The Infinite Pattern That Never Repeats

Pubblicato il 30 set 2020
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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: ve42.co/LPs
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 ITload)
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

Veritasium
Commenti  
  • Veritasium

    Veritasium

    3 mesi fa

    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”

    • Fudge A Tron Gaming

      Fudge A Tron Gaming

      10 giorni fa

      Wtf does that mean

    • Totally a Grumman F-14 Tomcat

      Totally a Grumman F-14 Tomcat

      13 giorni fa

      I hate to break it to you, but infinite doesn't mean all, so there's no guarantee that any section on "pattern a" would appear on "pattern b". The patterns never run out of space to display the section, but they also never run out of alternate section to display in it's place.

    • JanPBtest

      JanPBtest

      13 giorni fa

      @alnot01 Actually, Penrose was there first (meaning, he was the one who proved black holes must form under certain "benign" conditions that had been previously considered "unrealistic"). Hawking a bit later contributed to Penrose's singularity theorems.

    • Bazza The Great

      Bazza The Great

      13 giorni fa

      I feel like they picked one thing but gave him a lifetime achievement Nobel. It was black holes because he was tacked on with the other winners. Either way well deserved.

    • Daniel Komárek

      Daniel Komárek

      13 giorni fa

      I am from Czech republic 👌

  • K J

    K J

    Minuto fa

    "daddy, what do you do?"
    "I look at shapes"
    "That sounds easy"
    "Well I also look at colours!"

  • K J

    K J

    6 minuti fa

    This entire video is a mindfuck

  • Make Money Now

    Make Money Now

    18 minuti fa

    As always, quality videos right here!

  • LMAO

    LMAO

    2 ore fa

    "A material that wasnt supposed to exist."

    Material:exists
    Everyone: :0

  • Madd Max

    Madd Max

    3 ore fa

    9:35 was mind-blowing 🤯

  • zeroling ping

    zeroling ping

    10 ore fa

    The kindly iron lately excite because fall inversely label against a abhorrent cellar. smart, ludicrous basketball

  • Anaya Weick

    Anaya Weick

    12 ore fa

    So...The way I’ve always seen it is this: If you gave an immortal monkey a typewriter and it pressed keys at random, it would eventually type all of Shakespeare’s works in the order he wrote them. That is known as the Infinite Monkey theorem. However, if we assume it takes the monkey an infinite amount of time, then to do it twice it would take two infinite amounts of time. However, adding something to infinity will make it equal infinity because it *is* infinity. So that means the immortal monkey will type all of Shakespeare’s works in order an infinite amount of times. That’s like this and like pi: If given an infinite number like pi, the number 3 will repeat an infinite number of times. 314 will repeat an infinite number of times. 31415926535 will repeat an infinite number of times. Pi will repeat an infinite number of times inside the digits because it is an infinite number. That means that the infinite pattern will repeat an infinite number of times within itself just due to it being infinite.
    However, I’m sure I made a wrongful assumption somewhere and that’s why I’m commenting. Can someone please explain to me where I went wrong?

    • Anaya Weick

      Anaya Weick

      11 ore fa

      @fewwiggle Thanks so much!

    • fewwiggle

      fewwiggle

      11 ore fa

      I don't think you can "nest" the infinite number Pi within the infinite number Pi You'd be "stealing" digits from the root/prime Pi, so that the nested Pi is only a partial Pi -- IOW, every digit of your embedded Pi is part of the scaffolding of the root/prime Pi Your monkey analogy thing works, but that is because it is a finite work (not an infinite work) embedded within infinity.

  • Aiden Owensby

    Aiden Owensby

    12 ore fa

    The hexagon is the bestagon.

  • Hat Boi

    Hat Boi

    12 ore fa

    i don't understand what you mean when you say it doesn't repeat

  • Gus Nowrojee

    Gus Nowrojee

    14 ore fa

    You suck at clutching!

  • Bruno Afonso

    Bruno Afonso

    14 ore fa

    At 09:59 is it just me or does that look a lot like a Paris city map with the large avenues and even larger roundabouts?...

  • Gus Nowrojee

    Gus Nowrojee

    14 ore fa

    NO SKILL!

  • Dissociated Women Incorporated

    Dissociated Women Incorporated

    14 ore fa

    I'm not quite sure why, but the section between 11:19 and 12:27 made me extremely nauseous. I'm not normally prone to motion sickness but that's what it felt like, an excessive dizziness as if I were drunk. I'm not leaving this comment to complain, I think it's weirdly interesting that I've been fine for decades with 3D movies, FPS video games, actual car travel, VR, and yet these simple animations made me feel like I was spinning.

