The infinite life of pi - Reynaldo Lopes

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  • čas přidán 9. 07. 2013
  • View full lesson: ed.ted.com/lessons/the-infinit...
    The ratio of a circle's circumference to its diameter is always the same: 3.14159... and on and on (literally!) forever. This irrational number, pi, has an infinite number of digits, so we'll never figure out its exact value no matter how close we seem to get. Reynaldo Lopes explains pi's vast applications to the study of music, financial models, and even the density of the universe.
    Lesson by Reynaldo Lopes, animation by Igor Coric.

Komentáře • 1,3K

  • @sm64120sTaRs
    @sm64120sTaRs Před 4 lety +1300

    Doctor: On a scale of 1 to 10, how would you rate your pain?
    Patient: Pi.
    Doctor: Pi?
    Patient: Yes, low level, but never ending.

  • @steveng7497
    @steveng7497 Před 8 lety +1492

    Why didn't they just make the video 3:14 long

  • @andrewpereira888
    @andrewpereira888 Před 7 lety +993

    " My son is Pi years old!"
    "Wow! That can't be real! Pi is infinite
    "He's three..."

    • @thestovietunion790
      @thestovietunion790 Před 4 lety +113

      "Wow! That can't be real!" So he's i years old.

    • @joshuabradford8372
      @joshuabradford8372 Před 4 lety +9

      Nice

    • @joshuabradford8372
      @joshuabradford8372 Před 4 lety +6

      ohad the king and nevo123123 nice

    • @alexgarcia77
      @alexgarcia77 Před 4 lety +5

      It's a common mistake many people make.

    • @rayuthhing2182
      @rayuthhing2182 Před 4 lety +9

      it last for 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00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000068

  • @stilljust-me2795
    @stilljust-me2795 Před 8 lety +866

    If I wrote a random string of numbers, would it be some part of pi, somewhere? For example:
    675385898439108439

    • @hajirairfan6574
      @hajirairfan6574 Před 8 lety +127

      +Still Just-Me yes it would, theoretically

    • @brucinski94
      @brucinski94 Před 8 lety +263

      +Still Just-Me not theoretically. It definitely would happen eventually.

    • @Leksa135
      @Leksa135 Před 8 lety +35

      +Still Just-Me
      Nobody knows

    • @Leksa135
      @Leksa135 Před 8 lety +36

      *****
      Not necessarily.

    • @minecraftmobs9469
      @minecraftmobs9469 Před 8 lety +35

      +Still Just-Me yes, it would appear because of entropy

  • @dingle_nut8238
    @dingle_nut8238 Před 8 lety +798

    you're telling me I can eat an infinite amount of pie? what a world we live in

    • @theunknownblock5942
      @theunknownblock5942 Před 7 lety +23

      no... you can eat infinite pieces of pie! hooray! (flies away on golden skateboard)

    • @SuperNuclearBoss
      @SuperNuclearBoss Před 7 lety +5

      TheUnknownBlock I'll trade you pi number of dollars if you give me that skateboard

    • @SuperYtc1
      @SuperYtc1 Před 5 lety +4

      You can eat an infinite number of pieces but those pieces get smaller and smaller and smaller and smaller. So you'll never be able to eat more than 3.2 pies.

    • @oferzilberman5049
      @oferzilberman5049 Před 4 lety

      According to Vsauce's video called "Supertasks", You can cut and then stack a normal pie infinitly, But every piece will be half of the previous piece, So the pie itself isn't infinite.

    • @gabeheartz13saravia97
      @gabeheartz13saravia97 Před 3 lety

      Would it be crazy if someone tries to calculate π to the power of googolplex!!!!?

  • @Vouax
    @Vouax Před 7 lety +88

    I love how these videos are ad free

    • @timorlov3000
      @timorlov3000 Před 7 lety

      I'm guessing u aren't a great mathematician

    • @Vouax
      @Vouax Před 7 lety

      Define "Great" and no I'm not a Magician.

    • @timorlov3000
      @timorlov3000 Před 7 lety

      ummm

    • @timorlov3000
      @timorlov3000 Před 7 lety

      an important or distinguished person.

    • @Vouax
      @Vouax Před 7 lety

      I'm definitely important.

