The Infinite Pattern That Never Repeats

2020 Бич 30-нд
10 258 938 Үзсэн тоо

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 MNred)
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

Сэтгэгдлүүд
  • 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 сарын өмнө
    • husejn179husejn1798 өдрийн өмнө
    • It never repeats but the universe itself clearly does. Ok.

      Yodas Raytraced Retro StudiosYodas Raytraced Retro Studios9 өдрийн өмнө
    • That’s nice

      Itz_ClixzyItz_Clixzy12 өдрийн өмнө
    • Wait, the astronasts select by Skill where also 1.6! It all has a pattern, but has actually Not🥴

      Big SmokeBig Smoke14 өдрийн өмнө
    • 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 Hartmann16 өдрийн өмнө
  • 9:34 good lord man, keep it in your pants

    PowerMadPowerMad46 минутын өмнө
  • I though he was about to say "this video is sponsored by VPN"

    Angela OliveAngela OliveЦагийн өмнө
  • veritasium, giving people existential crises since 2011

    Andrew RoddAndrew Rodd2 цагийн өмнө
  • Whether you believe in God or not. He is the architect of all things. How else could this happen. Not by random disorder to order. There is an intelligent designer the created the universe. The sooner you accept it and give Him credit for what He created, the more He will peel back the secrets and the mysteries for your understanding,

    Garritt DuBoisGarritt DuBois7 цагийн өмнө
  • Randomness will repeat didn't you watch a beautiful mind?

    Jason CunninghamJason Cunningham8 цагийн өмнө
  • Prague is my favorite european city too.

    Michael DavisMichael Davis9 цагийн өмнө
  • This whole video is wrong I restarted it twice and the patter was the same both times

    JappyChanJappyChan11 цагийн өмнө
  • yawn

    Tiny DragonTiny Dragon12 цагийн өмнө
  • "It's few-tile"

    Jackson WalkerJackson Walker16 цагийн өмнө
  • Bruhh I can see here from my screen the pattern repeating itself lmaoooo 💀

    AJ MenezAJ Menez17 цагийн өмнө
  • Even the length of your video is symmetrical 21:12

    Timo ThaeusTimo Thaeus17 цагийн өмнө
  • Jesus man you are really blowing my mind. I love your videos and thank you for your dedication in your work. I really mean it.

    Merhawi TesfayeMerhawi Tesfaye19 цагийн өмнө
  • I wanna see it folded over on itself.

    TesserIdTesserId19 цагийн өмнө
  • hexagons are the bestagons

    Leo HaukipuroLeo Haukipuro19 цагийн өмнө
  • Yay random number generator!

    Numero7 MojeangeringNumero7 Mojeangering21 цагийн өмнө
  • I feel like you can use this to make a deterministic machine run a non deterministic algorithm. Maybe you can even derive a non-deterministic algorithm from this.

    AnteConfigAnteConfig22 цагийн өмнө
  • Kdo je tady Čech? ;)

    Tomáš HravěTomáš Hravě23 цагийн өмнө
  • Robert Burger??? I wish that was my surname

    Milyu VarionMilyu VarionӨдрийн өмнө
  • I would have thought that a pattern that doesn't repeat really isn't a pattern at all, but rather a progression, like the value of pi. I think it is obvious that such progressions can present the illusion of a pattern. The human brain is evolved to look for patterns in practically everything. Often, people think they see patterns where none actually exist, the same way they think they see faces in things, like the face of Jesus in a piece of burnt toast.

    Bill392Bill392Өдрийн өмнө
  • we're handling them on 2 dimension only. but when it comes to the higher dimension, everything can be possible in pattern.

    Sky KeeperSky KeeperӨдрийн өмнө
  • Sounds like Pi.

    SerunaXISerunaXIӨдрийн өмнө
  • I dunno, this Kepler fellow sounds kinda hexxed.

    SerunaXISerunaXIӨдрийн өмнө
  • “1969” nice

    Yadie54Yadie54Өдрийн өмнө
  • So, if any section of any Kites and Darts pattern can be matched to a section of a different one, how do we know that all the patterns of kites and darts are actually different patters? You said that the only way to tell the patterns apart would be to look at the entire pattern, which is physically impossible, so if we have no way to prove that the patterns are different, how do we know they are different?

