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  • Domů
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  • Populární na CSsun
    • Krátké a kreslené filmy
    • Auta a dopravní prostředky
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Domů The Infinite Pattern That Never Repeats
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  • Před 3 měsíci

The Infinite Pattern That Never Repeats

  • zhlédnutí 8,801,110
Veritasium
  • 87 033 978

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: 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 CSsun)
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

Stažení

Komentáře

  • Veritasium
    Veritasium
    Před 3 měsíci
    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”
  • Fudge A Tron Gaming
    Fudge A Tron Gaming
    Před 2 dny
    Wtf does that mean
  • Totally a Grumman F-14 Tomcat
    Totally a Grumman F-14 Tomcat
    Před 4 dny
    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.
  • JanPBtest
    JanPBtest
    Před 5 dny
    @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.
  • Bazza The Great
    Bazza The Great
    Před 5 dny
    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.
  • Daniel Komárek
    Daniel Komárek
    Před 5 dny
    I am from Czech republic 👌
  • Neil Stansbury
    Neil Stansbury
    Před 8 minutami
    This has to be one of the most fascinating videos I've ever watched on CSsun!
  • blang shimuru
    blang shimuru
    Před 2 hodinami
    I'm speechless
  • OMERECKER _3250
    OMERECKER _3250
    Před 7 hodinami
    Progers
  • Jackson Cook
    Jackson Cook
    Před 9 hodinami
    I had never heard of this before, and its amazing
  • animator blueberry sans
    animator blueberry sans
    Před 11 hodinami
    1:24 no one: me, a DnD player: did you mean D4, D6, D8, D12 and D20 anyway-
  • NorthSoulStar
    NorthSoulStar
    Před 14 hodinami
    Mind blown! I love this stuff
  • Eli Haslage
    Eli Haslage
    Před dnem
    Dear Kepler, Snowflakes are that way because hexagons are bestagons. - CGP Grey, probably
  • Tylorean
    Tylorean
    Před dnem
    Where can i buy the red, green and blue things?
  • Tushar Moitra
    Tushar Moitra
    Před dnem
    THIS IS DISTURBINGGGGG!!!! 😂😂😂
  • zeitbloms
    zeitbloms
    Před dnem
    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?
  • Rich Buddy
    Rich Buddy
    Před dnem
    kind of like block chain tech
  • Julian Garcia
    Julian Garcia
    Před dnem
    I swear we all learn more in CSsun than school.
  • Dr .Foster
    Dr .Foster
    Před dnem
    Work with V sauce?
  • Veronika Zoselova
    Veronika Zoselova
    Před dnem
    Me from czech republic : :OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
  • Blas Felip Himmelreich
    Blas Felip Himmelreich
    Před dnem
    You sure it doesnt repeat? I think people are quite simply too lazy to check
  • Ashley the_gacha simp
    Ashley the_gacha simp
    Před dnem
    MAH DUDE WEAR A MASK
  • Kaitlyn Cunningham
    Kaitlyn Cunningham
    Před dnem
    Uhm.... I see a repeat in the thumbnail?
  • Ian Foo
    Ian Foo
    Před dnem
    My Girlfriend: buy some thing to eat Me :
  • Kurt Punzalan
    Kurt Punzalan
    Před dnem
    “Why always six?” Cgp Grey:because hexagons are the bestagons
  • Kerns Noel
    Kerns Noel
    Před dnem
    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.
  • Walter Moore
    Walter Moore
    Před dnem
    The special albatross morphometrically trace because list histologically knit anenst a acidic soldier. disgusted, plastic purpose
  • Hydr0Waves
    Hydr0Waves
    Před dnem
    i don't know what tf they're talking about.
  • Troveion
    Troveion
    Před dnem
    I've learned so much but nothing at the same time
  • Keeva Grace
    Keeva Grace
    Před dnem
    Poggers for God
  • kirby is a Christian man
    kirby is a Christian man
    Před dnem
    I saw it repeat twice already
  • Black Board
    Black Board
    Před dnem
    Excuse me
  • America just keeps getting greater!
    America just keeps getting greater!
    Před 2 dny
    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!)
  • ksmoker27
    ksmoker27
    Před 2 dny
    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!"
  • levirann
    levirann
    Před 2 dny
    I'm dizzy
  • Ignored
    Ignored
    Před 2 dny
    My eyes hurt
  • NJ_ 16
    NJ_ 16
    Před 2 dny
    If it’s a “pattern” that doesn’t repeat, is it even a pattern?😂
  • Prime
    Prime
    Před 2 dny
    My mind is completely blown
  • David Plenderleith
    David Plenderleith
    Před 2 dny
    Snap!
  • C G
    C G
    Před 2 dny
    Your comment at 19:43 encourages me to look closer at the Bible for physical, social and economic applications. Thanks.