  • @_tizzy
    @_tizzy Před 5 lety +331

    Guy memorized 67,000 digits
    Then fines out he only needed to know 40 for his math test
    😶😶

  • @rogerbateria
    @rogerbateria Před 7 lety +58

    So, if you want to be romantic and authentic, you just need to say: "I love you till pi ends"

  • @donkilluminati9484
    @donkilluminati9484 Před 10 lety +67

    a ratio that leads to a number that can't be expressed as a ratio of 2 whole numbers. brilliant

    • @johandh2o
      @johandh2o Před 9 lety +2

      ***** That's not true. You cannot use percents like that, it's just for countable things.

    • @johandh2o
      @johandh2o Před 9 lety +1

      ***** Pal, I'm sorry but you're wrong. You cannot use percents in this case because you cannot talk about "random picking a rational number in the real number pool". That does not make sense because you're talking about a continuous random variable, not a discrete one. You should know that a continuous random variable has a probability density function, not a probability mass function, and the probability for picking one specific value of a continuous random variable is always zero, no matter the cardinality of the infinite. So, random picking a rational number x in the real pool is zero, the same as random picking a irrational number y. You cannot say that y/x=1, that does not make sence because they're both zero. That's to say, you cannot talk about percents or probability here, but you can talk about the cardinality of the irrationals being greater that the cardinality of the rational. That's it.

    • @nugget814
      @nugget814 Před 2 lety +1

      Ratio then

  • @isaacbailey3681
    @isaacbailey3681 Před 6 lety +17

    The real reason why "only the first forty or so" digits of pi are used is because, while a _perfect_ circle has an irrational circumference length, most actual circular shapes are made of ordinary matter, which is, in turn made of a _finite and rational_ amount of _atoms._ This means that, no matter how long the actual number of the circumference is, it _has_ to be rational because the circle can't get smooth enough to become irrational.

  • @kwertiop1527
    @kwertiop1527 Před 8 lety +536

    If Pi is infinite, then somewhere in it there is a 100% chance that there is a long line of 1s and 0s the when put into a computer will show this video.

    • @grantmacdonald3904
      @grantmacdonald3904 Před 8 lety +16

      True

    • @giancarlodagostino1269
      @giancarlodagostino1269 Před 8 lety +58

      No, pi isn't infinite, it's decimal digits are infinite

    • @kwertiop1527
      @kwertiop1527 Před 8 lety +91

      Giancarlo D'Agostino Ya, ok. Maybe I should said infinite digits long. However, you are not helping at all.

    • @giancarlodagostino1269
      @giancarlodagostino1269 Před 8 lety +34

      +Kwertiop Sorry, I compulsively correct people even if it's the slightest detail.

    • @juanjpnv
      @juanjpnv Před 8 lety +6

      +Kwertiop A long line of 1´s and 0´s remember me of the book "Contact" from Carls Sagan

  • @weed9389
    @weed9389 Před 7 lety +1104

    so, technically 3.2 is greater than pi

    • @sagniksaha7359
      @sagniksaha7359 Před 5 lety +41

      Yes.

    • @use2l
      @use2l Před 5 lety +5

      XD

    • @mr_6422
      @mr_6422 Před 5 lety +105

      3.142 is greater than phi

    • @flamingpi2245
      @flamingpi2245 Před 4 lety +6

      Jaeden Vaithianathan
      Yeah I heard about that, and the guy wanted to patent it but would’ve let Indiana have the right to use it for free, real nutcase

    • @widciyamck8677
      @widciyamck8677 Před 4 lety +8

      Or 3.1415926535897932384626433832795028841972 is great than pi

  • @eldermillennial8330
    @eldermillennial8330 Před 8 lety +306

    The really irrational thing about Pi is that the notion is predicted on their existing somewhere a perfect circle. Most circles themselves do not actually represent Pi, as they are not a seamless line down to an infinitely infinitesimal sub subatomic scale. The closest any circumference anywhere in the universe comes to this is the event horizon of a super massive black hole, and only when it's surface is not disturbed by feeding. So do true circles really exist?

    • @georgejohnson1124
      @georgejohnson1124 Před 8 lety +17

      +Ryan Schneider I'm betting you don't have a girlfriend.....................

    • @ducc5198
      @ducc5198 Před 8 lety +4

      a cross section of the brane of the theoretical strings in string theory

    • @personalemail1632
      @personalemail1632 Před 8 lety +6

      all Geography would be relative by that logic,which it might be but it still has practical uses

    • @zythedreamer7075
      @zythedreamer7075 Před 8 lety +2

      +Snaiper Suji Mayne i love how you're talking about a circle and have a triangle over your head lol

    • @galaxiaknight
      @galaxiaknight Před 8 lety +29

      Perfect circles can't exist in our three dimensional world. An untouched supermassive black hole would be a perfect sphere. If we took a picture of it, would it be a perfect circle? Remember that pixels in the photo are squares, so maybe circles don't even exist here.

