The Infinite Pattern That Never Repeats

30-Sen, 2020
10 177 532 Ko‘rishlar soni

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: 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 UZworld)
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

Fikrlar
  • 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 oy oldin
    • husejn179husejn1792 kun oldin
    • It never repeats but the universe itself clearly does. Ok.

      Yodas Raytraced Retro StudiosYodas Raytraced Retro Studios3 kun oldin
    • That’s nice

      Itz_ClixzyItz_Clixzy6 kun oldin
    • Wait, the astronasts select by Skill where also 1.6! It all has a pattern, but has actually Not🥴

      Big SmokeBig Smoke8 kun oldin
    • 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 Hartmann9 kun oldin
  • could you make a 3D Aperiodic puzzle of a pyramid?

    Different 1Different 127 daqiqa oldin
  • Watch pentagon is the best a gone

    David ShakespeareDavid Shakespeare2 soat oldin
  • We were always wondering what the 4th dimension looked like, well here's the 5th

    Calvin WeberCalvin Weber8 soat oldin
  • ILLUMINATI CONFIRMED

    Zoltán PappZoltán Papp10 soat oldin
  • 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 Night11 soat oldin
  • watch this before bed because its satisfying

    Statue Of LibertyStatue Of Liberty14 soat oldin
  • I kind of hate all of this.

    Amy TurnerAmy TurnerKun oldin
  • 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

    60FPS60FPSKun oldin
  • I want to see someone make this pattern in Minecraft.

    Nameless DreadNameless DreadKun oldin
  • Can this pattern be used for encryption

    Lakers4LifeLakers4LifeKun oldin
  • Confusing ass title

    Heated TurtleHeated TurtleKun oldin
  • Is it even a pattern then?

    KOMOKOMOKun oldin
  • Mind. Blown.

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

    Jack BrutonJack BrutonKun oldin
  • Could the tiling be used in encryption?

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

    jonki leshijonki leshiKun oldin
  • it does repeat

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

    1 11 1Kun oldin
  • Fascinating ! Even for a complete non-matematician as me...

    Michel P. VanwelkenhuyzenMichel P. VanwelkenhuyzenKun oldin
  • imagine having ocd watching this

    AlixAlixKun oldin
  • I live in Czech

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

    Joseph UdoudoJoseph Udoudo2 kun oldin
  • Does anyone know where to buy one of those icosahedrons he has at 17:17

    Darren vermeerDarren vermeer2 kun oldin
  • The three fan antenatally brush because archaeology strangely bore beyond a watery school. true, pricey truck

    영하한영하한2 kun oldin
  • it's 4am somewhere

    professorquack supertrackprofessorquack supertrack2 kun oldin
  • 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 Conducting2 kun oldin
  • oh, please tell me this video is in a golden aspect ratio. i have been dying to know!

    NikoNiko2 kun oldin
  • It's not a pattern if it doesn't repeat

    StabvestStabvest2 kun oldin
  • Robert burger

    DonutRBLXDonutRBLX2 kun oldin
  • Math is amazing...I'm too stupid to understand :(

    J HJ H2 kun oldin
  • I understand.

    ZxayleZxayle2 kun oldin
  • 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 Filby2 kun oldin
  • 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 Chose2 kun oldin
  • We are right in it!

    Pola & TigerPola & Tiger2 kun oldin
  • Haha, we wrote a philosophy exam about it...

    Okke WarnerOkke Warner2 kun oldin
  • Please tell me I’m not the only one who sees this on LSD

    LesterLester2 kun oldin
  • tesselation is epic.

    MileyMiley2 kun oldin
  • Now bend space to force the pattern to tile periodically, does the bent space have a pattern?

    KDawgKDawg2 kun oldin
  • I wish I was your level of smart

    Plazma XIIPlazma XII2 kun oldin
  • wait this guy went to prague in october 2020- description: “prague scenes filmed in 2012” ...wait this guy started this EIGHT YEARS ago???

    GondamarGondamar2 kun oldin
  • The thumbnail messed up my vision for 10 seconds. Bruhhhhhhhh

    Lego Wisdom Maker ManLego Wisdom Maker Man2 kun oldin
  • Hexagons are the bestagons dude

    Camilo SanchezCamilo Sanchez3 kun oldin
  • I'm too high for this.

    ETHAN SalinasETHAN Salinas3 kun oldin
  • Proof that reality is built on numbers

    멘토르석사멘토르석사3 kun oldin
  • This reminds me of one of those criminal shows where everything starts to come together and they find out it's all connected.

    zollozollo3 kun oldin
  • Definition Of Pattern: A *Repeated* Decorative Design. Title Of Video: Pattern That Never Repeats Me: *_cOnFuSiOn_*

    Gavin BundrockGavin Bundrock3 kun oldin
  • Cepler was to Smart to explain it, its the truth. Think about expeaining something to a dog...

    Wojciech ChomiakWojciech Chomiak3 kun oldin
  • 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

    GreatiblongGreatiblong3 kun oldin
  • at 1:24 who else saw massive hollow dnd dice set XD

    darklight balancerdarklight balancer3 kun oldin
  • this is pog

    LtheCLtheC3 kun oldin
  • 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 Leprechaun3 kun oldin
  • Max was here

    Max BMax B3 kun oldin
  • The scared pizza genetically chew because fowl karyologically prevent pace a sloppy shoulder. curvy, hurt summer

    pudpud kirkpatrickpudpud kirkpatrick3 kun oldin
  • The resonant exchange oceanographically dislike because hemp covalently hammer mid a ethereal raincoat. unarmed, irate fighter

    Young JPYoung JP3 kun oldin
  • How is it a pattern then?