  • NASA Mars Mission

    NASA Mars Mission

    16 ore fa

    As a famous stick man once said: hexagons are bestagons

  • cyan /among us

    cyan /among us

    Giorno fa

    "Hexagons are the Bestagons"
    -CGP Grey

  • Alfredo 2

    Alfredo 2

    Giorno fa

    where did you get the tiles from?

  • Bill Huston Podcast

    Bill Huston Podcast

    Giorno fa

    Has anyone considered implementing Conway's Game of Life on a Penrose plane?

  • Snowball God

    Snowball God

    Giorno fa

    my man unlocked golden spin

  • Mo. T End

    Mo. T End

    Giorno fa

    When you come to the comment section looking for some sort of explanation and reinforcement on this mind f***ing subject but everyone is commenting meme worth of jokes. Done with the internet for today

  • Jean Strong

    Jean Strong

    Giorno fa

    I only have mild ocd. Had. Had. Now it's gone into full blown paranoid OCD LMAO

  • The Rock

    The Rock

    Giorno fa

    The grouchy single essentially stitch because hardhat joly describe plus a abortive door. noisy, same scanner

  • Cool videos and crap

    Cool videos and crap

    Giorno fa

    I’ll make it repeat

  • Gemfyre

    Gemfyre

    Giorno fa

    Maths man. I have two colouring books full of patterns like these and other mathy patterns. Some are fun to colour, some are just frustrating!

  • Matthew G

    Matthew G

    Giorno fa

    last pass? iphone has a feature for that already

  • Jack Skywalker

    Jack Skywalker

    Giorno fa

    Vsauce

  • xyz XYZ

    xyz XYZ

    Giorno fa

    I think, thes tow parts could be a Pyramide without the midle line. One is from front Perspektive and the other from the back. But the bottm is still missing

  • Someone

    Someone

    Giorno fa

    You can't use math to figure out exactly how many different patterns there are though??

    • fewwiggle

      fewwiggle

      11 ore fa

      I believe they did, and the answer was "exactly" infinite many

  • love anime

    love anime

    Giorno fa

    Eesh looks kinda like baby yoda

  • Dennis Newson-Craig

    Dennis Newson-Craig

    Giorno fa

    WOW.....

  • Today 11

    Today 11

    Giorno fa

    So the infinite pattern is perfectly imperfect

  • Priyanshu Baranwal

    Priyanshu Baranwal

    Giorno fa

    Who understood any of this

  • Soner Iftar

    Soner Iftar

    Giorno fa

    we can see real you untill this video. you the crazy quasi youtuber

  • GraveX

    GraveX

    Giorno fa

    But just how are the people of old so smart .. Their intelligence is not their own .. Someone or something told it to them .. The devil ~ 👿👿👿

  • gloria sanders

    gloria sanders

    2 giorni fa

    The imaginary fifth simultaneously punish because bread eventually snore between a superficial court. bouncy, spiffy body

  • Boban Chacko

    Boban Chacko

    2 giorni fa

    Imagine a mansion tiled with pieces like that


    The tilers would be crippled at the end

  • N I

    N I

    2 giorni fa

    This seems like universe.....too weird.

  • Surfer Frankrin

    Surfer Frankrin

    2 giorni fa

    Platonic solids, just DND dice

  • Savaville

    Savaville

    2 giorni fa

    I zoned out lol.

  • Chris Roberts

    Chris Roberts

    2 giorni fa

    My architect thought it was odd when I asked him to include certain geometries in our new house and he wouldn't go through with the whole plan. I still managed to slip the selenium cores into the steelwork though.
    The above is what watching this video made my brain come up with. I think it was to try and distract me from looking for somewhere to buy Penrose tiles.

  • gloria sanders

    gloria sanders

    2 giorni fa

    The broken millimeter internationally appear because celsius adversely prefer without a questionable vest. political, wiggly act

  • Zaku

    Zaku

    2 giorni fa

    15:00 I've read through Steinhardt's "The Second Kind of Impossible" prior to this, so I cracked a huge smile when I heard this section. Quasicrystals are so fascinating to me, and while I knew this video would cover Penrose tilings, I definitely wasn't expecting for this to go the extra mile. Very enjoyable watch, I can tell you did research on these beautiful results from symmetry.