  • @joseph-kim
    @joseph-kim Před 8 lety +35

    1:24 R.I.P. Green guy
    1:38 R.I.P. Scooter

  • @KatkaCvachova
    @KatkaCvachova Před 8 lety +135

    i love TED its better then School ...iam not saying i understand everything but well i can always play the video more than once and it makes me think and question more than School...and for me someone with visual memory and imagination these videos are amazing :) sometimes help !e to understand better because i can see it actually :)

    • @shivangi3664
      @shivangi3664 Před 8 lety

      Ya ! exactly.

    • @imnotanatheist8225
      @imnotanatheist8225 Před 6 lety

      Yes,me too

    • @ejbourable
      @ejbourable Před 6 lety

      "It's better THAN school." I respectfully disagree. Signed, A Teacher.

    • @andyfung7878
      @andyfung7878 Před 5 lety

      yses

    • @N0URii
      @N0URii Před 4 lety +3

      when i was kid in school my teacher didnt explain what Pi is, they just tell us" its a formula for a circle", and when i ask "why 3,14?" they said "Pi is just how it be, just remember it"

  • @nagu2480
    @nagu2480 Před 7 lety +365

    The last one really f*cked my mind good.

  • @kevin-8998
    @kevin-8998 Před rokem +9

    They couldn’t make this video 3 minutes and 14 seconds??

  • @gedstrom
    @gedstrom Před 8 lety +16

    Considering the amount of work that went into computing pi in the pre-computer days, it is amazing how fast even low-end computers can compute it. My iPad Air 2 has an app that can compute 25,000 digits of pi in less than 1.5 seconds. The app can compute more, up to 500,000 digits, but the length of time required goes up roughly as the square of the number of digits requested.

  • @Karmiangod
    @Karmiangod Před 7 lety +117

    That is pretty intense that Pi is bigger than the universe.

    • @fgvcosmic6752
      @fgvcosmic6752 Před 7 lety +5

      It's longer, but bigger, since pi is only 3.1415926536...

    • @vomou2951
      @vomou2951 Před 7 lety +9

      Karmiangod no its not even 4 is bigger than pi ._.

    • @99bits46
      @99bits46 Před 7 lety +1

      it's false

    • @ExpensiveZap
      @ExpensiveZap Před 6 lety +8

      3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682065310989652691862056476931257058635662018558100729360659876486117910453348850346113657686753249441668039626579787718556084552965412665408530614344431858676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797270826683063432858785698305235808933065757406795457163775254202114955761581400250126228594130216471550979259230990796547376125517656751357517829666454779174501129961489030463994713296210734043751895735961458901938971311179042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043063321751829798662237172159160771669254748738986654949450114654062843366393790039769265672146385306736096571209180763832716641627488880078692560290228472104031721186082041900042296617119637792133757511495950156604963186294726547364252308177036751590673502350728354056704038674351362222477158915049530984448933309634087807693259939780541934144737744184263129860809988868741326047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is all I remember (I'm *NOT* a robot)

    • @sultanelshirazy8184
      @sultanelshirazy8184 Před 6 lety +1

      Karmiangod the numbers of pi is infinite

  • @thealchemist3583
    @thealchemist3583 Před 8 lety +243

    2:31 i came in like a wrecking ballllll

  • @oscarjiro
    @oscarjiro Před 7 lety +64

    I guess you could call this one, "Life of Pi"

    • @paradoxine6287
      @paradoxine6287 Před 6 lety +5

      Oscar Jiro, Nope it's Life of Pi Chapter 3.14

  • @blightchip4236
    @blightchip4236 Před 3 lety +4

    The evolution of this mans narration is awesome

  • @r41d3n1000
    @r41d3n1000 Před 9 lety +18

    I've learned a lot,Thank TED-Ed ! Great teaching methods !

  • @vilatius1658
    @vilatius1658 Před 5 lety +21

    3:02 gotemmmmmmm

  • @prgalois
    @prgalois Před 11 lety +7

    Awesome content, TEDEducation don't ever go away!

  • @shivammishra310
    @shivammishra310 Před 3 lety +17

    i was literally pie years old for a infinitesmaly short time when i was 3.1415... years old.

  • @CristiNeagu
    @CristiNeagu Před 9 lety +25

    Even though it says in the video that for scientific purposes you only need the first 40 digits or so, i highly doubt anyone has use for more than the first 5. When you calculate something using pi with a computer, it will use 10 or so digits, but you will probably throw away all but the first 4-5 digits from your result anyways.

    • @el.psy.congroo.7798
      @el.psy.congroo.7798 Před 9 lety +8

      He means to say that when you need extreme accuracy, you can take the value of pi till 40 decimal place which almost give close practical purpose results in calculations.I know that in high school or even in graduate level courses you don't need that much accuracy in results so you use pi value till 4-5 digits after the decimal .you can compare it with the numericals in high school physics for calculating the mass of proton and neutron in which we take the values like 0.000000000000000000000000000000091 kg in approx while in usual calculation we take such numbers as 0 or 1.or even the planks value is so small but we take it in calculations ,don't we.

