The Infinite Pattern That Never Repeats

공유
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  • 게시일 2024. 04. 23.
  • 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 KRplus)
    Animations by Ivy 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

댓글 • 24K

  • @veritasium
    @veritasium  3 년 전 +15105

    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”

  • @owen9510
    @owen9510 3 년 전 +10794

    “Wang’s Conjecture was false.”
    Me, through a mouthful of chips, not understanding a word of this: “Haha, what a loser.”

    • @victordlonsod9382
      @victordlonsod9382 3 년 전 +251

      HAHAHAHAHAHAHA

    • @8474Mikhail
      @8474Mikhail 3 년 전 +79

      hahahahha

    • @robmc120
      @robmc120 3 년 전 +334

      "He forgot to incorporate gravity, i was wondering why he didnt do that" ~Brian Regan with bag of Cheetos

    • @t0astface
      @t0astface 3 년 전 +82

      This made me laugh out loud a lot 🙌🏽

    • @1battlemedic622
      @1battlemedic622 3 년 전 +21

      You no mess with Lo Wang

  • @shotatoriumi129
    @shotatoriumi129 3 년 전 +4258

    Me: Gives this pattern to the guy tiling my kitchen
    Tile guy: Sweats profusely

    • @ufotv-viral
      @ufotv-viral 3 년 전 +11

      👽👍

    • @nemo4555
      @nemo4555 3 년 전 +388

      Worst yet would hear him say: "Alright, I'm done"
      ...and he just created a singularity in you kitchen

    • @speakstheobvious5769
      @speakstheobvious5769 3 년 전 +116

      His brain divides by zero.

    • @immortal3018
      @immortal3018 3 년 전 +1

      I saw this comment already!

    • @radnukespeoplesminds
      @radnukespeoplesminds 3 년 전 +26

      @@nemo4555 i think if you purposely create a specific singularity in the tiling you prevent the crystal from failing at distance... i think. Theres this wierd decagon shape you can make that forces the tiling to do wierd things.

  • @memerminecraft585
    @memerminecraft585 년 전 +1398

    They've recently discovered a single tile that accomplishes the same thing on its own! Would love to see this revisited.

    • @riaanvn
      @riaanvn 년 전 +119

      It is a 13-sided hat shape. It looks like the black Jamiroquai hat. I can’t wait to see a video about that either.

    • @tiaxanderson9725
      @tiaxanderson9725 년 전 +64

      Damn, you beat me by two whole days. I only just learned about the 'einstein' tile (not named after famous physicist, but merely the fact that it requires only 1 'stone' [tile]).

    • @walkinmn
      @walkinmn 년 전 +17

      Came here for the same reason

    • @baguettegott3409
      @baguettegott3409 년 전 +9

      Yes! That's why I'm here again

    • @glorydragon2597
      @glorydragon2597 년 전 +2

      YES

  • @irenanovakova1980
    @irenanovakova1980 6 개월 전 +62

    I'm from Czech Republic and let me tell you - I feel so so happy anytime any random person on the internet mentions our country! We are quite small and don't get mentioned too often!

    • @ladabenesova5386
      @ladabenesova5386 2 개월 전 +2

      I'm from Czech to and I feel the same

    • @ALizarazoTellez-English
      @ALizarazoTellez-English 2 개월 전

      The feel of any random country from Latam...

    • @thisisaimbot9560
      @thisisaimbot9560 개월 전 +1

      I Don't Think so I have heard of Czech Republic many times. Mainly on the cover of Classmate(Indian Notebook Brand) Notebooks Mentioning about the beauties of Czech Republic and how important it is to Europe Mainly about a city known as 'Prague'. The Aim of the cover pages is to convey different sort of informative info and helps brand gain attention. But this country is their. I thought it was a small country with high significance in tourism.🙂

    • @LightningEthan
      @LightningEthan 26 일 전

      as someone who plays geoguessr I see it all the time 😂

  • @Huntress_Hannah
    @Huntress_Hannah 3 년 전 +3759

    I’d like to point out this dude hated his professor so much, he looked at 20,000 squares just to prove him wrong

    • @kovyvuri
      @kovyvuri 3 년 전 +74

      @@AmeshaSpentaArmaiti its a joke dude...