  • True dragon Slayer
    True dragon Slayer
    Před 2 dny
    Fun art fact: this wouldn't be a pattern this would be call a rhythm
  • A_Aleta Jr. Glenn Cliff
    A_Aleta Jr. Glenn Cliff
    Před 2 dny
    i have never been so confused
  • Ho6Xc5
    Ho6Xc5
    Před 2 dny
    after watching this video before sleep, i had a nightmare.
  • Jophiel Philanna Deusvult
    Jophiel Philanna Deusvult
    Před 2 dny
    How did I go from minecraft trolling to this anyways-
  • Night Owl
    Night Owl
    Před 2 dny
    11:48 "It's futile" Nice Pun
  • Dejv 300
    Dejv 300
    Před 2 dny
    Prague hmmm it is something I know but wait. Oh wait nvm it's main city of country I live in aka Czech republic. 😂
  • XxshautyxX
    XxshautyxX
    Před 2 dny
    Me:doesn’t understand 50% of the words Still me:understand everything
  • Vincent C. Dicayanan
    Vincent C. Dicayanan
    Před 2 dny
    The most confusing game of Puzzle
  • Haziq Baik
    Haziq Baik
    Před 2 dny
    prog
  • Jahred Galanza
    Jahred Galanza
    Před 2 dny
    11:51 *Korega Requiem Da*
  • Jahred Galanza
    Jahred Galanza
    Před 2 dny
    Yes
  • Andrew Whisenand
    Andrew Whisenand
    Před 2 dny
    Jealous of that Celestron CGX in the background
  • berngirl 56
    berngirl 56
    Před 2 dny
    This looks like something quilters could work out. LOL
  • Jim Hoff
    Jim Hoff
    Před 2 dny
    is that Juneau, AK at 2:55?
  • Aidenlol bonzanto
    Aidenlol bonzanto
    Před 2 dny
    should i sub?
  • wonderful bees
    wonderful bees
    Před 2 dny
    no politician should be able to run for an office, unless they can memorize this talk-- ha ha -- no more politicians
  • wonderful bees
    wonderful bees
    Před 2 dny
    too bad i have no clue what this is about, yet strangely interesting
  • Lazy Tuber
    Lazy Tuber
    Před 2 dny
    Learned something
  • Areyouthick
    Areyouthick
    Před 3 dny
    I understood most, and honestly it’s so beautiful. I love this kind of geometric mathematics. I’ve heard about phi before and I read a lot about the Fibonacci sequence and about the golden ratio in a book called “The golden ratio”. I loved this video and you have earned a sub!
  • Rook Kolm
    Rook Kolm
    Před 3 dny
    Its so pretty
  • Master ofDeasater
    Master ofDeasater
    Před 3 dny
    isn`t the circle a platonic solid as well?
  • Y D
    Y D
    Před 3 dny
    1:30 so dnd dice
  • Adelaide Watts
    Adelaide Watts
    Před 3 dny
    9:43 the sound of pure glee
  • Daymian Gamer
    Daymian Gamer
    Před 3 dny
    thank you Veratasium, very cool
  • Casual Player
    Casual Player
    Před 3 dny
    What my parents think when I’m on CSsun: he’s just watching silly videos What I really watch:
  • Roxanne Little
    Roxanne Little
    Před 3 dny
    The instinctive brake assembly empty because tuba approximately perform afore a lazy stinger. impossible, flippant motorboat
  • AbdulRazaak Petersen
    AbdulRazaak Petersen
    Před 3 dny
    You know what? I actually understand all this
  • Vyldim
    Vyldim
    Před 3 dny
    Thanks recommended
  • PuryYT 5847
    PuryYT 5847
    Před 3 dny
    This is like mark robert but you didnt make anything just expalining stuff lol. But still this is so interesting
  • Meaty Tofu
    Meaty Tofu
    Před 3 dny
    This is like a conspiracy video on geometry.
  • ganondorfchampin
    ganondorfchampin
    Před 3 dny
    I have an uncle who is a crystollogist. I still have no idea what those spectral diagrams mean though.
  • MN ZEN
    MN ZEN
    Před 3 dny
    The loutish honey minimally pass because kilometer coincidingly scatter through a assorted custard. poised, trite breakfast
  • Rhiyanna C
    Rhiyanna C
    Před 3 dny
    Why aren’t my classes like this, this is actually interesting especially the way this guy explains it, it make me actually interested in the subject while my teacher explains things in gibberish
  • Eavy Eavy
    Eavy Eavy
    Před 3 dny
    "hexagon best tagons"
  • MikeRosoftJH
    MikeRosoftJH
    Před 3 dny
    Does that mean that hexaflexagons are bestaflexagons?
  • Hannah Lin
    Hannah Lin
    Před 3 dny
    brain hurts - will probably loose sleep off this
  • shrek
    shrek
    Před 3 dny
    I think I have brain cells now
  • Combine Core
    Combine Core
    Před 3 dny
    Shame it repeats
  • ceiling gang
    ceiling gang
    Před 3 dny
    You can EASILY find the repeating parts. Especially in the title
  • Leyren
    Leyren
    Před 2 dny
    No you don't. It's not about two little areas being the same, but that at some point the entire sequence repeats. Which it doesn't. Just like the number Pi has an infinite number of digits after the comma, and sequences like "1234" will occur multiple times, but it will never repeat.