    • @CristiNeagu
      @CristiNeagu Před 9 lety +1

      ***** it's not really the same thing. There a difference between taking into account a number like 5*10^(-20) and a number like 5.0000001*10^(-20). Take a radius of your choice and calculate the circumference using pi to the 5th digit, then using pi to the 20th digit, and see the % error. I am fairly confident it's below 1%.

    • @CristiNeagu
      @CristiNeagu Před 9 lety +1

      ***** I just tried it with using pi as 3.14 and pi as 3.141592654. The difference was of 0.051%.

    • @el.psy.congroo.7798
      @el.psy.congroo.7798 Před 9 lety +1

      yes you are correct but now think if I was calculating something several light years away that percentage error will offset me by several kilometres.Also at smaller subatomic particle level you may know that even a slightest error results in very big at macroscopic level.so while calculating the values containing pi you take long more accurate values.

    • @CristiNeagu
      @CristiNeagu Před 9 lety +1

      ***** I was using just 2 fractional digits. In reality, you would probably use 10-12 digits. Any decent calculator can use that. You can calculate the error you would get by using 10 digits as opposed to 20 digits.
      And the error is usually calculated in percents. For rough calculations (back of the napkin), 5-10% is acceptable. And for precise calculations, 0.0001% or less is more than acceptable, no matter the scale.

  • @udaytodi5422
    @udaytodi5422 Před 5 lety +3

    Your videos are so interesting that I didn't realized when did it finished!

  • @vatsalpandey9506
    @vatsalpandey9506 Před rokem +28

    I like how simple and creative these animations are. Really helps one understand the idea and concepts of the video. Great work!🖤

  • @yingo4098
    @yingo4098 Před 3 lety +6

    That sounds very tasty.
    My teacher: how much is pi?
    Me: £1.99 buy two get one half price

  • @thebanish3r355
    @thebanish3r355 Před 4 lety +1

    The music at the end gives me goosebumps and makes me feel enlightened.

  • @ninja250r2008
    @ninja250r2008 Před 5 lety +6

    *Finally! Always wondered what this narrator looked like.*

  • @user-ci2lg1lw5b
    @user-ci2lg1lw5b Před 3 lety +9

    원둘레와 지름의 비율이 같다는것을 바탕으로 만든 원주율에 대하여 알아보는 시간이 되었습니다. 원주율의 쓰임이 생각보다 많다는것을 배웠습니다. 수학이나 다른 학문들은 더 배울수록 더 배울것이 많아지는것 같습니다. 수학은 참으로 아름다운것 같습니다. 좋은 시간이 되었습니다. 감사합니다. 응원합니다.

  • @ZantierTasa
    @ZantierTasa Před 9 lety +14

    1:13 "So, when did they finally figure out the exact value instead of just estimating? Actually, never."
    It's clear from the rest of the video that you meant no exact fraction or finite decimal representation, but finding a formula for pi is really finding an exact value, and this was also done in the 14th century.

  • @darpanvyas5160
    @darpanvyas5160 Před 3 lety +2

    Your endings, I love. So fitting everytime.

  • @Gareth1892000
    @Gareth1892000 Před 4 lety +4

    I read the title as "The infinite ... - Reynaldo Loop" btw, Good video

  • @MsSBVideos
    @MsSBVideos Před 8 lety +2

    1:57 Actually, I saw someone on Scratch (a programming website) make a program to test the speed of your computer by timing how long it takes for it to calculate 1,000 9-digit numbers. I tried it out, it's cool.

  • @KabirPankaj
    @KabirPankaj Před 8 lety +23

    how can we say that one infinity is greater than another ?

    • @DreadKyller
      @DreadKyller Před 8 lety +12

      +Kabir Pankaj because the universe isn't actually infinite. It has a finite amount of mass, although so stupidly large it's pretty much infinite for all needs. Laws such as the conservation of energy simply wouldn't work if there was infinite mass, because that would imply infinite energy. Now we never know, but someone could theoretically find the next number of pi and find out it ends, irrational numbers can only be proven if it can't be disproved after infinite repetition. No one has found the exact value of pi, however it doesn't necessarily mean that it doesn't end somewhere, because theoretically it could all of a sudden just stop having more digits, we're just not there yet.

    • @KabirPankaj
      @KabirPankaj Před 8 lety

      Are u a studying physics ?

    • @TheAvgCommentator
      @TheAvgCommentator Před 8 lety

      +DreadKyller The law of conservation of mass doesn't break down, there is a finite amount of mass and an infinite amount of volume to put it in.