    • @kirbydied2875
      @kirbydied2875 3 년 전 +20

      @@AmeshaSpentaArmaiti learn what a joke is

    • @Twisted_Code
      @Twisted_Code 3 년 전 +108

      @@kirbydied2875 learn what critical thinking is. Critical analysis is not necessarily irreconcilable with humor. In fact, I thought his second sentence's observation was funny.

    • @michelsalazar2859
      @michelsalazar2859 3 년 전 +2

      Ight

    • @Fyafli
      @Fyafli 3 년 전 +13

      @@AmeshaSpentaArmaiti not serious replies offering an alernative unfunny punchline for the joke, I mean, who wants an unfunny joke? That's just not helpful.

  • @wuddadid
    @wuddadid 3 년 전 +4412

    All I was thinking throughout this whole video was:
    "I have to remember this when I'm tiling my bathroom in my house when I'm older"

    • @WholesomeDevil
      @WholesomeDevil 3 년 전 +4

      Lol

    • @WholesomeDevil
      @WholesomeDevil 3 년 전 +26

      I'll help u do that

    • @bbjygm
      @bbjygm 3 년 전 +80

      Yes, same. It'd be quite intriguing to pull it off and still look fairly cool

    • @miou-miou2740
      @miou-miou2740 3 년 전 +130

      dont bother, it would just be fu-tile...
      (hey, he said it in the video, dont blame me for the bad pun)

    • @CuddlePhantom
      @CuddlePhantom 3 년 전 +6

      RIGHT?! XD

  • @aarushrout4915
    @aarushrout4915 년 전 +461

    While studying symmetry in school, I felt it was a boring topic
    And now here comes this guy who's making every possible boring topic interesting
    You're just AWESOME!

    • @eak9t
      @eak9t 년 전 +4

      Him: it's not that complicated.
      *Proceeds to explain the 4th dimension*

    • @LJ.
      @LJ. 년 전

      Had some crazy flashbacks of being back in school making those same patterns with wooden shapes. Pretty cool.

    • @danparish1344
      @danparish1344 10 개월 전 +2

      It is a boring topic, repetitive too; after you learn the first half, you sit through and learn the second half which is basically a mirror image of what you already learned.

    • @BenDRobinson
      @BenDRobinson 4 개월 전

      Geometry has ALWAYS been a (potentially) fascinating topic, and it's a sad reflection on our way of doing education that generations of people have found it otherwise.

  • @liudvikassablauskas1950

    Just right now they found the first single tile that tiles the plane aperiodically, calling it "eistein". Amazing breakthrough! It does however require mirroring

    • @jyvben1520
      @jyvben1520 7 개월 전 +6

      Einstein, German for "one stone",
      the latest variant found (in or before summer 2023) is called Spectre (not the Bond movie)

    • @fishxw9470
      @fishxw9470 7 개월 전 +19

      They found a variant which doesn't require mirroring also too!

  • @wallaceroberts9859
    @wallaceroberts9859 3 년 전 +1526

    Builder: So what kind of tiles you want in your bathroom then?
    Veratasium: Well....

  • @BlightCosmos
    @BlightCosmos 3 년 전 +20017

    I feel like i learnt alot while learning nothing at the same time

  • @th3felixraven344
    @th3felixraven344 년 전 +6

    The quality is so high. It's like a documentary teachers show you in class if there is spare time except more interesting and more brain-expanding. -sincerely Uel

  • @shreeyaksajjan1200

    Your visualisations are stunning. Such intricate patterns, drawn so beautifully

  • @aspeneatherton3943
    @aspeneatherton3943 3 년 전 +3515

    “Well it’s infinite, so it’s gotta repeat at SOME point, right?”
    Scientists: “lmao no”

    • @stevenmathews7666
      @stevenmathews7666 3 년 전 +194

      there's parts that repeat but the whole thing won't appear twice next to itself / ex. 50% is some structure and the other 50% is that structure, or ex. you have 4 25%s and all 4 are the same thing.....there's lots of randomness

    • @camstudiosfrmd8
      @camstudiosfrmd8 3 년 전 +45

      @@stevenmathews7666 What he said then :)
      You will never find a pattern, as big as it is (even infinite), that will repeat !
      This video was so crazy ! So good :)

    • @Miniclash
      @Miniclash 3 년 전 +29

      I don't understand though why any part of those patterns could not be part of the same one infinite pattern. Since it never repeats itself and is infinite, it means that any arrangement we see could be / is part of the flat out infinity of those arrangemnts.