  • Tanya Samanta

    Tanya Samanta

    2 giorni fa

    I love your videos! Such interesting content

  • Oztekin219

    Oztekin219

    2 giorni fa

    Well this is the first video from you I can't understand no matter how much I think about it 🤪

  • Cataria Kitten YT

    Cataria Kitten YT

    2 giorni fa

    This is so interesting, but so confusing at the same time. I have never been so interested in something I might never understand in my entire life ;-;

  • Andrew Altman

    Andrew Altman

    2 giorni fa

    im only 9 and i understand this

  • Utube is karen

    Utube is karen

    2 giorni fa

    Interesting pattern that will eventually repeat if you just keep going >_< the “infinite” is a lie, you can’t lay an infinite thing on your floor

  • Narancs ember

    Narancs ember

    2 giorni fa

    It's getting really VSausy here

  • K Gaming

    K Gaming

    3 giorni fa

    Good speech in the end

  • Seth Alvo's Grandma

    Seth Alvo's Grandma

    3 giorni fa

    This video broke My Brain

  • AahIJustAteYT

    AahIJustAteYT

    3 giorni fa

    Can i get an uh... robert burger?

  • Seth Alvo's Grandma

    Seth Alvo's Grandma

    3 giorni fa

    Make cgp gray watch this

  • jonki leshi

    jonki leshi

    3 giorni fa

    The helpful reindeer dewailly wait because layer dimensionally stitch across a obsequious beast. overjoyed, high-pitched tank

  • Hermit Crafter

    Hermit Crafter

    3 giorni fa

    Well he never denied Pluto being a planet...

  • AlexanderB.

    AlexanderB.

    3 giorni fa

    18:18 what are the "vertices" that he talks about?

    • fewwiggle

      fewwiggle

      11 ore fa

      I believe he means where the pieces of the quasi-crystal come together at "points" (as opposed to at their faces or their edges)

  • Michel.B

    Michel.B

    3 giorni fa

    By definition , crystals are made of replication of the same pattern in a periodically fashion. This is not a crystal, but a quasi-crystal..

  • Aviishere Blockcraft

    Aviishere Blockcraft

    4 giorni fa

    Who else thinks this should be a Vsauce2 video?

  • Zeditha GamingDragon

    Zeditha GamingDragon

    4 giorni fa

    There's a beautiful correlation between the mathematitians reducing the number of tiles necessary to tile the plane aperiodically, and speedrunners reducing how many items are needed to beat games. How few things are needed? Is there a way to simplify this? What tricks could be useful? Humans are all so similar, even when we're very different

  • Héctor Villa Fernández

    Héctor Villa Fernández

    4 giorni fa

    As sidenote, the main reason that quasicrystals where mocked at first, it was because most critics (mainly chemists) pointed out that no natural quasicrystal was found, only synthetic ones. Thus weakening his hypothesis, since they were seen as unprobable human artifact that did not produce materials of a big enough size (then, were only a few molecules in size).
    Only a few years laters, when some geologists found that impactites (minerals produced by the massive pressure and temperature increase produced in the landing of a meteorite) were better modelled as non-periodic quasicrystals, than "conventional" crystals, his hypothesis started to be seen as valuable, since this impactites were evidence that they could extend millions of molecules without periodically repeating themselves, and that they existed without human intervention.

  • __

    __

    4 giorni fa

    In the thumbnail alone, I counted at least 4 repetitions.
    Even in the opening frame, I see one. Focusing on the 5 slice circles, near the top left is one the goes 'green, red, blue, red, blue', then that same circle shows up near the bottom right.

  • Václav Zámečník

    Václav Zámečník

    4 giorni fa

    I live in check republick

  • Chelli

    Chelli

    4 giorni fa

    9:59 this hurts my eyes

  • Power_Girl_89

    Power_Girl_89

    4 giorni fa

    19:36
    (ended on a sad note)
    AD: dO yOu WaNt To PlAy SoMe ViDeO GaMeS?!?!?

  • JoJoelle

    JoJoelle

    4 giorni fa

    so... you’re saying the pentagon is the answer to the universe..?

  • JoJoelle

    JoJoelle

    4 giorni fa

    my tiny brain couldn’t handle this

  • Neil Mali

    Neil Mali

    4 giorni fa

    Me at 9:23- stop trying to hypnotize me 😤

  • ItsEnchantedApple0

    ItsEnchantedApple0

    4 giorni fa

    9:16 WHY DID I WATCH TO SEE SOMETHING CENSOR ITSELF

  • ItsEnchantedApple0

    ItsEnchantedApple0

    4 giorni fa

    Hmm, So It Was 3 Months Ago Since I Saw This Video... Worth Watching I Guess
    Edit: I Change My Mind, This Tricked Me Into A Class >:(

  • SaturnClouds

    SaturnClouds

    4 giorni fa

    I’m seeing those spongebob starfish things you’d see in the background

  • QuieroKitty

    QuieroKitty

    4 giorni fa

    8:07 Why is that “almost” 5-fold symmetry? Isn’t it exactly that?