    • @DreadKyller
      @DreadKyller Před 8 lety +1

      Dominus Felis your statement makes no sense. There may be infinite volume to put the mass of the universe in, that doesn't affect the law of conservation of mass, no matter where that mass is in the universe it's still that amount of mass, in absolutely no way does the amount of empty space affect the law of conservation of mass.
      Either way this doesn't matter, the video compared the amount of digits in pi to the amount of mass in the universe, not the size of the space to put it in, so I don't get what your comment is trying to do.

    • @azureorbit
      @azureorbit Před 8 lety

      +DreadKyller whoa there hold on pi has infinite digits. It won't stop, it's transcendental. There's a drip method for any nth digit.

  • @marsdenbalaska3
    @marsdenbalaska3 Před 2 lety +1

    Commonly seen in Crop Circles is what's known as "Squaring The Circle" but it can tell us much much more than we ever believed possible

  • @dig_deep_
    @dig_deep_ Před 11 lety +1

    Thanks for answering my question and recommending that video; it was both interesting and informative. Your english is fine.

  • @joseph-kim
    @joseph-kim Před 8 lety +10

    2:52 Bad bank.

  • @rohansaji1082
    @rohansaji1082 Před 8 lety +3

    May I ask, if someone ever finds the true value for pi, right down to the last decimal point, what will be the consequence of it?(will there be any improvement in technology, space research and such)

    • @rohansaji1082
      @rohansaji1082 Před 8 lety +2

      I know... I am simply asking a what if statement. What if, we suddenly found out that we can express √2 as a rational number? Will there be any real life consequences?

  • @ash_k0
    @ash_k0 Před 11 lety +1

    The last line just blew my mind !!

  • @mahiransworld_2011
    @mahiransworld_2011 Před rokem

    I've heard this narrator lots of times in many of these TED-ED videos. Finally I found a character that matches his voice.

  • @ShubhamThakkarShubhavatar
    @ShubhamThakkarShubhavatar Před 10 lety +26

    Actually, at the end it should be entire OBSERVABLE Universe!!

    • @sunshin3man
      @sunshin3man Před 10 lety +2

      Mathias, how do you know its finite, have you been on the edge? )

    • @x_x_x_an_intersting_name_x_x_x
      @x_x_x_an_intersting_name_x_x_x Před 10 lety +1

      ***** ummmmm not sure if your right on that, I think I read something some where that the big bang is still outputting energy and matter or something

    • @GamingDocumentor
      @GamingDocumentor Před 10 lety

      ***** I'm a bit foggy on the subject, but "more stuff doesn't get added just because it expands." is (if my memory serves and humanity's current understanding of the universe is correct. By the way, both are a tad rare!) false. Dark energy allegedly stays at a constant ratio to the size of the universe. Which is expanding. Thus, dark engergy "stuff" is being added just because it is expanding. If my memory continues to serve (if it ever even did) then dark energy also causes the universe to expand faster, so more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more is always being added!

    • @ShubhamThakkarShubhavatar
      @ShubhamThakkarShubhavatar Před 10 lety

      Game Documentor I'd be happy of you had literally typed that all

    • @Cliff86
      @Cliff86 Před 9 lety

      Tethloach Bol Since when is dark energy actually stuff?
      It's just an intrinsic property of empty space that causes itself to expand.
      ***** There is no evidence that there is a finite quantity of matter and energy in the universe. It's still a topic of debate among scientist whether or not the Universe stretches infinitely throughout the spatial dimensions.

  • @scoots_poots6842
    @scoots_poots6842 Před 8 lety +79

    PI is not infinite, It is in between 3 and 4, just irrational, like me

  • @LemonJuice1987
    @LemonJuice1987 Před 7 lety +1

    Wow now every time on thanksgiving when I look at the pie I say "it's bigger than our universe!"

  • @arundhatisharma5743
    @arundhatisharma5743 Před 7 lety +2

    I love the animation in this video.

  • @koubrrr
    @koubrrr Před 7 lety +8

    how to blow your mind
    step 1: watch this video

  • @EvilEddtheRed
    @EvilEddtheRed Před 9 lety +3

    What does pi look like written in systems other than base 10?

  • @yassinsaad82
    @yassinsaad82 Před 8 lety +2

    why is this channel more educational than any school ?

  • @vatnidd
    @vatnidd Před 11 lety +2

    I really learnt something new! Thanks.

  • @veechat
    @veechat Před 9 lety +12

    Today is Pi day
    3.14.15 9:26'53"

  • @abhinav5077
    @abhinav5077 Před 8 lety +6

    Does it mean pi has every possible number combination in it?