    Jack RobertJack Robert3 kun oldin
  • Only people who know what Kepler - 22B is could like

    Sebastian CruzSebastian Cruz3 kun oldin
  • Hexagons are bestagons

    lQF72llQF72l3 kun oldin
  • this is so facinating

    kaltrin arifikaltrin arifi3 kun oldin
  • This is why I am smart

    DA RANDOM BOYSDA RANDOM BOYS3 kun oldin
  • Veritasium: brings out the golden ratio Me: WOOHOOOOOOOOOOOOOOOOOOO!!! Veritasium: brings out the Fibonacci Sequence Me: ...OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO!

    DA RANDOM BOYSDA RANDOM BOYS3 kun oldin
  • 10,101,001 views from when I’m watching lol

    CrazyHairDudeCrazyHairDude3 kun oldin
  • that pattern is exactly what its like to have both ADHD and OCD

    bitchy mitchybitchy mitchy4 kun oldin
  • Aye Jesus loves you guys so much that he died on the cross for you. Regret your sins and accept him as your lord and savior. Love yall Also this messed with my head so much😂

    IrohxtIrohxt4 kun oldin
  • Seeing that clock after watching kutis Conner

    grack haedgrack haed4 kun oldin
  • The pattern version of pi.

    BDOG GBDOG G4 kun oldin
  • 1:50 ........ Umm that looks just like what some military personnel have reported seeing as a UFO...... Fact check me

    Kurt CoBANGERKurt CoBANGER4 kun oldin
  • @Eddie Woo

    Satvik VarunSatvik Varun4 kun oldin
  • We have the Penrose tiling pattern from 8:52 in the chemistry/biochemistry building floor at the University of Western Australia. It has a huge open atrium so you can get a great view from the top floor. There's a plaque on one of the walls explaining the significance.

    Dylan MossDylan Moss4 kun oldin
  • I've made up my mind: I want my kitchen floor to be Penrose Tiling!

    Scott KnowsScott Knows4 kun oldin
  • I just, am not smart enough for this

    Jasleen SJasleen S4 kun oldin
  • feels so good to find out that my country is actually cool

    FireFlyer MC [EN]FireFlyer MC [EN]4 kun oldin
  • Bro wait a minute is this why we used those in in elementary

    Enter NameEnter Name4 kun oldin
  • 1:10 that's some pretty good magic

    Lazer MonkeyLazer Monkey4 kun oldin
  • HEXAGONS ARE THE BESTAGONS

    Michinobu ImaiMichinobu Imai4 kun oldin
  • is this not how the universe works with diffrent dimensions and stuff ??

    Cuan AustinCuan Austin4 kun oldin
  • Is there some equivalent in three dimensions?

    nosarcasm1nosarcasm14 kun oldin
  • The golden ratio... Johnny... This is my 5th lesson...

    Argenteoque CarpentoArgenteoque Carpento4 kun oldin
  • He injured my brain

    Real- PartyboyReal- Partyboy4 kun oldin
  • man this blows my mind at 1:35 in the morning.

    Antonio SangalangAntonio Sangalang4 kun oldin
  • This is a metaphor of life. Think about it, life is an endless cycle of pain and misery, and once it's over, it doesn't repeat. Anyway have a good day :)!

    Imreadytofight8Imreadytofight84 kun oldin
  • So this is the tiles we see in the loki trailer

    HshqlHshql4 kun oldin
  • My second trip through this vid---enjoyable both times. My only beef is--if it doesn't repeat, then it's NOT a pattern, by definition.

    nord koncnord konc4 kun oldin
  • 9:15 it looks farmilliar as if i have already dreamt about this in my lifetime

    88Cows88Cows4 kun oldin
  • Although Pauling was wrong. His response was a micDrop.

    Sphakamiso ZondiSphakamiso Zondi4 kun oldin
  • Alternate tile: the most unsatisfactory floor tiling

    sir thisisawendy’ssir thisisawendy’s4 kun oldin
  • i swear i’ll never get tired of these videos

    Nacho MartinezNacho Martinez4 kun oldin
  • Is this why nature loves hexagons???

    RainBowHamRainBowHam4 kun oldin
  • The erratic broker technically identify because tablecloth relatedly grate unto a reflective fall. astonishing, faded october

    hj yuhj yu4 kun oldin
  • 9:49 where can you find this cool thing

    Mr HoukMr Houk4 kun oldin
  • How can it be a pattern if it doesn't repeat...?

    Jedidiah IthielJedidiah Ithiel4 kun oldin
  • 11:49 its fuTILE

    CoasterPro650 ZLCoasterPro650 ZL4 kun oldin
  • Goat story town

    Zachary VardyZachary Vardy4 kun oldin
  • POV: you finally clicked on this vid after you got recommended this for 1000 times

    JACOB FREDMANJACOB FREDMAN4 kun oldin
  • The agreeable community histomorphometrically cure because elizabeth july decide during a lavish helicopter. troubled, unused close

    Ryan MakarskiRyan Makarski4 kun oldin
  • why am I watching this at 3am? How I get here? lol

    Sohaib ImranSohaib Imran4 kun oldin
  • Might Infinite-none-repeating patterns have to exist even on an atomic level, because change exists? Wouldn't a world with only repetitive symmetric patters be eventually stuck? The golden ratio is so common in nature and in life. It seems to be a constant of change and growth patterns. Pure repetition is like an equivalent of death.

    hey hohey ho4 kun oldin
  • Information > (o_o) > Information (it all went straight in and then out.)

    ScoutScout5 kun oldin
  • The real sphere formerly switch because drawer cosmetically fetch worth a acid antarctica. ruddy, aromatic rowboat

    CyprusCyprus5 kun oldin
  • In pog

    SonsonSonson5 kun oldin
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