The Infinite Pattern That Never Repeats

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 ALthe)
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

Komente

  • Veritasium
    Veritasium6 muaj më parë

    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”

  • husejn179

    husejn179

    9 ditë më parë

  • Yodas Raytraced Retro Studios

    Yodas Raytraced Retro Studios

    10 ditë më parë

    It never repeats but the universe itself clearly does. Ok.

  • Itz_Clixzy

    Itz_Clixzy

    13 ditë më parë

    That’s nice

  • Big Smoke

    Big Smoke

    15 ditë më parë

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

  • Shawn Hartmann

    Shawn Hartmann

    17 ditë më parë

    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.........

  • Saul Robertson
    Saul RobertsonOrë më parë

    Roger Penrose is just in a class of his own. There are no limits to my respect and admiration for that guy. Unpopular opinion: his protege, Stephen Hawking, however.. man, how that apple fell far from the tree. Such a predictable, pedestrian thinker. Penrose: “I don’t believe that consciousness is a computation. In fact it may well be fundamental to nature in some as yet inscrutable fashion” Hawking: “The human race is nothing but a chemical scum on an unimportant rocky planet orbiting an average star” How come Penrose is so full of awe and reverence, while Hawking was so jaded and cynical 🤨

  • Reddy Kilowatt
    Reddy Kilowatt2 orë më parë

    Stretching my old brain are we? :-) Thanks.

  • Paul Nachname
    Paul Nachname2 orë më parë

    Darling, why is our bathroom so big? - I had to put the infinite Penrose Tiling somewhere! Great and enlightening video, as always.

  • Alex Walker vlogs
    Alex Walker vlogs4 orë më parë

    I am confused

  • Lev Skywood
    Lev Skywood5 orë më parë

    2:00 The music made me feel like this is an SCP illustrated video. I approve

  • fubar totale
    fubar totale6 orë më parë

    M.C.Escher

  • Zaylan Seals
    Zaylan Seals9 orë më parë

    I’m ttr go r

  • Joshua Roughan
    Joshua Roughan14 orë më parë

    “When the bitrate hits your eye, because it’s fallen from the sky..........it’s a moiree”

  • pulesjet
    pulesjet16 orë më parë

    PI ?

  • chiba
    chiba16 orë më parë

    having a service that is used by scammers a lot as your sponser... nice going bro

  • PowerMad
    PowerMad20 orë më parë

    9:34 good lord man, keep it in your pants

  • Angela Olive
    Angela Olive21 orë më parë

    I though he was about to say "this video is sponsored by VPN"

  • Andrew Rodd
    Andrew Rodd22 orë më parë

    veritasium, giving people existential crises since 2011

  • Garritt DuBois
    Garritt DuBoisDitë më parë

    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,

  • Jason Cunningham
    Jason CunninghamDitë më parë

    Randomness will repeat didn't you watch a beautiful mind?

  • Michael Davis
    Michael DavisDitë më parë

    Prague is my favorite european city too.

  • JappyChan
    JappyChanDitë më parë

    This whole video is wrong I restarted it twice and the patter was the same both times

  • Tiny Dragon
    Tiny DragonDitë më parë

    yawn

  • Jackson Walker
    Jackson WalkerDitë më parë

    "It's few-tile"

  • AJ Menez
    AJ MenezDitë më parë

    Bruhh I can see here from my screen the pattern repeating itself lmaoooo 💀

  • Timo Thaeus
    Timo ThaeusDitë më parë

    Even the length of your video is symmetrical 21:12

  • Merhawi Tesfaye
    Merhawi TesfayeDitë më parë

    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.

  • TesserId
    TesserIdDitë më parë

    I wanna see it folded over on itself.

  • Leo Haukipuro
    Leo HaukipuroDitë më parë

    hexagons are the bestagons

  • Numero7 Mojeangering
    Numero7 MojeangeringDitë më parë

    Yay random number generator!

