The Infinite Pattern That Never Repeats

30 sep. 2020
8 874 896 Weergaven

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 NLworld)
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”

    VeritasiumVeritasium3 maanden geleden
    • Wtf does that mean

      Fudge A Tron GamingFudge A Tron Gaming9 dagen geleden
    • 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.

      Totally a Grumman F-14 TomcatTotally a Grumman F-14 Tomcat11 dagen geleden
    • @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.

      JanPBtestJanPBtest11 dagen geleden
    • 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.

      Bazza The GreatBazza The Great12 dagen geleden
    • I am from Czech republic 👌

      Daniel KomárekDaniel Komárek12 dagen geleden
  • we can see real you untill this video. you the crazy quasi youtuber

    Soner IftarSoner IftarUur geleden
  • 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 ~ 👿👿👿

    GraveXGraveX3 uur geleden
  • The imaginary fifth simultaneously punish because bread eventually snore between a superficial court. bouncy, spiffy body

    gloria2014 sanders2017gloria2014 sanders20174 uur geleden
  • Imagine a mansion tiled with pieces like that The tilers would be crippled at the end

    Boban ChackoBoban Chacko5 uur geleden
  • This seems like universe.....too weird.

    N IN I10 uur geleden
  • This hurt my brain in so many different ways. This is going to take some time to process.

    chris Kolaczanchris Kolaczan13 uur geleden
  • Platonic solids, just DND dice

    Surfer FrankrinSurfer Frankrin16 uur geleden
  • I zoned out lol.

    SavavilleSavaville16 uur geleden
  • 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.

    Chris RobertsChris Roberts17 uur geleden
  • The broken millimeter internationally appear because celsius adversely prefer without a questionable vest. political, wiggly act

    gloria2014 sanders2017gloria2014 sanders201717 uur geleden
  • 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.

    ZakuZaku18 uur geleden
  • I love your videos! Such interesting content

    Tanya SamantaTanya Samanta23 uur geleden
  • Well this is the first video from you I can't understand no matter how much I think about it 🤪

    Oztekin219Oztekin219Dag geleden
  • 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 ;-;

    Cataria Kitten YTCataria Kitten YTDag geleden
  • im only 9 and i understand this

    Andrew AltmanAndrew AltmanDag geleden
  • 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

    Utube is karenUtube is karenDag geleden
  • It's getting really VSausy here

    Narancs emberNarancs emberDag geleden
  • Good speech in the end

    K GamingK GamingDag geleden
  • This video broke My Brain

    Seth Alvo's GrandmaSeth Alvo's GrandmaDag geleden
  • Can i get an uh... robert burger?

    AahIJustAteYTAahIJustAteYTDag geleden
  • Make cgp gray watch this

    Seth Alvo's GrandmaSeth Alvo's GrandmaDag geleden
  • The helpful reindeer dewailly wait because layer dimensionally stitch across a obsequious beast. overjoyed, high-pitched tank

    jonki leshijonki leshiDag geleden
  • Well he never denied Pluto being a planet...

    Hermit CrafterHermit CrafterDag geleden
  • 18:18 what are the "vertices" that he talks about?

    AlexanderB.AlexanderB.2 dagen geleden
  • By definition , crystals are made of replication of the same pattern in a periodically fashion. This is not a crystal, but a quasi-crystal..

    Michel.BMichel.B2 dagen geleden
  • Who else thinks this should be a Vsauce2 video?

    Aviishere BlockcraftAviishere Blockcraft2 dagen geleden
  • 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

    Zeditha GamingDragonZeditha GamingDragon2 dagen geleden
  • 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.

    Héctor Villa FernándezHéctor Villa Fernández2 dagen geleden
  • 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.

    ____2 dagen geleden
  • I live in check republick

    Václav ZámečníkVáclav Zámečník2 dagen geleden
  • 9:59 this hurts my eyes

    ChelliChelli2 dagen geleden
  • 19:36 (ended on a sad note) AD: dO yOu WaNt To PlAy SoMe ViDeO GaMeS?!?!?

    Power_Girl_89Power_Girl_892 dagen geleden
  • so... you’re saying the pentagon is the answer to the universe..?

    JoJoelleJoJoelle2 dagen geleden
  • my tiny brain couldn’t handle this

    JoJoelleJoJoelle2 dagen geleden
  • Me at 9:23- stop trying to hypnotize me 😤

    Neil MaliNeil Mali2 dagen geleden

    ItsEnchantedApple0ItsEnchantedApple02 dagen geleden
  • 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 >:(

    ItsEnchantedApple0ItsEnchantedApple02 dagen geleden
  • I’m seeing those spongebob starfish things you’d see in the background

    SaturnCloudsSaturnClouds2 dagen geleden
  • 8:07 Why is that “almost” 5-fold symmetry? Isn’t it exactly that?

