The Infinite Pattern That Never Repeats

30 sep 2020
8 100 604 Áhorf

Simples rules of geometry meant that 5-fold symmetry was impossible as were crystals without a periodic structure. This turns out to be wrong. Thanks to LastPass for sponsoring a portion of this video. Click here to start using LastPass:
Huge thanks to Prof. Paul Steinhardt for the interview on this topic. Check out his book ‘The Second Kind of Impossible’
If you'd like to learn more about Penrose tilings, go check out "Penrose Tiles to Trapdoor Ciphers" by Martin Gardener, which helped my research for this video.
Filmed by Gene Nagata (Potato Jet on ISpast)
Animations by Iván Tello and Jonny Hyman
Editing, Coloring, Music & Audio mastering by Jonny Hyman
Prague scenes filmed in 2012.
Special thanks to Raquel Nuno for helping with the tilings!
Additional Music from Epidemic Sound

  • Roger Penrose was just awarded the Nobel Prize for Physics! Not for this pattern but “for the discovery that black hole formation is a robust prediction of the general theory of relativity”

    VeritasiumVeritasiumMánuði síðan
    • Who else did stuff like this in 3rd grade with triangle tiles xD

      Hamilton ArraouHamilton Arraou2 dögum síðan
    • huh?

      GGhireal#1GGhireal#14 dögum síðan
    • if it never repeats, by definition it isnt a pattern. misusing a word, and then saying wow, this thing amazingly fits my incorrect definition is essentially just click baiting

      Captain RedbeardCaptain Redbeard5 dögum síðan
    • A nobel prize for pseudoscience.. 🥱

      jim westjim west6 dögum síðan
    • I have only a very basic and spotted understanding about general and special relativity, but it never stops astonishing me how Einstein was able to abstract its content theoretically, which over decades stepwise is confirmed.

      Rondo2oooRondo2ooo11 dögum síðan
  • Title: The Infinite Pattern that Never repeats My dumbass: Looking for the pattern

    KatelynKatelyn8 mínútum síðan
  • The Platonic Solids are the 5 so-called "perfect" geometrical constructs that have 360 degrees "Perfect"SYMMETRY, without any alteration of extrinsic appearance or intrinsic design of composte parts.

    Albert KundratAlbert Kundrat58 mínútum síðan
  • That was so fascinating!

    nitin mhapsekarnitin mhapsekar59 mínútum síðan
  • Great surname that bloke Penrose ;)

    Felix PenroseFelix Penrose2 klukkustundum síðan
  • "The most 'fiveish' constant of all" nice neologism.

    Marcus DanchisionMarcus Danchision2 klukkustundum síðan
  • Should i Post a new video today? 🤔🤷‍♂️ Is really satisfying ! 🔥🥰 Yes or No?

    Se EsSe Es3 klukkustundum síðan
  • Do one thing tell the person on Mars to send his time and blast Mars at the same time (Assuming it takes 20 mins for light to travel from earth to mars and instantaneous for light to travel from mars to earth ) Earth send message at 12 :10 Mars recieves at 12 :30 but the person thinks it is at 12 :20 and send a message that the time is 12:20 and instantaneously blast Mars Now if earth saw mars in real time earth will see Mars blast at 12 :30 and earth will also receive a message that it is 12: 20 and hence proved that the previous assumption was correct that it takes 20mins for the light to go to mars and instantaneously comes back to earth

    Adwaith ReddyAdwaith Reddy4 klukkustundum síðan
  • Veritasium Your Such A Vsauce Wannabe

    retv rvteteretv rvtete4 klukkustundum síðan
  • Poor dog I liked my own commet how sad.

    Dan HongDan Hong6 klukkustundum síðan
  • "The most 'fiveish' constant of all" nice neologism.

    Moyna WesterheideMoyna Westerheide8 klukkustundum síðan
  • @Veritasium, what program or code library did you use to produce those patterns in the video?

