirst 6 лет назад +5

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

  • @ethannguyen2754
    @ethannguyen2754 3 года назад +1

    I just started watching some lectures from this guy

  • @jamesrobinson949
    @jamesrobinson949 9 лет назад +1

    I would really like to see more of this guy.

  • @narayananms620
    @narayananms620 8 лет назад

    love the clarity in his explanation

  • @gwvaio
    @gwvaio 9 лет назад +13

    Should have waited til valentines to do this

  • @ClevorBelmont
    @ClevorBelmont 5 лет назад +1

    Best voices on Numberphile
    1. Tadashi
    2. Prof. Eisenbud
    3. Neil Sloane
    Anyone else come back to Tadashi’s vids just to hear him speak? 😂

  • @NoConsequenc3
    @NoConsequenc3 9 лет назад +4

    This channel is getting to be 50% videos on mobius strips
    Not that I'm complaining, just something I noticed

  • @darkmadder9897
    @darkmadder9897 5 лет назад

    So, if you take a couple of straight loopers that ultimately would end up square in a flat existence, but instead you make them twisted, - they ultimately become a pair of entwined hearts. Magical mathematics!

  • @fretlord4201
    @fretlord4201 8 лет назад

    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.

  • @6million1
    @6million1 9 лет назад +1

    I like this guy the most out of probably all people shown on the show.

  • @69Neoares69
    @69Neoares69 9 лет назад +57

    what happens with 2 möbius into the same direction?

    • @mikeballardutah
      @mikeballardutah 9 лет назад +2

      I guess we have to do it ourselves.

    • @XFreeStyleZX
      @XFreeStyleZX 9 лет назад

      +Neoares I'll just leave a comment here in case someone answers.
      Best of luck

    • @numberphile
      @numberphile  9 лет назад +11

      +XFreeStyleZX or click the links under the video

    • @broman444
      @broman444 9 лет назад

      +Neoares Watch the video on the left at the end of this one.

    • @randomdogdog
      @randomdogdog 9 лет назад

      +Neoares
      they put it in the "why squares" video,
      link at end of video.
      it is currently locked for some reason

  • @jesuispepelepew7574
    @jesuispepelepew7574 9 лет назад

    Tadashi's voice makes me happy inside

  • @katiekawaii
    @katiekawaii 9 лет назад

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

  • @BladedEdge123
    @BladedEdge123 9 лет назад

    Hopefully this guy is a teacher somewhere and there are either young kids, learning teenagers or interested adults who are taking what has got to be an incredibly interesting class.
    It was presentation like this and teachers who took the time to put enough 'fun' into what could otherwise be very dull and lifeless material that really left an impression on me, made me wanting to learn and so on.
    If only every child could grow up with teachers with this level of skill, care and enthusiasm about whatever they were teaching, I'd think the world would be a better place overall.
    So er, if you grew up with such be grateful, if you did not please don't let it ruin your desire to learn. It can, in fact, be genuinely fun, not just boring busy work you'll never have any use for.

  • @dexterr727
    @dexterr727 5 лет назад

    I love everytime he says "Mobious", it is so enjoyable.

  • @AsymptoteInverse
    @AsymptoteInverse 7 лет назад +3

    Dr. Tokieda has a very pleasant voice.

  • @7ix6iii82
    @7ix6iii82 4 года назад

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

  • @strontkakpis
    @strontkakpis 9 лет назад +3

    0:50 Sofa so good^^

  • @pietrocelano23
    @pietrocelano23 9 лет назад

    it is like to mix the nintendo trailer video and numberphile! what a magical thing!

  • @shawniscoolerthanyou
    @shawniscoolerthanyou 8 лет назад

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

  • @vinayutubeaccount
    @vinayutubeaccount 9 лет назад

    My new favourite Numberphiler!

  • @NostalgiaGames_Gamer
    @NostalgiaGames_Gamer 9 лет назад +1

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

  • @Ryuuuuuk
    @Ryuuuuuk 8 лет назад

    two mobius strips -> perfect present for valentines day.
    thanks Mr. Tokieda! :)

  • @bootblacking
    @bootblacking 9 лет назад

    I found this video extremely relaxing.

  • @otakuribo
    @otakuribo 9 лет назад +1

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

  • @Quantiad
    @Quantiad 9 лет назад

    This guy is fantastic. More of him please.

  • @MichaelFrancisRay
    @MichaelFrancisRay 9 лет назад

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

  • @jacktumbleweed
    @jacktumbleweed 9 лет назад +27

    le me: "Well this is some interesting stuff."
    *watches final cuts*
    *eyes widen*
    *jaw hits floor*
    le me: " *I CAN GET GIRLS WITH MATHS?!* "

  • @Borednesss
    @Borednesss 9 лет назад

    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

  • @tub3scr3am3r
    @tub3scr3am3r 9 лет назад

    MIND BLOWN

  • @WTFSt0n3d
    @WTFSt0n3d 3 года назад +1

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

  • @tymo7777
    @tymo7777 9 лет назад +6

    Used his feet. Immediately a fan of this guy

  • @EliosMao
    @EliosMao 9 лет назад

    we need more Tadashi in our life.

  • @gabrieldavis3071
    @gabrieldavis3071 8 лет назад +1

    I made a mobius loop (kind of) that has NO chirality!
    Step one: make the mobius loop like usual,
    Step two: make a cut half way into the loop, not down the center, but from the edge TO the center.
    Step three: make a cut down the center, but not all the way (like 2 inches.)
    Step four: turn the strip so it has opposite chirality to the other, and tape it back together like that, and you will have a 3 edged, 1 sided object. (WHEW!)

  • @ace.of.space.
    @ace.of.space. 9 лет назад

    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.

  • @vera599
    @vera599 9 лет назад

    I think he could be my new favourite numberphile lecturer.

  • @vexrav
    @vexrav 9 лет назад

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

  • @tspamtyahoocom
    @tspamtyahoocom 9 лет назад

    For some reason, this is captivating!

  • @zayonkiber2510
    @zayonkiber2510 5 лет назад +1

    What a twist!

  • @jasondoe2596
    @jasondoe2596 9 лет назад

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

    • @ParishaUllah
      @ParishaUllah 9 лет назад +1

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

  • @Ordoct
    @Ordoct 9 лет назад +2

    This is really cool. I'll have to try doing matching chirality myself to see what happens.

    • @numberphile
      @numberphile  9 лет назад +4

      +Ordoct we did that too (see links under video) but it is better to do it yourself and see!

  • @Faxter313
    @Faxter313 9 лет назад

    I am starting to believe that all mathmaticians must be amazing people.
    More of Tadashi!
    Also more of all the other cool people!
    Please.

  • @shugaroony
    @shugaroony 5 лет назад

    That is lovely and since I don't know much about this field, unexpected.

  • @CurtisUaU
    @CurtisUaU 6 лет назад

    This is the best video on youtube.

  • @Kyleschannelz
    @Kyleschannelz 9 лет назад

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

  • @ACherimoya
    @ACherimoya 9 лет назад

    Oh man.
    I knew this video was going to be awesome when I saw the thumbnail, but it exceeded all expectations.

  • @Gredunza
    @Gredunza 9 лет назад

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

  • @Cyberspine
    @Cyberspine 9 лет назад

    He's really good at making clean, direct center cuts.