    • @camstudiosfrmd8
      @camstudiosfrmd8 3 년 전 +72

      @@Miniclash What you said is indeed possible, it's the same thing that Steven said. Yes you can have small patterns that repeat themselves, but that's not what the video shows. The video tells you that you won't ever be able to find a unique recurrent pattern that you could translate and create a bigger pattern with. There has to be only one pattern that fills the entire space.

    • @burritodoggo122
      @burritodoggo122 3 년 전 +32

      @@camstudiosfrmd8 I'm trying _extremely_ hard to understand this, and I feel like I'm close to understanding. It's just so confusing

  • @katiekawaii
    @katiekawaii 3 년 전 +862

    6:10 The ultimate smartass student, all raising his hand like: "Um, professor? I found 20,426 examples of how you're wrong."

    • @skyuwu2998
      @skyuwu2998 3 년 전 +4

      katie kawaii lol

    • @kachimaruTV
      @kachimaruTV 3 년 전 +64

      he found 1 example, which required 20,426 tiles, which might be just as annoying "I found this 1 specific example involving 20,426 unique tiles showing that you're wrong"

    • @alittlequeer
      @alittlequeer 3 년 전 +13

      he should be put into hope peaks academy for being an ultimate

    • @imaginarytree
      @imaginarytree 3 년 전 +1

      LMAO

    • @ayafi9932
      @ayafi9932 3 년 전 +3

      He got nothing to do and he started to connect things to find something

  • @simon_does
    @simon_does 7 개월 전 +6

    The Einstein Tile has been found!!!! Someone tell this man to do a follow up video.

  • @nicholasserrambana217

    great video; I've been looking for rigorous but recreational math content like this on KRplus for years!

  • @DavidSallge
    @DavidSallge 2 년 전 +4245

    This reminds me of an old saying we have here: "Everyone said that it was impossible. Then someone came who didn't know that and just did it."

    • @PomadaGaming
      @PomadaGaming 2 년 전 +26

      Ikr

    • @Left4Cake
      @Left4Cake 2 년 전 +182

      Pretty much the speedruning community in a nutshell honestly.

    • @prajuktadeyy
      @prajuktadeyy 2 년 전 +12

      Or in other words, it seems impossible uniting it done?

    • @prajuktadeyy
      @prajuktadeyy 2 년 전 +3

      Kinds like the fandom and the tollbooth

    • @ALBINO1D
      @ALBINO1D 2 년 전 +10

      @@prajuktadeyy nothing is impossible UNTIL it's done?
      Like the PHANTOM tollbooth?
      :D

  • @mason2953
    @mason2953 년 전 +2

    Ive never said this in my like, 10 years if watching youtube, but I wish I could pay you for making videos this good.

  • @roowyrm9576
    @roowyrm9576 년 전 +14

    Huge thanks for this!!! I love these mathematical/geometric/pattern discussions. My absute fascination was engaged.
    I want a Penrose tiling set!
    By the way, I'm 67, nearly failed my maths 'O' level, ended up trading as a teacher, did an extra maths course after my degree, and became a maths and art specialist (primary - UK). Taught kids tables by using patterns, and colouring them. One class of mine shocked an OFSTED inspector because around half of the kids said maths was their favourite subject..... all because of pattern in maths. And it was all started by my fascination with Fibonnaci (amongst other mathematical patterns)

  • @hoihoi12250
    @hoihoi12250 3 년 전 +1378

    "daddy, what do you do?"
    "I look at shapes"
    "That sounds easy"
    "Well I also look at colours!"

  • @lilbankaccount757
    @lilbankaccount757 3 년 전 +3022

    Imagine finding over 20,000 tiles so that you could prove your professor wrong

  • @jaydave791
    @jaydave791 11 개월 전 +4

    Today I randomly saw a short showing aperiodic monotile and immediately came back to this video. It is so fascinating to some widely accepted opinion (minimum 2 shapes are required for aperiodic tiling) change
    Now only one shape is required for aperiodic tiling

  • @BakeBakePi
    @BakeBakePi 년 전 +13

    an aperiodic monotile was just found!!!