    QuieroKittyQuieroKitty2 dagen geleden
  • Veritasium: Infinite pattern that never repeats My geography teacher making my test: *WRITE THAT DOWN, WRITE THAT DOWN*

    Brian HudionoBrian Hudiono2 dagen geleden
  • ......yep, that's what i was thinking along.🙄

    Ray PreseauRay Preseau3 dagen geleden
  • Lastpass had been hacked in the past, why should I provide my sensitive data to that cloud service?

    IwitragIwitrag3 dagen geleden
  • Cool video. Just a little FYI, they are called Hemachandra Numbers who discovered this sequence much sooner than Fibonacci.

    Aditya TyagiAditya Tyagi3 dagen geleden
  • 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!

    Lunargal 624Lunargal 6243 dagen geleden
  • if it never repeats then it's not a pattern now is it?

    the peanut gallerythe peanut gallery3 dagen geleden
    • lol

      Larry ArthauerLarry Arthauer3 dagen geleden
  • Kifflom

    mosirskii skiimosirskii skii4 dagen geleden
  • "Kepler is most famous for figuring out that planetary orbits are ellipses." - Except they're not ellipses, they're spiral.

    Je Suis Ce Que Je SuisJe Suis Ce Que Je Suis4 dagen geleden

    Mop MopMop Mop4 dagen geleden
  • I started watching bodybuilders workouts, then end up here 😁

    Pedro LucasPedro Lucas4 dagen geleden
  • Aayush Japanese CRO Japanese CRO Japanese

    Varalakshmi KVaralakshmi K4 dagen geleden
  • Vi bitonic solid a metric guard there are 6 the bubble the best one is vi Onyx

    Varalakshmi KVaralakshmi K4 dagen geleden
  • 5 Pathan excellent

    Varalakshmi KVaralakshmi K4 dagen geleden
  • 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

    Varalakshmi KVaralakshmi K4 dagen geleden
  • My last braincell likes to play with TNT...

    Erik FootzErik Footz4 dagen geleden
  • Wait, isn't it impossible for infinity to not repeat?

    Antoine LIANGAntoine LIANG4 dagen geleden
  • i was like damn that looks fake untill i saw...

    ur mom geyur mom gey5 dagen geleden
  • I don’t understand anything....

    Yvonne Lecobo-anYvonne Lecobo-an5 dagen geleden
  • 4:39 that 5 Fold pattern in on ancient Indian Hindu temples.

    ZakarooNetworkZakarooNetwork5 dagen geleden
  • man, this video allowed me to get that in infinity we all occur and that infinity really is infinite

    Angry_FlanAngry_Flan5 dagen geleden
  • you know youre a nerd when you both find this video cool and recognize the icosohedrons as being the same shape as a d20

    Abeth StambaughAbeth Stambaugh5 dagen geleden
  • Hexagon is the bestagon

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

    STobaccoSTobacco6 dagen geleden
  • The teeny-tiny discussion customarily bare because day iteratively depend sans a uneven dungeon. chief, blue seat

    Oliver StJulienOliver StJulien6 dagen geleden
  • Me watching and acting like i understand a single thing: ah isee

    Seth Euan CastilloSeth Euan Castillo6 dagen geleden
  • That's an oxymoron. How can anything be a pattern if it doesn't repeat?

    Carwin ByingtonCarwin Byington6 dagen geleden
  • watching that first part after jan Misali's "there are 48 regular polyhedra" hits different

    Fif GallagFif Gallag6 dagen geleden
  • മലയാളി പൊളി അല്ലെ

    AlphonsVladAlphonsVlad6 dagen geleden
  • N O

    Sushilord 715Sushilord 7156 dagen geleden
  • I learned more from thia than i did in school in the last month

    Nash KorytaNash Koryta6 dagen geleden
  • you do realise your name is a truth serum

    Raviel Beaumont De guzmanRaviel Beaumont De guzman6 dagen geleden
  • its so fascinating its almost creepy

    qwertshirtqwertshirt6 dagen geleden
  • This has to be one of the most fascinating videos I've ever watched on NLworld!

    Neil StansburyNeil Stansbury6 dagen geleden
  • I'm speechless

    blang shimurublang shimuru6 dagen geleden
  • Progers

    OMERECKER _3250OMERECKER _32507 dagen geleden
  • I had never heard of this before, and its amazing

    Jackson CookJackson Cook7 dagen geleden
  • 1:24 no one: me, a DnD player: did you mean D4, D6, D8, D12 and D20 anyway-

    animator blueberry sansanimator blueberry sans7 dagen geleden
  • Mind blown! I love this stuff

    NorthSoulStarNorthSoulStar7 dagen geleden
  • Dear Kepler, Snowflakes are that way because hexagons are bestagons. - CGP Grey, probably

    Eli HaslageEli Haslage7 dagen geleden
  • Where can i buy the red, green and blue things?