    Arman TorkzabanArman Torkzaban9 klukkustundum síðan
  • Are u guys lost yet?? 🤔😩🤨😭

    TheTwitchTrailblazerTheTwitchTrailblazer10 klukkustundum síðan
  • there are some people that are smarter than me and use bigger words... then there's this guy

    Mitchell TrentMitchell Trent11 klukkustundum síðan
  • my teacher played this in math class wtf

    InfectiveInfective11 klukkustundum síðan
  • We BACK! Hi. Just posted a new video a couple days ago. Check it out here if you haven't yet:

    Diane ParrDiane Parr11 klukkustundum síðan
  • I swear, patterns arent patterns if they dont repeat

    AydronotlDrawsAydronotlDraws14 klukkustundum síðan
  • Robert Burger

    Mnu CuelloMnu Cuello16 klukkustundum síðan
  • Keplerd invented dnd dice

    FlyingKoifishFlyingKoifish16 klukkustundum síðan
  • I think you mean aluminium :) Also, the word kilometre is pronounced with stress on the first syllable, like millimetre, not like thermometer (which is a device).

    tstcikhthyststcikhthys17 klukkustundum síðan
  • I’d like to point out this dude hated his professor so much, he looked at 20,000 squares just to prove him wrong

    Wendy VanWendy Van18 klukkustundum síðan
  • If it never repeats, it isn't really a pattern, is it?

    TrunkeradTrunkerad19 klukkustundum síðan
  • “Wang’s Conjecture was false.” Me, through a mouthful of chips, not understanding a word of this: “Haha, what a loser.”

    Xavier LombardiXavier Lombardi19 klukkustundum síðan
    • stolen comment

      Nadia McLeod-SandsNadia McLeod-Sands10 klukkustundum síðan
  • So you've got a really fancy way to fill a dumpster with plastic. Cool.

    MadScientist267MadScientist26720 klukkustundum síðan
  • Well dramatized and illuminated

    utbr01utbr0120 klukkustundum síðan
  • One of the most interesting classes I ever had

    Nathan FarrNathan Farr22 klukkustundum síðan
  • There are only kites and darts? Well there are kites of 5. That make a somewhat circle. There are multiple kites. With 2 blues and 2 red and 1 green. These several kites looking at the green has a red to it's right. And a blue to its left. All that seems to be happening is the kites are rotating around. But I do see 2 kites where all 5 are in the same placement.

    MarkusDarkessMarkusDarkess22 klukkustundum síðan
  • ok but why didnt they make cannoncubes instead of cannonballs

    fagifagi22 klukkustundum síðan
  • One of the most interesting classes I ever had

    yeezmanual bot timeyeezmanual bot time22 klukkustundum síðan
  • Message in a bottle: Hello! My name is Victoria. I am an energy healing, Reiki practitioner with attunement received in Thailand and now taking small steps into making the world a better place. I invite you to reach back if you (or someone you know) would like to externalize the best of who you are. If you're looking to heal, find that perfect life balance and harmony with the world. Animals are particularly responsive to healing energy, therefore, consider a treat for your furry friend. It will be a great honor and pure joy to be by your side on this magical, transformational journey. Thanks and looking forward to meeting you! 🌺 Love,V P.s. Energy session can be done in person or remotely.

    Victoria RaduVictoria Radu22 klukkustundum síðan
  • that was... AWSOME

    〈〈TOP TENS〉〉〈〈TOP TENS〉〉Degi Síðan síðan
  • My jaw dropped when I saw the similarity between penrose's tiles and kepler's tiles

    Pat KingPat KingDegi Síðan síðan
  • How to fk your eyes and brain at the same time

    Adolfin KitlerAdolfin KitlerDegi Síðan síðan
  • My brain... 😭

    Aditya Damar JatiAditya Damar JatiDegi Síðan síðan
  • When Fibonacci sequence came up my brain stopped working. Great story.

    CCDegi Síðan síðan
  • 12:20 “ just by looking at them you could never tell them apart” Maybe if you converted them into sound then you could hear the difference. It would sound like a noise with the different timbre, maybe.

    Alex NguyenAlex NguyenDegi Síðan síðan
  • Feels like 8 grade class, right after skipping 3 previous lessons.

    Manny KhosbinManny KhosbinDegi Síðan síðan
  • We have these tiles with angles derived from 72 degrees. I think it's possible to prove that a repeating pattern with parallelogram type translation cannot exist, when we only have tiles with 360/5 degree angles.

    AlexagrigorieffAlexagrigorieffDegi Síðan síðan
  • Builder: So what kind of tiles you want in your bathroom then? Veratasium: Well....

    Wallace RobertsWallace RobertsDegi Síðan síðan
  • 17:25 " mathematical jargon we say hexagons are the bestagons"

    Devon DurstDevon DurstDegi Síðan síðan
  • Thanks ! really nice Video!