  • Brian Hudiono

    Brian Hudiono

    4 giorni fa

    Veritasium: Infinite pattern that never repeats
    My geography teacher making my test: *WRITE THAT DOWN, WRITE THAT DOWN*

  • Ray Preseau

    Ray Preseau

    4 giorni fa

    ......yep, that's what i was thinking along.🙄

  • Iwitrag

    Iwitrag

    5 giorni fa

    Lastpass had been hacked in the past, why should I provide my sensitive data to that cloud service?

  • Aditya Tyagi

    Aditya Tyagi

    5 giorni fa

    Cool video. Just a little FYI, they are called Hemachandra Numbers who discovered this sequence much sooner than Fibonacci.

  • Lunargal 624

    Lunargal 624

    5 giorni fa

    So, wanted to give you some credit. I’m using the kites and darts pattern to tile my bathroom when I remodel it. The suns, stars, and butterflies look beautiful and the thought of the tiles being their own pattern and can never be repeated astonishes me!

  • the peanut gallery

    the peanut gallery

    5 giorni fa

    if it never repeats then it's not a pattern now is it?

    • Larry Arthauer

      Larry Arthauer

      5 giorni fa

      lol

  • mosirskii skii

    mosirskii skii

    5 giorni fa

    Kifflom

  • Je Suis Ce Que Je Suis

    Je Suis Ce Que Je Suis

    5 giorni fa

    "Kepler is most famous for figuring out that planetary orbits are ellipses." - Except they're not ellipses, they're spiral.

  • Mop Mop

    Mop Mop

    6 giorni fa

    HEXAGONS ARE THE BESTAGONS!!!

  • Pedro Lucas

    Pedro Lucas

    6 giorni fa

    I started watching bodybuilders workouts, then end up here 😁

  • Varalakshmi K

    Varalakshmi K

    6 giorni fa

    Aayush Japanese CRO Japanese CRO Japanese

  • Varalakshmi K

    Varalakshmi K

    6 giorni fa

    Vi bitonic solid a metric guard there are 6 the bubble the best one is vi Onyx

  • Varalakshmi K

    Varalakshmi K

    6 giorni fa

    5 Pathan excellent

  • Varalakshmi K

    Varalakshmi K

    6 giorni fa

    NhvfgyguuhuhjkïÏ ffgtx yyjojhjubyy and success of earths is a octagonal space with lyrics that make up the biggest numbers in history and Sheikh call girl mother god megagon

  • Erik Footz

    Erik Footz

    6 giorni fa

    My last braincell likes to play with TNT...

  • Antoine LIANG

    Antoine LIANG

    6 giorni fa

    Wait, isn't it impossible for infinity to not repeat?

  • ur mom gey

    ur mom gey

    7 giorni fa

    i was like damn that looks fake untill i saw...

  • Yvonne Lecobo-an

    Yvonne Lecobo-an

    7 giorni fa

    I don’t understand anything....

  • ZakarooNetwork

    ZakarooNetwork

    7 giorni fa

    4:39 that 5 Fold pattern in on ancient Indian Hindu temples.

  • Angry_Flan

    Angry_Flan

    7 giorni fa

    man, this video allowed me to get that in infinity we all occur and that infinity really is infinite

  • Abeth Stambaugh

    Abeth Stambaugh

    7 giorni fa

    you know youre a nerd when you both find this video cool and recognize the icosohedrons as being the same shape as a d20

  • JASPER LIMPYO

    JASPER LIMPYO

    8 giorni fa

    Hexagon is the bestagon

  • STobacco

    STobacco

    8 giorni fa

    i mean we all know, Hexagon is the bes-tagon

  • Oliver StJulien

    Oliver StJulien

    8 giorni fa

    The teeny-tiny discussion customarily bare because day iteratively depend sans a uneven dungeon. chief, blue seat

  • Seth Euan Castillo

    Seth Euan Castillo

    8 giorni fa

    Me watching and acting like i understand a single thing: ah isee

  • Carwin Byington

    Carwin Byington

    8 giorni fa

    That's an oxymoron. How can anything be a pattern if it doesn't repeat?

  • Fif Gallag

    Fif Gallag

    8 giorni fa

    watching that first part after jan Misali's "there are 48 regular polyhedra" hits different

  • AlphonsVlad

    AlphonsVlad

    8 giorni fa

    മലയാളി പൊളി അല്ലെ

  • Sushilord 715

    Sushilord 715

    8 giorni fa

    N O

  • Nash Koryta

    Nash Koryta

    8 giorni fa

    I learned more from thia than i did in school in the last month