  • Josh V
    Josh V
    Před 3 dny
    Hexagon is the bestagon
  • JackDoesGaming
    JackDoesGaming
    Před 4 dny
    I think that my brain cells have both melted and multiplied by watching this
  • Kaif Iqbal
    Kaif Iqbal
    Před 4 dny
    Golden ratio....so your telling me the secret to spin WAS IN A LITERAL PINROSE PATTERN
  • Shayaan Morshed
    Shayaan Morshed
    Před 4 dny
    If the tiles don't repeat, then they don't form a pattern, right?
  • MikeRosoftJH
    MikeRosoftJH
    Před 3 dny
    That depends. Consider for example the number 0.12345678901234567890... - this is a number whose decimal expansion is periodic, and so it's rational (it's equal to 1234567890/9999999999). But obviously it doesn't contain all sequences of digits; for example, it doesn't contain the sequence 22. On the other hand consider the number obtained by concatenating all natural numbers: 0.1234567891011121314... . This is an irrational number; its decimal expansion isn't periodic. On the other hand there's an obvious pattern to it, and it has the following property: every finite fragment of it (and indeed any finite sequence of digits) eventually repeats (and so it follows that it repeats infinitely many times - but it cannot repeat periodically). What the video is saying is that the pattern is like the number 0.1234567891011121314..., not like 0.12345678901234567890... There is no finite fragment of the pattern such that the pattern consists of that pattern repeated indefinitely. On the other hand, given any finite fragment of the pattern, this fragment does appear elsewhere in the pattern, infinitely many times.
  • JustPas1ngBy
    JustPas1ngBy
    Před 4 dny
    Me From czech republic- oh interesting
  • Aahza Akmal
    Aahza Akmal
    Před 4 dny
    I'm 10 and I liked this
  • Aahza Akmal
    Aahza Akmal
    Před 4 dny
    hi
  • Trailers for Dreamers
    Trailers for Dreamers
    Před 4 dny
    hexagons are the bestagons
  • Sovi3tBoy
    Sovi3tBoy
    Před 4 dny
    1:58 omg i feel like im watching scp illustrated
  • Glitter flitter
    Glitter flitter
    Před 4 dny
    Why no mask?
  • Bethany Mitchell
    Bethany Mitchell
    Před 4 dny
    The disillusioned jail substantively mourn because reminder oppositely bruise aboard a cooperative minute. lush, quack hobbies
  • Chetan Soun
    Chetan Soun
    Před 4 dny
    So panch tatva in Hinduism is real according to science.
  • Diane Reid
    Diane Reid
    Před 4 dny
    The vengeful crown minimally please because actress exclusively raise below a dynamic fortnight. uncovered, clumsy peer-to-peer
  • Alex Nisa
    Alex Nisa
    Před 4 dny
    will i ever understand this? absolutely not. will i continue to revisit this video as the years go by? of course.
  • mwells219
    mwells219
    Před 4 dny
    If it doesn't repeat then it's not a pattern.
  • Chasae
    Chasae
    Před 4 dny
    What
  • JCSViperion
    JCSViperion
    Před 4 dny
    The video that hooked me on Veritasium 🙂
  • Rey Tianero
    Rey Tianero
    Před 4 dny
    I really love your speaking pace and style, very engaging.
  • Abdalrahman Irraies
    Abdalrahman Irraies
    Před 4 dny
    i have been braining so hard my think hurts
  • Amanda Slocomb
    Amanda Slocomb
    Před 4 dny
    Anyone else remember those little wooden shapes that were used in elementary school? I used to try to make perfect tilings of those little shapes and I swear that I used to take the fat rhombus and the thin rhombus and make those little patterns all over my desk. I never knew that 7-8 year old me was apparently making penrose patterns for fun, I just wanted to make perfect little patterns out of every wooden shape, no matter how hard it was
  • Rick Roll
    Rick Roll
    Před 4 dny
    Why does this looks like a 8 year old video even tho it’s like 3 months old
  • Random Izer
    Random Izer
    Před 4 dny
    Illuminati confirmed
  • RayRay 2021
    RayRay 2021
    Před 3 dny
    actually, it is nature confirmed.
  • Darko
    Darko
    Před 4 dny
    can u do my math for me
  • Leo
    Leo
    Před 4 dny
    Math Teacher: the test isnt hard. The test: 0:01
  • YuYu’s Property
    YuYu’s Property
    Před 4 dny
    Another segment I call “I could have lived peacefully without knowing this and always thinking about it”.
  • Aramus Day
    Aramus Day
    Před 4 dny
    Bro it's not a pattern of it doesn't repeat
  • Link_the_pro
    Link_the_pro
    Před 4 dny
    That means it’s not a pattern then a pattern repeated it’s self

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