The Infinite Pattern That Never Repeats

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Simple 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 ARworlds)
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”

    VeritasiumVeritasium6 أشهر قبل
    • husejn179husejn1796 أيام قبل
    • It never repeats but the universe itself clearly does. Ok.

      Yodas Raytraced Retro StudiosYodas Raytraced Retro Studios7 أيام قبل
    • That’s nice

      Itz_ClixzyItz_Clixzy10 أيام قبل
    • Wait, the astronasts select by Skill where also 1.6! It all has a pattern, but has actually Not🥴

      Big SmokeBig Smoke12 أيام قبل
    • DUDE! I saw this pattern in a movie (can't remember the name of the movie, scene was near the end, two characters standing on a plaza with the Penrose pattern in the tile beneath them), and I searched for it for an embarrassing amount of time with no luck. Thank you, thank you, THANK YOU! for scratching this mental itch that has been in the back of my mind for months. Ahhhhhhhhhhh.........

      Shawn HartmannShawn Hartmann14 أيام قبل
  • Go to 9:34. Mind blown!!!!

    Frances McCollumFrances McCollum18 دقائق قبل
  • math is weird...

    Coolcoolguy65Coolcoolguy658 ساعات قبل
  • I get why he has so much subscribers

    Mr. HanMr. Han11 ساعات قبل
  • thumb down for commercial every 3 minutes

    grodt88grodt8812 ساعات قبل
  • What am I missing all the tiles look the same to me, he says they don't repeat and clearly they do.

    MS ArchiveMS Archive13 ساعات قبل
  • So that's how to pronounce moire.

    Poppy PalaisPoppy Palais13 ساعات قبل
  • Man looking at this amazing video and all the stuff about fibonacci sequence just makes me want to listen to Lateralus.

    PropozitorPropozitor13 ساعات قبل
  • So the greatest randomness van exist from 50""50""

    marcello roosmarcello roos14 ساعات قبل
  • brb re-tiling my bathroom

    Allen WilliamsonAllen Williamson16 ساعات قبل
  • 16:15 you lost me there. I thought this was supposed to work any way possible

    remconetremconet16 ساعات قبل
  • the thing is that we try to understand the world so much but in reality there is no understanding. like the quasicrystal, it seems to not abide by our arbitrary "laws" of nature, and yet it exists. nature doesn't have laws that it always follows and we should stop shutting down things like for instance a quasicrystal because we think we know it all

    AnymAnym17 ساعات قبل
  • 0:51 They're the barriers that get put up around you when you get friend-zoned by someone.

    Victor HuffVictor Huff17 ساعات قبل
  • Wait...isn't a pattern supposed to repeat by definition of what makes a pattern?

    Victor HuffVictor Huff17 ساعات قبل
  • Allow me to state the (painfully!) obvious: You have an extraordinary mind! Love the videos; thank you.

    ian1856ian185619 ساعات قبل
  • 9:00 - Funny...i am sure he did not want to, but that moving pattern is a worst case scenario for video compression. You can see, how the quality dips down, as the algorithm struggles to keep the number of refreshed areas to a minimum, but the picture is just too much noise, to keep a good quality, at the given bitrate. As an (shortened) explanation for those who do not know: Modern video codecs obviously are trying to keep the size of a video-file down. One way they do this, is by cutting the image into tiles, which is funny, given the topic of this video. The algorithm then looks at these little pieces and compares the current frame with the next one. If a tile matches...or closely matches the one at the same position in the next frame, then only a reference to that tile is saved, which takes up less space. So one tile is then effectively used twice, because they didn’t change between frames. The more you compress a movie, the more it tries to find matching tiles and the „loser“ the rules for „What is matching?“ get. That also means, that the quality gets worse, because the tiles get matched with others, that aren‘t QUITE the same and at one point, our eyes notice. The desired file (to be exact the bitrate) size then dictates the number of original/true tiles can be saved, compared to just a reference. What does that mean in this context? Well 1, a compressing algorithm LOVES videos, that display the same thing, over and over again, because that means a lot of same-y tiles. And 2, the more the picture changes, the more original tiles must be saved. However we just established, that this number is finite. Not only is it finite, the algorithm has to spread each tile evenly, it cannot spend every tile in the first second, because then there is nothing left for the rest. That rate, in which the tiles are „spent“ is basically, what the bitrate is. Number 3: Knowing that, we also know, that the bitrate is also finite, which means, if the number of changed tiles per frame exceeds the number of tiles the algorithm can spend, it is forced to widen the rules (remember the size and bitrate cannot be increased), as described above, which leads to a blurry video, the higher that difference is. That noise he created CONSTANTLY changes and quickly spends our tile-budget and that is why it starts looking blurry. Why am i writing this? I have no goddamn clue, i just found it interesting!