  • AnteConfig
    AnteConfigDitë më parë

    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.

  • Tomáš Hravě
    Tomáš HravěDitë më parë

    Kdo je tady Čech? ;)

  • Milyu Varion
    Milyu Varion2 ditë më parë

    Robert Burger??? I wish that was my surname

  • Bill392
    Bill3922 ditë më parë

    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.

  • Sky Keeper
    Sky Keeper2 ditë më parë

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

  • SerunaXI
    SerunaXI2 ditë më parë

    Sounds like Pi.

  • SerunaXI
    SerunaXI2 ditë më parë

    I dunno, this Kepler fellow sounds kinda hexxed.

  • Yadie54
    Yadie542 ditë më parë

    “1969” nice

  • Holiest Ravioli
    Holiest Ravioli2 ditë më parë

    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?

  • tigertank909
    tigertank9092 ditë më parë

    are you sure it never repeats i can see a hell of a lot of half and full cycles with in it

  • VicVanProphet
    VicVanProphet2 ditë më parë

    i become smarter from each video im watching

  • I'm batman
    I'm batman2 ditë më parë

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

  • Alec
    Alec2 ditë më parë

    And now guys you know why in ancient Greece entire philisophies and cults were created based on geometry and math

  • jan vandevelde
    jan vandevelde2 ditë më parë

    ads every 3 minutes, youtube has become a greedy bastard

  • Marius Braun
    Marius Braun2 ditë më parë

    0:30 that lady at the door is like "wtf is going on here" lol

  • Techi
    Techi2 ditë më parë

    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.

  • Daniel Gray
    Daniel Gray2 ditë më parë

    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.

  • Stephan Callon
    Stephan Callon2 ditë më parë

    This channel and thus man is very inspiring

  • Elif Göksu Algın
    Elif Göksu Algın2 ditë më parë

    my mind is effectively blown

  • 「CELLO KID」
    「CELLO KID」2 ditë më parë

    Bruh

  • Frances McCollum
    Frances McCollum2 ditë më parë

    Go to 9:34. Mind blown!!!!

  • Coolcoolguy65
    Coolcoolguy653 ditë më parë

    math is weird...

  • Mr. Han
    Mr. Han3 ditë më parë

    I get why he has so much subscribers

  • grodt88
    grodt883 ditë më parë

    thumb down for commercial every 3 minutes

  • MS Archive
    MS Archive3 ditë më parë

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

  • Poppy Palais
    Poppy Palais3 ditë më parë

    So that's how to pronounce moire.

  • Propozitor
    Propozitor3 ditë më parë

    Man looking at this amazing video and all the stuff about fibonacci sequence just makes me want to listen to Lateralus.

  • marcello roos
    marcello roos3 ditë më parë

    So the greatest randomness van exist from 50""50""

  • Allen Williamson
    Allen Williamson3 ditë më parë

    brb re-tiling my bathroom

  • remconet
    remconet3 ditë më parë

    16:15 you lost me there. I thought this was supposed to work any way possible

  • Anym
    Anym3 ditë më parë

    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

  • Victor Huff
    Victor Huff3 ditë më parë

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

  • Victor Huff
    Victor Huff3 ditë më parë

    Wait...isn't a pattern supposed to repeat by definition of what makes a pattern?

  • ian1856
    ian18563 ditë më parë

    Allow me to state the (painfully!) obvious: You have an extraordinary mind! Love the videos; thank you.

  • IncapableLP
    IncapableLP3 ditë më parë

    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!