    Holiest RavioliHoliest RavioliӨдрийн өмнө
  • are you sure it never repeats i can see a hell of a lot of half and full cycles with in it

    tigertank909tigertank909Өдрийн өмнө
  • i become smarter from each video im watching

    VicVanProphetVicVanProphetӨдрийн өмнө
  • I rarely understand even half of what he says even though he is a pretty good teacher.

    I'm batmanI'm batmanӨдрийн өмнө
  • And now guys you know why in ancient Greece entire philisophies and cults were created based on geometry and math

    AlecAlecӨдрийн өмнө
  • ads every 3 minutes, youtube has become a greedy bastard

    jan vandeveldejan vandeveldeӨдрийн өмнө
  • 0:30 that lady at the door is like "wtf is going on here" lol

    Marius BraunMarius BraunӨдрийн өмнө
  • Hey the bigger pattern around 9:50 Forms Cubes stacked next to each other. How cool is that? I find that realy cool. A micropattern that mostly 'repeats' until the borders of the Macropattern.

    TechiTechiӨдрийн өмнө
  • Sorry dude. You lost me when you thought it was cool to walk into a European museum wearing shorts and a t-shirt with a commercial slogan on the front. You forgot your baseball cap and great big American flag.

    Daniel GrayDaniel GrayӨдрийн өмнө
  • This channel and thus man is very inspiring

    Stephan CallonStephan CallonӨдрийн өмнө
  • my mind is effectively blown

    Elif Göksu AlgınElif Göksu AlgınӨдрийн өмнө
  • Bruh

    「CELLO KID」「CELLO KID」2 өдрийн өмнө
  • Go to 9:34. Mind blown!!!!

    Frances McCollumFrances McCollum2 өдрийн өмнө
  • math is weird...

    Coolcoolguy65Coolcoolguy652 өдрийн өмнө
  • I get why he has so much subscribers

    Mr. HanMr. Han2 өдрийн өмнө
  • thumb down for commercial every 3 minutes

    grodt88grodt882 өдрийн өмнө
  • What am I missing all the tiles look the same to me, he says they don't repeat and clearly they do.

    MS ArchiveMS Archive2 өдрийн өмнө
  • So that's how to pronounce moire.

    Poppy PalaisPoppy Palais2 өдрийн өмнө
  • Man looking at this amazing video and all the stuff about fibonacci sequence just makes me want to listen to Lateralus.

    PropozitorPropozitor2 өдрийн өмнө
  • So the greatest randomness van exist from 50""50""

    marcello roosmarcello roos2 өдрийн өмнө
  • brb re-tiling my bathroom

    Allen WilliamsonAllen Williamson2 өдрийн өмнө
  • 16:15 you lost me there. I thought this was supposed to work any way possible

    remconetremconet2 өдрийн өмнө
  • 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

    AnymAnym2 өдрийн өмнө
  • 0:51 They're the barriers that get put up around you when you get friend-zoned by someone.

    Victor HuffVictor Huff2 өдрийн өмнө
  • Wait...isn't a pattern supposed to repeat by definition of what makes a pattern?

    Victor HuffVictor Huff2 өдрийн өмнө
  • Allow me to state the (painfully!) obvious: You have an extraordinary mind! Love the videos; thank you.

    ian1856ian18562 өдрийн өмнө
  • 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!

    IncapableLPIncapableLP3 өдрийн өмнө
  • NOT INTRESTED MNred get this outta ma face

    Drago DonDrago Don3 өдрийн өмнө
  • my bwain hurts qwq

    petfroggy dbmpetfroggy dbm3 өдрийн өмнө
  • 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 Mettler3 өдрийн өмнө
  • Haha I was just watching Tom Scott's video about paid promotions he was spot on

    TerryTwoToesTerryTwoToes3 өдрийн өмнө
  • this is scary

    ΩΜΣGΛΩΜΣGΛ3 өдрийн өмнө
  • how boring, about to change position of track in 5, 4 , 3 .....

    Modulo AlgoritmoModulo Algoritmo3 өдрийн өмнө
  • Where did you get the two transparent sheets that you used to make the moire pattern?

    Marc ScillieriMarc Scillieri3 өдрийн өмнө
  • @1:31 DnD dice

    Eric RoschuniEric Roschuni3 өдрийн өмнө
  • holy life metaphor... god, its got me wanting to trip xD

    Emma FissingerEmma Fissinger3 өдрийн өмнө
    • Always respect psychedelics.