    IncapableLPIncapableLP22 ساعات قبل
  • NOT INTRESTED ARworlds get this outta ma face

    Drago DonDrago Donأيام قبل
  • my bwain hurts qwq

    petfroggy dbmpetfroggy dbmأيام قبل
  • Wow you mean people guessed they knew amazing so they deceived self refuse correction refuse direction refuse truth Demand know can't explain don't understand yet try demand know arrogamt pathological liars I see true and just it's not pretty

    Jeremy MettlerJeremy Mettlerأيام قبل
  • Haha I was just watching Tom Scott's video about paid promotions he was spot on

    TerryTwoToesTerryTwoToesأيام قبل
  • this is scary

    ΩΜΣGΛΩΜΣGΛأيام قبل
  • how boring, about to change position of track in 5, 4 , 3 .....

    Modulo AlgoritmoModulo Algoritmoأيام قبل
  • Where did you get the two transparent sheets that you used to make the moire pattern?

    Marc ScillieriMarc Scillieriأيام قبل
  • @1:31 DnD dice

    Eric RoschuniEric Roschuniأيام قبل
  • holy life metaphor... god, its got me wanting to trip xD

    Emma FissingerEmma Fissingerأيام قبل
    • Always respect psychedelics.

      Distran The Gloriously DeformedDistran The Gloriously Deformed9 ساعات قبل
  • The perfect 20-minute Discovery channel time-killer episode.

    LolechiLolechiأيام قبل
  • toooooooooooooo many ads 🤢

    shahab shafieeshahab shafieeأيام قبل
  • "A portion" of the video was sponsored by LastPass?? First time I've ever heard that

    Mati NMati Nأيام قبل
  • I used to use LastPass but they had a network breach once. They are not open source so that their program/apps are not audited for backdoors. I use the Open Source product Bitwarden. It is audited by the community and... is cheaper.

    Christopher GroveChristopher Groveأيام قبل
  • Does there exist a never repating tile pattern that is actually pleasing to look at? Like the idea of laser cutting some wood tiles and glueing them down interest me, but the patterns shown on this video would not work.

    scalorscalor2 أيام قبل
  • My monkey brain understood like 0.000000001% but I love it!

    James RonJames Ron2 أيام قبل
  • Music name 2:00??

    teka loves youteka loves you2 أيام قبل
  • This video is impressively well made

    Bum pomBum pom2 أيام قبل
  • How do you define aperiodic tiling mathematically? And is there a condition(s) that the shapes which form an aperiodic pattern must satisfy?

    Yahya BYahya B2 أيام قبل
  • min 14:02 on each star is. a now german "in jedem stern ist auf den fünf enden oder straheln die gearade miteinader verbeunden sind im rechten winkel ein fünfeck zu sehn wie zuvor beschrieben. dass sechseck wie es bienenwaben haben ist nicht so gewollt es entwickelt sich durch kreise die aneinander gereiht werden wie eine kugel das größte volumen bei der kleinsten oberfläche hat so ergänzen sich körper des selben umfanges am besten im sechseck. ist ein gesetz der thermodynaik dass mir grad nicht einfällt, aber so ist es.

    bubblegumraybubblegumray2 أيام قبل
  • Where can we buy thoses puzzles?

    heemin leeheemin lee2 أيام قبل
  • Didnt understand 3/4 of what he said but ok.