    TyloreanTylorean7 dagen geleden

    Tushar MoitraTushar Moitra7 dagen geleden
  • This is an amazing video! The big boxes of these in the video would be really fun to play with - even for kids, I'd imagine. Especially, as educational tools. Did any find a good place to purchase kites and darts tiles?

    zeitblomszeitbloms8 dagen geleden
  • kind of like block chain tech

    Rich BuddyRich Buddy8 dagen geleden
  • I swear we all learn more in NLworld than school.

    Julian GarciaJulian Garcia8 dagen geleden
  • Work with V sauce?

    Dr .FosterDr .Foster8 dagen geleden

    Veronika ZoselovaVeronika Zoselova8 dagen geleden
  • You sure it doesnt repeat? I think people are quite simply too lazy to check

    Blas Felip HimmelreichBlas Felip Himmelreich8 dagen geleden

    Ashley the_gacha simpAshley the_gacha simp8 dagen geleden
  • Uhm.... I see a repeat in the thumbnail?

    Kaitlyn CunninghamKaitlyn Cunningham8 dagen geleden
  • My Girlfriend: buy some thing to eat Me :

    Ian FooIan Foo8 dagen geleden
  • “Why always six?” Cgp Grey:because hexagons are the bestagons

    Kurt PlaysKurt Plays8 dagen geleden
    • That is literally the next video in my recommended

      Íris GrétarsdóttirÍris Grétarsdóttir19 uur geleden
  • I have a particular problem with 'unverifiable infinity' I would want to say that I don't believe the pattern is truly infinite.. So much as I think that it is able to build roated sub patterns into layers, where as it'd as likely take such an absurd scope to even find the repeat, that I think the comparison to shapes like squares, triangles, & even other multi-part shapes a bit on the unfair sense, as the building of the pattern uses logistical rules beyond 'fitting sides together'. Though, what i think is as likely as much else... it being rather unfair & .. sorta dismissive to say 'infinite number of patterns' while admitting to sub repeating parts. It's also 'slightly misleading' to suggest it's only 2 shapes that makes that pattern, when it ends up being dozens on dozens, with only 2 kinds. -- as if it was 1 pattern diced up into several, really.. Not to say 2 very simple elements of something can't make up something extensively more complicated then it's parts alone.. though, perhaps it's the secret right? that such things once weaved large enough becomes the fabric of which everything is made from.... and thus a thing onto it self where it becomes misleading to claim 2 elements once those patterns start creating patterns that create patterns & continue to do so the more that is pulled back out to a point of unknown stability. what of Protons & electrons? if woven so close & having it's own logic & laws, making up reality as we know it.. that the existence of everything else is just them.. might be missleading to say protons & electrons, when say.. you're holding a drink, or food. I do believe it is scale for sure and such things can lead to understanding about sheer fundamentals, but if the 'examples' are little more then utterly mind boggling & effectively impossible to examine in full with even projected future hardware, then... what of the real deal & why do we consider it immutable if at the core of thingss it is only a 0 or a 1... a fat shape or a shape, & by knowing what's what.. you could change the localized rules for x things, and manipulate the patterns. -- as any sufficiently complicated pattern would have a drift ability & in that excessive resistance to destruction via pattern changing. this being the whole of the thing... while localized patterns would have to change to fit the alterations.. while not changing the overall patterns.

    Kerns NoelKerns Noel8 dagen geleden
  • The special albatross morphometrically trace because list histologically knit anenst a acidic soldier. disgusted, plastic purpose

    Walter MooreWalter Moore8 dagen geleden
  • i don't know what tf they're talking about.

    Hydr0WavesHydr0Waves8 dagen geleden
  • I've learned so much but nothing at the same time

    TroveionTroveion8 dagen geleden
  • Poggers for God

    Keeva GraceKeeva Grace8 dagen geleden
  • I saw it repeat twice already

    kirby is a Christian mankirby is a Christian man8 dagen geleden
  • Excuse me

    Black BoardBlack Board8 dagen geleden
  • My only question after watching this entire video: So, what sanitarium did Penrose end up in? (You just KNOW he's been drawing on the floor and walls of his room!)

    America just keeps getting greater!America just keeps getting greater!8 dagen geleden
  • Thank you for using the phrase "raises the question" at 5:32 (which was the correct phrase to use in this instance), instead of using the phrase "begs the question" (which would've been the wrong phrase to use in this instance, since it means something entirely different)! I cringe every time someone misuses the phrase "begs the question!"

    ksmoker27ksmoker278 dagen geleden