    Mike TarifaMike TarifaDegi Síðan síðan
  • Hexagons are better

    Gustavo VieiraGustavo VieiraDegi Síðan síðan
  • I'm glad I already had solid-state physics lessons, wouldn't understand as much without this xD very interesting video!! The wonders scientists develop

    Scru DonkaScru DonkaDegi Síðan síðan
  • So, the isoscel triangle has three sides, isn't it?

    ivan tchakoffivan tchakoffDegi Síðan síðan
  • ok this is actually pretty fascinating, but what am i going to do with this info

    Vania DanilkinVania DanilkinDegi Síðan síðan
  • Mind Blown

    EdwardEdwardDegi Síðan síðan
  • “Wang’s Conjecture was false.” Me, through a mouthful of chips, not understanding a word of this: “Haha, what a loser.”

    Lisa DeRubyLisa DeRubyDegi Síðan síðan
    • kinda funny how theres ur comment with 22 and the exact same comment with 5800 right above

      LightAndDarkKlumpiLightAndDarkKlumpiKlukkustund síðan
    • 1:23 "These are the platonic solids" Me: "These are dice"

      Alex NguyenAlex NguyenDegi Síðan síðan
  • My jaw dropped when I saw the similarity between penrose's tiles and kepler's tiles

    Hamilton ArraouHamilton Arraou2 dögum síðan
  • “Wang’s Conjecture was false.” Me, through a mouthful of chips, not understanding a word of this: “Haha, what a loser.”

    Jame AndyJame Andy2 dögum síðan
    • What a og comment

      Đặng Minh NhậtĐặng Minh NhậtDegi Síðan síðan
  • My mind hurts.

    Joe DoughertyJoe Dougherty2 dögum síðan
  • Thanks for the insight.

    DyslexocortextDyslexocortext2 dögum síðan
  • why did the first bit remind me of the tesseract?

    Toby WilkesToby Wilkes2 dögum síðan
  • 2:13 With subtitles on, I read "Hexagonal Close-Fucked" My brain is broken...

    VoyvodeVoyvode2 dögum síðan
  • He seriously looks high at 15:45

    The Baking GamerThe Baking Gamer2 dögum síðan
  • I'd like to watch this again, but my (high) tolerance for adds got stretched so much, it tore.

    A. DUBITANTEA. DUBITANTE2 dögum síðan
  • SCP 4701 Metal Snow.

    B PB P2 dögum síðan
  • "The most 'fiveish' constant of all" nice neologism.

    Tiffany OliverTiffany Oliver2 dögum síðan
  • Actually if you look closely they are repeating.

    Mr.JMr.J2 dögum síðan
  • BTW why do extreme gamers get these kind of videos as a suggestion im not saying that this is bad thanks utube algorithm for this but it just does not Match up that i get these vids when i search for Ghostrunner speedrun

    WatermelonWatermelon2 dögum síðan
  • WoW what a great video

    David McbradyDavid Mcbrady2 dögum síðan
  • If you know how big infinity is, you might change your mind about using the word "never".

    vuaecovuaeco2 dögum síðan
  • Honeycomb cereal sales increase exponentially

    Yolanda ShikersYolanda Shikers2 dögum síðan
  • Me: Gives this pattern to the guy tiling my kitchen Tile guy: Sweats profusely

    Shota ToriumiShota Toriumi2 dögum síðan
    • Worst yet would hear him say: "Alright, I'm done" ...and he just created a singularity in you kitchen

      NemoNemo15 klukkustundum síðan
    • 👽👍

      UFOTV -VIRALUFOTV -VIRAL20 klukkustundum síðan
  • 17:25 " mathematical jargon we say hexagons are the bestagons"

    Shota ToriumiShota Toriumi2 dögum síðan
  • Where can I find or make those transparent papers at 9:00 They look so satisfying to play with and to show off to friends.

    Patrick RodriguezPatrick Rodriguez2 dögum síðan
  • 8 minutes in, I'm done trying to understand their obsession.

    Alexander WilisowAlexander Wilisow2 dögum síðan
  • I’m surprised with myself about how much I understood this even though it was barely anything

    Angel CastroAngel Castro2 dögum síðan
  • that's not a pattern

    KewbraminxKewbraminx2 dögum síðan
  • Anyone know where I can buy the printed penrose patterns at 8:59?

    Michael ChenMichael Chen2 dögum síðan
  • Me at 3am getting hypnotised: @_o_@

    OKJJOKJJ2 dögum síðan
  • 15:27 they look like cool explosions

    Kit CatKit Cat2 dögum síðan
  • The concept mentioned of there being an infinite number of Penrose tilings, and no way to tell which one "is on", and that each contains the others, reminded me of the same "lost" feeling one gets exploring Borges' Library of Babel (though the arrangement of rooms in that is decidedly regular):

    \o/\o/2 dögum síðan
  • Where did you get your penrose tiles laser cut?