    GrozaGroza3 أيام قبل
  • I've never even heard of this but I'm extremely interested

    [content deleted][content deleted]3 أيام قبل
  • UwU

  • I mean, do you like weed?

    Alcreate.plAlcreate.pl3 أيام قبل
  • If we had the chance to learn topics like we see in these videos in school, I would of payed a lot more attention

    Mensa XMensa X3 أيام قبل
  • why did i smoke weed before this

    Owen KeelingOwen Keeling3 أيام قبل
  • Pffft those are hexagons

    Me.Me.3 أيام قبل
  • Wow!

    Avatar XAvatar X3 أيام قبل
  • if it never repeats then it isn't a pattern...

    Dieseluk2kDieseluk2k3 أيام قبل
  • hexagon are the bestagon

    Juan Miguel VerzosaJuan Miguel Verzosa3 أيام قبل
  • could you make a 3D Aperiodic puzzle of a pyramid?

    Different 1Different 14 أيام قبل
  • Watch pentagon is the best a gone

    David ShakespeareDavid Shakespeare4 أيام قبل
  • We were always wondering what the 4th dimension looked like, well here's the 5th

    Calvin WeberCalvin Weber4 أيام قبل

    Zoltán PappZoltán Papp4 أيام قبل
  • I went to Prog and Pink Floyd wasn’t there and neither were any talking goats 0/10

    The Funny TV Man of the NightThe Funny TV Man of the Night4 أيام قبل
  • watch this before bed because its satisfying

    Statue Of LibertyStatue Of Liberty4 أيام قبل
  • I kind of hate all of this.

    Amy TurnerAmy Turner5 أيام قبل
  • outside topic. i just realised weaponry has to give up alot of fault to the inverse square law some how.. packing factor, firing ammunition, and physics of projectiles all play together.. perfect pacing factor would be rectangular shells, ofcourse then it would fire and fly less efficiently because charges get most efficientcy from being circular.. whatever powder or charge doesnt burn evenly in rectangular chambers and a rectangular munition would be awful to use precisely

    60FPS60FPS5 أيام قبل
  • I want to see someone make this pattern in Minecraft.

    Nameless DreadNameless Dread5 أيام قبل
  • Can this pattern be used for encryption

    Lakers4LifeLakers4Life5 أيام قبل
  • Confusing ass title

    Heated TurtleHeated Turtle5 أيام قبل
  • Is it even a pattern then?

    KOMOKOMO5 أيام قبل
  • Mind. Blown.

    Tamim AzizadahTamim Azizadah5 أيام قبل
  • 12:18 what if one shapes was different and the person to find it would get something.

    Jack BrutonJack Bruton5 أيام قبل
  • Could the tiling be used in encryption?

    Douglas CollinsDouglas Collins5 أيام قبل
  • The luxuriant roast acly unpack because twilight cumulatively drum into a handsomely novel. automatic, rotten christmas

    jonki leshijonki leshi5 أيام قبل
  • it does repeat

    Kyra _Kyra _5 أيام قبل
  • This video is an example of people who have waaaaay too much time on their hands.

    1 11 15 أيام قبل
  • Fascinating ! Even for a complete non-matematician as me...

    Michel P. VanwelkenhuyzenMichel P. Vanwelkenhuyzen6 أيام قبل
  • imagine having ocd watching this

    AlixAlix6 أيام قبل
  • I live in Czech

    Jáchym HanzlJáchym Hanzl6 أيام قبل
  • Me just realizing that he could have chose any number for the atomic number of Veritasium but he chose 42(0): Nice

    Joseph UdoudoJoseph Udoudo6 أيام قبل
  • Does anyone know where to buy one of those icosahedrons he has at 17:17

    Darren vermeerDarren vermeer6 أيام قبل
  • The three fan antenatally brush because archaeology strangely bore beyond a watery school. true, pricey truck

    영하한영하한6 أيام قبل
  • it's 4am somewhere

    professorquack supertrackprofessorquack supertrack6 أيام قبل
  • As below, so above. Look at the International Institute for Conductors logo. It is a representation of a conductor standing in an icosahedron, one of the platonic solids. According to Rudolf Laban the architecture of our personal space reflects Keplr's vision of planetary space. Cool!