    • @olivertremblay4853
      @olivertremblay4853 Před 8 lety

      Yes it does

    • @Cloiss_
      @Cloiss_ Před 8 lety

      +Oliver Tremblay But Pi has a countable infinity of numbers in it, so it only has one combiation of countable infinity numbers. It has every possible FINITE number combination, unless I completely misunderstood that hotel video.

    • @olivertremblay4853
      @olivertremblay4853 Před 8 lety

      well it seems your right

    • @Leksa135
      @Leksa135 Před 8 lety

      +Abhinav B
      No.

    • @Cloiss_
      @Cloiss_ Před 8 lety

      Leksius Yeah, if if goes on infinitely with no repeats then it theoretically should. Idk though it is quite confusing.

  • @estebansaona6188
    @estebansaona6188 Před 3 lety

    ted cartoons are just pure expression of art

  • @srijal
    @srijal Před 11 lety +1

    Also, When the ratio of lengths of two line segments is irrational, the line segments are also described as being incommensurable, meaning they share no measure in common. Source:
    wikipedia/wiki/Irrational_number

  • @otherperson1275
    @otherperson1275 Před 11 lety +5

    Thank you. I always thought the Pi memorization contests were exercises in lack of intelligence rather than a sign of intelligence. There must be a better way for one to spend their time than to do something that a computer will always be able to do infinitely better and by the way, it is practically useless.

  • @jibreelahmed6833
    @jibreelahmed6833 Před 5 lety +3

    1:38
    He fell so hard ...

  • @Animalcrossing35
    @Animalcrossing35 Před 11 lety +1

    Yes the smallest measurable unit is the planck length, but u can still slice a planck in half. Yes it is true that the dimensions are curled up at this length but u can still go smaller. As u said it is the smallest measurable length.

  • @tingyiksaw
    @tingyiksaw Před 11 lety

    Because we cannot know for certain the perimeter of a circle, we can only approximate it by drawing short segment of lines along the circle. Our definition of length is the straight distance between point A and B. A curved line can thus be represented by infinitesimal short lines, which if you make the line shorter and shorter, will be more accurate, but you can never pinpoint that actual distance.

  • @staraptorop6386
    @staraptorop6386 Před 8 lety +9

    DOWN WITH THE TYRANNY OF PI! LONG LIVE TAU

    • @novvain495
      @novvain495 Před 6 lety +1

      Sigma:I'm better than Pi!
      Tau: No, I am!
      Rho:Long live Rho!
      Ípsilon: C'mon, everybody knows Im the best
      Omega:No, you are not
      Omicron:Exactly, im tha best
      Epsilon:What's happening here!
      Tau:Nothing!
      Epsilon: Whatever, I'm telling Alfa!
      Alfa,Beta,Gamma and Delta:Stop fighting
      Rho:No!
      Some time later...
      π:What did I miss?
      Digamma: junt every letter dying. Now we, the obsoletes, remain
      Stigma:Yep
      SamPI:Hello pi, my brother!
      Pi:Hello, I missed you!

    • @theyoutubewizard1126
      @theyoutubewizard1126 Před 6 lety

      No dude, pi shall live on forever.

    • @imdumbbut8915
      @imdumbbut8915 Před 3 lety

      @@theyoutubewizard1126 nah Phi is better

  • @cas7152
    @cas7152 Před 8 lety +4

    There are no quantum computers yet. I'm starting to doubt the credibility of this channel. Anyone found some other examples? I want to learn, but not learn things that aren't true

    • @snuffles1101
      @snuffles1101 Před 8 lety

      +Cas Van Veen There are quite a few quantum computers around nowadays. I couldn't find anything wrong with this video. Quantum computers are not readily available to the general public because of programs we are using are decoded in 2 bit information, using a quantum computer would not be any faster (even slower in some cases). The key to using a quantum computer is, they use 2^n (exponential) comparisons instead, which makes them able to carry out many more comparisons quicker with the number of items increasing(increase n, the number gets increasingly larger).

    • @cas7152
      @cas7152 Před 8 lety

      +snuffles1101 Okay, let me formulate it differently. There are no Quantum Computers as he speaks of. The biggest calculation ever done on a quantum computer is 5 times 3 equals 15 using 5 atoms.

    • @snuffles1101
      @snuffles1101 Před 8 lety

      *cough* erm, i don't know how else to say it, so, your just plain wrong. I am a student studying computer engineering at the moment, i don't claim to know everything but.... I recommend you look up on wikipedia, quantum algorithms. You've got Shor's algorithm to start with, which is basically integer factorization, yes it might seem like just numbers, but, it lies at the bedrock of programming and the RSA cryptosystem. RSA cyptosystem is a security method using prime numbers to send secure information around to world. Quantum computers offer code cracking, that of which a classical computer cannot due to the sheer size of the prime numbers used for keys to decode the information.
      Research has come a long way in quantum computing.