    Paulo TrindadePaulo Trindade3 dögum síðan
  • Who else did stuff like this in 3rd grade with triangle tiles xD

    ThunderwoodJRThunderwoodJR3 dögum síðan
  • mindfuckingblown

    chun fai hungchun fai hung3 dögum síðan
  • Thank you! I am 7 and you made this easy to understand. Athena~

    robert webbrobert webb3 dögum síðan

    Dino's SanboxDino's Sanbox3 dögum síðan
  • Madison Beer was asked about being called a "Wannabe Ariana Grande" and she didn't hold back. "I think that it's a little sad and hurtful when I see so many people, like, really bullying and harassing me in a lot of ways and, like, taking away the legitness of anything I do." :

    Asad MarjiAsad Marji3 dögum síðan
  • ⚠️ Les recomiendo un vidio complemento, el mosaico fractuaureo, ver 👉

    JimmyJimmy3 dögum síðan
  • My eyes hurt. Worth it tho

    Ikhwan HaikalIkhwan Haikal3 dögum síðan
  • One of the most interesting classes I ever had

    Alexander WilisowAlexander Wilisow3 dögum síðan
    • Researchers at the University of Washington recently developed a way for 3D printed objects to connect to WiFi without electronics or batteries. Find out more on tomorrow's Elements.

      Alexander WilisowAlexander Wilisow2 dögum síðan
  • 8 minutes in, I'm done trying to understand their obsession.

    Raymond MyersRaymond Myers3 dögum síðan
  • Nice, love this pattern, made it in my garden!. There is a pair of weird facts more about them (at least, I read about them!); the four inks conjecture, it happens reduces to 3 in a Penrose pattern ( not easy, I tried, didn't make it). And drawing some lines,. You get "paths" that can be close or not, and repeat weirdly, showing a larger no periodically Patterns, with circles, stars but too something like "peanuts".

    Ignacio DIgnacio D3 dögum síðan
  • Watching this guy covertly break his upholstered chair was pure joy.

    Joseph KennedyJoseph Kennedy3 dögum síðan
  • 0:11 xx

    Uan GayUan Gay3 dögum síðan
  • Mora what'a?

    Alan attackAlan attack3 dögum síðan
  • Math makes my bones cold. :)

    Dominic TanDominic Tan3 dögum síðan
  • If it never repeats it's not a pattern...

    nikola playsnikola plays3 dögum síðan
  • *Robert Burger*

    dave the pigeondave the pigeon3 dögum síðan
  • One of the most interesting classes I ever had

    Dominic TanDominic Tan3 dögum síðan
  • My brother Bathaniel is selling Boulder Plushes! There's ONLY 250, so get one before they're gone for good! Storewide sale is going on until November 30th, they ship worldwide!

    Jayson BurkeJayson Burke3 dögum síðan
  • 21:11 are those DnD dices ?

    Octipus PlaysOctipus Plays3 dögum síðan
  • You have a gift of sharing the knowledge in the best way possible, not everyone puts the time or the effort to do so. There should be an award dedicated to people like you, and in my opinion, is as significant as the noble prize, if not more. I respect your work.

    ISHAN VYASISHAN VYAS4 dögum síðan
  • i watched this 3 times

    TRILLYTRILLY4 dögum síðan
  • You could talk about Benoit Mandelbrot's fractal theory, it looks a lot like this theory, Greetings from Paraguay

    Esteban GaleanoEsteban Galeano4 dögum síðan
  • xd

    Jestem Babą 3775Jestem Babą 37754 dögum síðan
  • Platonic solids? You mean my D&D dice?

    TheWaterboy818TheWaterboy8184 dögum síðan
  • 0:31 "ahhh did he, *looks at the door* he did! He just left the camera there" haha

    MONTYMONTY4 dögum síðan
  • “Wang’s Conjecture was false.” Me, through a mouthful of chips, not understanding a word of this: “Haha, what a loser.”

    Jack LymanJack Lyman4 dögum síðan
  • "Honey, I'll be ready for your sister's wedding when I finish this tiling."

    ahmad abedahmad abed4 dögum síðan
    • dude you copied this comment from @dav ep

      Darshi PatelDarshi Patel4 dögum síðan