    Embodied ConductingEmbodied Conducting6 أيام قبل
  • oh, please tell me this video is in a golden aspect ratio. i have been dying to know!

    NikoNiko6 أيام قبل
  • It's not a pattern if it doesn't repeat

    StabvestStabvest6 أيام قبل
  • Robert burger

    DonutRBLXDonutRBLX6 أيام قبل
  • Math is amazing...I'm too stupid to understand :(

    J HJ H6 أيام قبل
  • I understand.

    ZxayleZxayle6 أيام قبل
  • I knew math would be important - I just chose not to pay attention. now I feel like I missed some magical universal language of numbers that puts me below other people

    Lewis FilbyLewis Filby6 أيام قبل
  • In 2007, the physicists Peter J. Lu and Paul J. Steinhardt suggested that GIRIH tilings possess properties consistent with self-similar fractal quasicrystalline tilings such as Penrose tilings, predating them by five centuries.

    Divers ChoseDivers Chose6 أيام قبل
  • We are right in it!

    Pola & TigerPola & Tiger6 أيام قبل
  • Haha, we wrote a philosophy exam about it...

    Okke WarnerOkke Warner6 أيام قبل
  • Please tell me I’m not the only one who sees this on LSD

    LesterLester6 أيام قبل
  • tesselation is epic.

    MileyMiley6 أيام قبل
  • Now bend space to force the pattern to tile periodically, does the bent space have a pattern?

    KDawgKDawg6 أيام قبل
  • I wish I was your level of smart

    Plazma XIIPlazma XII7 أيام قبل
  • wait this guy went to prague in october 2020- description: “prague scenes filmed in 2012” ...wait this guy started this EIGHT YEARS ago???

    GondamarGondamar7 أيام قبل
  • The thumbnail messed up my vision for 10 seconds. Bruhhhhhhhh

    Lego Wisdom Maker ManLego Wisdom Maker Man7 أيام قبل
  • Hexagons are the bestagons dude

    Camilo SanchezCamilo Sanchez7 أيام قبل
  • I'm too high for this.

    ETHAN SalinasETHAN Salinas7 أيام قبل
  • Proof that reality is built on numbers

    멘토르석사멘토르석사7 أيام قبل
  • This reminds me of one of those criminal shows where everything starts to come together and they find out it's all connected.

    zollozollo7 أيام قبل
  • Definition Of Pattern: A *Repeated* Decorative Design. Title Of Video: Pattern That Never Repeats Me: *_cOnFuSiOn_*

    Gavin BundrockGavin Bundrock7 أيام قبل
  • Cepler was to Smart to explain it, its the truth. Think about expeaining something to a dog...

    Wojciech ChomiakWojciech Chomiak7 أيام قبل
  • If you really think about it if something is infinite meaning it has no end the chance of it repeating itself at least once is literally guaranteed to happen

    GreatiblongGreatiblong7 أيام قبل
  • at 1:24 who else saw massive hollow dnd dice set XD

    darklight balancerdarklight balancer7 أيام قبل
  • this is pog

    LtheCLtheC7 أيام قبل
  • In all seriousness, is the title an oxymoron? As surely a pattern is something that repeats itself. Great video btw though

    The Hysterical LeprechaunThe Hysterical Leprechaun7 أيام قبل
  • Max was here

    Max BMax B7 أيام قبل
  • The scared pizza genetically chew because fowl karyologically prevent pace a sloppy shoulder. curvy, hurt summer

    pudpud kirkpatrickpudpud kirkpatrick7 أيام قبل
  • The resonant exchange oceanographically dislike because hemp covalently hammer mid a ethereal raincoat. unarmed, irate fighter

    Young JPYoung JP7 أيام قبل