    • @cas7152
      @cas7152 Před 8 lety +1

      +snuffles1101 Hey, I do appreciate that you want to start this discussion with me. But a true Quantum computer is far from being developed. A normal computer uses transistors which may be around 15 atoms wide now a days. Anything smaller than that and the Heisenbergs uncertainty principle takes into effect which causes atoms to leak away due to the heat producer by such a system like a quantum computer that uses single atoms as transistors. Atoms or rather particles, due to the the laws of quantum mechanics, can be in two states at once and they'll behave like that. Up until now, there has been no way known to man how to trap multiple of these atoms and do complex calculations with them. I've been to Utrecht University in The Netherlands and they are researching this fenomenon at the very moment. They are trying to make a piece of Bose-Einstein matter by supercooling it so all the Natrium ions become alligned and are "facing" the same way.
      Even look at Moores law, which tells the amount of transistors doubles each decade or so, it is slowing down and it has not yet reached the level of what a quantum computer needs.
      In conclusion, there is no such thing as a quantum computer yet, although I do believe that they could calculate at a much faster rate than silicon computers can.
      I look forward to your answer, because this has become a very interesting discussion

    • @tomm7273
      @tomm7273 Před 8 lety +2

      +Cas Van Veen You are correct about there not being quantum computers able to calculate pi yet. The formula you would need for this was actually just discovered this year (2015) and has not been implemented to any extent. The feat of calculating 2 quadrillion digits actually belongs to a cluster of 1000 classical computers, courtesy of Yahoo's Hadoop cloud.
      arxiv.org/pdf/1510.07813.pdf
      www.bbc.com/news/technology-11313194

  • @neutronstarmerger
    @neutronstarmerger Před 11 lety +1

    You're totally right. Thanks for the reminder.

  • @SpencEpix
    @SpencEpix Před 6 lety +1

    My friend did 100 dodgers of pi for a 5th grade talent show and after that long time he still remembers it

  • @thebiggestcauldron
    @thebiggestcauldron Před 8 lety +13

    Tau is better!

    • @UMosNyu
      @UMosNyu Před 8 lety +4

      +Tomasz Rajek I came to the comments just to see tau being mentioned. :)

    • @Epic_TanuKitty
      @Epic_TanuKitty Před 8 lety +1

      Just to be funny; -->TauPi

    • @Epic_TanuKitty
      @Epic_TanuKitty Před 8 lety

      I was trying to put it in base 2, buuuuuut... effort

    • @lightmargin
      @lightmargin Před 6 lety

      smh guys it's all about pau. pau = 1.5pi = 0.75tau

  • @icabathecarrotsmile8439
    @icabathecarrotsmile8439 Před 8 lety +1

    Is it possible to even find the first digit of tau because you would have to infinitely regroup because pi is irrational and 2pi=tau so therefore pi+pi=tau so does that mean that tau does not have a first digit or any for that matter?

  • @rovera91
    @rovera91 Před 11 lety

    The equation of a circle is x^2+y^2=r^2 it is defined by the radius, ploar, cylindrical and spherical coordinates also use the radius as a way to define the circle, we never really use the diameter to work with circles.
    Additionaly may physical properties depend on the radius, like gravity it depends on the planet's radius not the diameter.

  • @aayushdhungana360
    @aayushdhungana360 Před 4 lety +1

    i have always loved the irony that pi is a ratio and yet an irrational number...

  • @mrmojorisin7892
    @mrmojorisin7892 Před rokem +1

    Serious question to the one who studies π. Is it at all possible for the two points to overlap at some point in what is referred to, as time and space? A possibility that we just haven't been aware of the algorithm long enough for it to come back together... Like a timer to an event that I sense is about to go off !!!

  • @yohansaldana8218
    @yohansaldana8218 Před 5 lety +1

    John:Could you give me pie?
    Mathematician:Okay,3.1415926535897932384626433837950288419716939937510582097494459230781640628620899...
    John:*shocked Pikachu face
    John:Eeeh.
    Mathematician:Ah,okay,2.7182818284...
    John:No!! I was a asking for pie!! P-I-E!!
    Mathematician:No,π is spelled as P-I!
    John:I meant food!
    Mathematician: You can't eat math.
    John:I want apple pie!
    Mathematician: You didn't tell me!
    John:I told you P-I-E!

  • @merren2306
    @merren2306 Před 3 lety +1

    we also use the letter tau for the circle constant ^^

  • @MLH780
    @MLH780 Před 11 lety

    That last comment you made Lopes, mind=blown

  • @aviralomar3760
    @aviralomar3760 Před 4 lety +1

    Please make a video on calculus!