      Distran The Gloriously DeformedDistran The Gloriously Deformed2 өдрийн өмнө
  • The perfect 20-minute Discovery channel time-killer episode.

    LolechiLolechi3 өдрийн өмнө
  • toooooooooooooo many ads 🤢

    shahab shafieeshahab shafiee3 өдрийн өмнө
  • "A portion" of the video was sponsored by LastPass?? First time I've ever heard that

    Mati NMati N3 өдрийн өмнө
  • 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 Grove3 өдрийн өмнө
  • 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.

    scalorscalor4 өдрийн өмнө
  • My monkey brain understood like 0.000000001% but I love it!

    James RonJames Ron4 өдрийн өмнө
  • Music name 2:00??

    teka loves youteka loves you4 өдрийн өмнө
  • This video is impressively well made

    Bum pomBum pom4 өдрийн өмнө
  • 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 B4 өдрийн өмнө
  • 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.

    bubblegumraybubblegumray4 өдрийн өмнө
  • Where can we buy thoses puzzles?

    heemin leeheemin lee4 өдрийн өмнө
  • Didnt understand 3/4 of what he said but ok.

    GrozaGroza5 өдрийн өмнө
  • I've never even heard of this but I'm extremely interested

    [content deleted][content deleted]5 өдрийн өмнө
  • UwU

    RILEY BENTONRILEY BENTON5 өдрийн өмнө
  • I mean, do you like weed?

    Alcreate.plAlcreate.pl5 өдрийн өмнө
  • 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 X5 өдрийн өмнө
  • why did i smoke weed before this

    Owen KeelingOwen Keeling5 өдрийн өмнө
  • Pffft those are hexagons

    Me.Me.5 өдрийн өмнө
  • Wow!

    Avatar XAvatar X5 өдрийн өмнө
  • if it never repeats then it isn't a pattern...

    Dieseluk2kDieseluk2k5 өдрийн өмнө
  • hexagon are the bestagon

    Juan Miguel VerzosaJuan Miguel Verzosa6 өдрийн өмнө
  • could you make a 3D Aperiodic puzzle of a pyramid?

    Different 1Different 16 өдрийн өмнө
  • Watch pentagon is the best a gone

    David ShakespeareDavid Shakespeare6 өдрийн өмнө
  • We were always wondering what the 4th dimension looked like, well here's the 5th

    Calvin WeberCalvin Weber6 өдрийн өмнө
  • ILLUMINATI CONFIRMED

    Zoltán PappZoltán Papp6 өдрийн өмнө
  • 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 Night6 өдрийн өмнө
  • watch this before bed because its satisfying

    Statue Of LibertyStatue Of Liberty6 өдрийн өмнө
  • I kind of hate all of this.

    Amy TurnerAmy Turner7 өдрийн өмнө
  • 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

    60FPS60FPS7 өдрийн өмнө
  • I want to see someone make this pattern in Minecraft.

    Nameless DreadNameless Dread7 өдрийн өмнө
  • Can this pattern be used for encryption

    Lakers4LifeLakers4Life7 өдрийн өмнө
  • Confusing ass title

    Heated TurtleHeated Turtle7 өдрийн өмнө
  • Is it even a pattern then?

    KOMOKOMO7 өдрийн өмнө
  • Mind. Blown.

    Tamim AzizadahTamim Azizadah7 өдрийн өмнө
  • 12:18 what if one shapes was different and the person to find it would get something.

    Jack BrutonJack Bruton7 өдрийн өмнө
  • Could the tiling be used in encryption?

    Douglas CollinsDouglas Collins7 өдрийн өмнө
  • The luxuriant roast acly unpack because twilight cumulatively drum into a handsomely novel. automatic, rotten christmas

    jonki leshijonki leshi7 өдрийн өмнө
  • it does repeat

    Kyra _Kyra _8 өдрийн өмнө
  • This video is an example of people who have waaaaay too much time on their hands.

    1 11 18 өдрийн өмнө
  • Fascinating ! Even for a complete non-matematician as me...

    Michel P. VanwelkenhuyzenMichel P. Vanwelkenhuyzen8 өдрийн өмнө
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