  • Drago Don
    Drago Don3 ditë më parë

    NOT INTRESTED ALthe get this outta ma face

  • petfroggy dbm
    petfroggy dbm4 ditë më parë

    my bwain hurts qwq

  • Jeremy Mettler
    Jeremy Mettler4 ditë më parë

    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

  • TerryTwoToes
    TerryTwoToes4 ditë më parë

    Haha I was just watching Tom Scott's video about paid promotions he was spot on

  • ΩΜΣGΛ
    ΩΜΣGΛ4 ditë më parë

    this is scary

  • Modulo Algoritmo
    Modulo Algoritmo4 ditë më parë

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

  • Marc Scillieri
    Marc Scillieri4 ditë më parë

    Where did you get the two transparent sheets that you used to make the moire pattern?

  • Eric Roschuni
    Eric Roschuni4 ditë më parë

    @1:31 DnD dice

  • Emma Fissinger
    Emma Fissinger4 ditë më parë

    holy life metaphor... god, its got me wanting to trip xD

  • Distran The Gloriously Deformed

    Distran The Gloriously Deformed

    3 ditë më parë

    Always respect psychedelics.

  • Lolechi
    Lolechi4 ditë më parë

    The perfect 20-minute Discovery channel time-killer episode.

  • shahab shafiee
    shahab shafiee4 ditë më parë

    toooooooooooooo many ads 🤢

  • Mati N
    Mati N4 ditë më parë

    "A portion" of the video was sponsored by LastPass?? First time I've ever heard that

  • Christopher Grove
    Christopher Grove4 ditë më parë

    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.

  • scalor
    scalor5 ditë më parë

    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.

  • James Ron
    James Ron5 ditë më parë

    My monkey brain understood like 0.000000001% but I love it!

  • teka loves you
    teka loves you5 ditë më parë

    Music name 2:00??

  • Bum pom
    Bum pom5 ditë më parë

    This video is impressively well made

  • Yahya B
    Yahya B5 ditë më parë

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

  • bubblegumray
    bubblegumray5 ditë më parë

    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.

  • heemin lee
    heemin lee5 ditë më parë

    Where can we buy thoses puzzles?

  • Groza
    Groza6 ditë më parë

    Didnt understand 3/4 of what he said but ok.

  • [content deleted]
    [content deleted]6 ditë më parë

    I've never even heard of this but I'm extremely interested

  • RILEY BENTON
    RILEY BENTON6 ditë më parë

    UwU

  • Alcreate.pl
    Alcreate.pl6 ditë më parë

    I mean, do you like weed?

  • Mensa X
    Mensa X6 ditë më parë

    If we had the chance to learn topics like we see in these videos in school, I would of payed a lot more attention

  • Owen Keeling
    Owen Keeling6 ditë më parë

    why did i smoke weed before this

  • Me.
    Me.6 ditë më parë

    Pffft those are hexagons

  • Avatar X
    Avatar X6 ditë më parë

    Wow!

  • Dieseluk2k
    Dieseluk2k6 ditë më parë

    if it never repeats then it isn't a pattern...

  • Juan Miguel Verzosa
    Juan Miguel Verzosa6 ditë më parë

    hexagon are the bestagon

  • Different 1
    Different 17 ditë më parë

    could you make a 3D Aperiodic puzzle of a pyramid?

  • David Shakespeare
    David Shakespeare7 ditë më parë

    Watch pentagon is the best a gone

  • Calvin Weber
    Calvin Weber7 ditë më parë

    We were always wondering what the 4th dimension looked like, well here's the 5th

  • Zoltán Papp
    Zoltán Papp7 ditë më parë

    ILLUMINATI CONFIRMED

  • The Funny TV Man of the Night
    The Funny TV Man of the Night7 ditë më parë

    I went to Prog and Pink Floyd wasn’t there and neither were any talking goats 0/10

  • Statue Of Liberty
    Statue Of Liberty7 ditë më parë

    watch this before bed because its satisfying

  • Amy Turner
    Amy Turner8 ditë më parë

    I kind of hate all of this.

  • 60FPS
    60FPS8 ditë më parë

    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

  • Nameless Dread
    Nameless Dread8 ditë më parë

    I want to see someone make this pattern in Minecraft.

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