  • @mraaronhd
    @mraaronhd Před 2 lety +2

    Essentially, Pi is the ultimate way of ‘chasing the dragon’ for mathematicians.

  • @Galloh
    @Galloh Před 11 lety

    Nice video!
    It's just that they should've added "observable" at the end. The observable universe if finite. The entire universe we don't know.

  • @Kreacher3
    @Kreacher3 Před 7 lety +1

    0:50 - That should be a comma, not a decimal point
    1:11 - That should be a decimal point, not a comma

  • @comicluigi7
    @comicluigi7 Před 4 lety

    Now the Voice is this Guy
    No matter what you do

  • @reilly9840
    @reilly9840 Před 6 lety +1

    i missed it, what flavor was the pie?

  • @guidc
    @guidc Před 8 lety

    Is it irrational in all base systems? Or just in base 10? For instance, would a base 12 system give a whole number for PI?

  • @BaxterDaTrashball
    @BaxterDaTrashball Před 6 lety

    This was released 3 days before my birthday!

  • @jonathanfargalla5427
    @jonathanfargalla5427 Před 6 lety +1

    I like this animation!

  • @user-mr3wf3xy4t
    @user-mr3wf3xy4t Před 4 lety +1

    I'm not a fan of Math but this video is soo relaxing

  • @nautilume7114
    @nautilume7114 Před 4 lety +1

    It kinda makes me wonder. Could there be another number system that could classify pi as a whole number? For example, instead of 0, 1, 2, 3, 4 all the way to 10, what if it was something like 0, a, b, c, 10?

    • @eolgrillo
      @eolgrillo Před 4 lety

      if 1 is a, then why is there a 10?

  • @ABitOfTheUniverse
    @ABitOfTheUniverse Před 11 lety

    The Pi Song, sung to 40 decimal places, by Hard N' Phirm (Chris Hardwick and Mike Phirman) or better yet the female who voiced the robot in their video.
    3.14159
    2653589
    7932384
    626433
    83279
    50288
    41971

  • @delb0y1967
    @delb0y1967 Před 11 lety

    Excellent video :)

  • @vutran4577
    @vutran4577 Před 4 lety

    3:20 as Lopes said, so the universe is limited?

  • @bryanbolanos8453
    @bryanbolanos8453 Před 5 lety

    Great animation

  • @SunilKumar-vy8gq
    @SunilKumar-vy8gq Před 3 lety

    People: remembering over 67000 digits of pi
    Me: struggling to remember my family's phone numbers

  • @Ragnarok93
    @Ragnarok93 Před 3 lety +1

    Jus hut my mind-
    If mass cant be created or destroyed how the universe is making new thing and always growning... I think it shud be finite at som pt?

  • @badrakram3422
    @badrakram3422 Před 4 lety +1

    me in 3:29 :
    * Illuminati song *

  • @TheMryi
    @TheMryi Před 11 lety

    Because of it being a transcendental number, which I won't explain the concept of, but I can redirect you to a video by numberphile called Transcendental numbers. All Transcendental numbers are irrational since all rational numbers are algrebraic.
    Sorry about my english, it is not my native language.

  • @marsdenbalaska3
    @marsdenbalaska3 Před 2 lety

    What about The Golden Mean? Do you have a video covering all of the many types of Crop Circles of Glyphs? Ya Should

  • @ramchandravarshney4149

    People: died calculating decimal places for *trillions of digits*
    Engineers: we'll take *π=3*

  • @waddles4560
    @waddles4560 Před 4 lety

    How did we find out Pi was infinite? And also I see program get Pi to X decimal points. How do we know this to be true? And if so, what numbers are these programs using?

  • @MichaelNgTzeWei
    @MichaelNgTzeWei Před 11 lety

    By the formula given, circumference over diameter would eventually give us 22/7 which is in decimal point form 3.142....

  • @gnation855
    @gnation855 Před rokem +2

    Thanks, really needed this, asked my teacher where π came from and he couldn't answer.

  • @user-dn4dh4dw7m
    @user-dn4dh4dw7m Před 6 lety +2

    My friends favorite quote :
    Circumference or a Cube 😂😂

  • @powahfulgameplayer
    @powahfulgameplayer Před 6 lety

    This green protaganist of the video must be a masochist.
    So many hits yet so many smiles.

  • @jimzamerski
    @jimzamerski Před 11 lety

    I discovered that Pi contains a perfect musical melody in BASE 12. I recognized it was there, timed the notes, and added a chord progression. Come to my channel and listen to the most beautiful song in the Universe.
    Be sure to read the whole description.

  • @Vision_Voyagers
    @Vision_Voyagers Před 6 lety +1

    1:11 you used comma instead of decimal point. 3.1415926535