    • @gamerman315
      @gamerman315 년 전

      Wonder if he will do a follow up video!

  • @hotpotato5587
    @hotpotato5587 3 년 전 +2039

    *Deep Inhale*
    I didn’t need an existential crisis about pentagons.

    • @Below-Zero.
      @Below-Zero. 3 년 전 +18

      They solved it. Pay attention.

    • @LordLongHands
      @LordLongHands 3 년 전 +48

      Roland Duson they made a joke, pay attention.

    • @Below-Zero.
      @Below-Zero. 3 년 전 +6

      @@LordLongHands You're so boring and typical.

    • @r00b27
      @r00b27 3 년 전 +1

      *Deep Inhale*
      Science says otherwise.

    • @r00b27
      @r00b27 3 년 전 +22

      @@Below-Zero. it's more boring and typical to miss the joke my friend.

  • @vellerisyy
    @vellerisyy 3 년 전 +2004

    My small ass brain just pretending to know what he's saying: *mm yes ah yes mhm yes indeed quite correct*

  • @PatrickStewarts
    @PatrickStewarts 년 전 +7

    Someone did it! Found one shape that when put together never repeats!!

  • @watchimgo
    @watchimgo 개월 전

    This video is especially inspiring! I really appreciate your work!

  • @SemiMono
    @SemiMono 3 년 전 +1061

    11:49 "It's futile"
    No, it's many tiles.

  • @briannawarren4174
    @briannawarren4174 3 년 전 +1798

    Imagine having Penrose tiling in your bathroom floor. It's a very cool pattern, it'd be great to look at while you're otherwise occupied.

    • @dankwarmouse6248
      @dankwarmouse6248 3 년 전 +162

      SHITTING YOU MEAN

    • @richardpike8748
      @richardpike8748 3 년 전 +68

      I'd stare at it until my bum was dry

    • @halicusnguyen8864
      @halicusnguyen8864 3 년 전 +135

      "I didn't do my homework the floor was too interesting"

    • @educostanzo
      @educostanzo 3 년 전 +49

      I want to retile my entire bathroom now.

    • @otsegoudead
      @otsegoudead 3 년 전 +74

      "Grandpa, how did you folks do to poop without having a smartphone?"
      "We used this great thing called the Penrose ceramic tiling. We never had the same poop in our entire life."

  • @gabedegoeij1190
    @gabedegoeij1190 년 전 +8

    I love the video. It’s really astounding how you are capable of explaining it in a way that makes it sound easy and fun to explore. Also, at 09:40, during the pattern overlap, I could have sworn a saw a face looking at me. I might be haunted….

  • @user-fy9vb4mz2q
    @user-fy9vb4mz2q 개월 전

    It's a stunning combination of being mind-blowing, counterintuitive, and breathtakingly beautiful.

  • @saadejaz8025
    @saadejaz8025 3 년 전 +1003

    *Something happens*
    Golden ratio: hello there

    • @sumans7620
      @sumans7620 3 년 전 +31

      GENERAL RATIO!
      You are a bold one

    • @jmir1
      @jmir1 3 년 전 +20

      This video's aspect ratio

    • @arnabbiswasalsodeep
      @arnabbiswasalsodeep 3 년 전 +5

      e & pi together with phi, looking at the sofa constant

    • @sungazing59
      @sungazing59 3 년 전 +3

      The angel from my nightmare

    • @loewoo9821
      @loewoo9821 3 년 전 +1

      @@jmir1 Sadly not, would be sooo amazing if it was though

  • @WhoEvenFilms
    @WhoEvenFilms 3 년 전 +2148

    Me: this video is very neatly presented
    My brain: h e x a g o n s a r e t h e b e s t a g o n s

    • @sapphirec_5689
      @sapphirec_5689 3 년 전 +52

      Lol I keep thinking that too

    • @miki890098
      @miki890098 3 년 전 +8

      I've just seen it lol

    • @Zhuk-zc8es
      @Zhuk-zc8es 3 년 전 +26

      am i the only one who noticed a CGP Grey reference in this comment

    • @Zhuk-zc8es
      @Zhuk-zc8es 3 년 전 +5

      @@pyrthero ok good

    • @WhoEvenFilms
      @WhoEvenFilms 3 년 전 +24

      @@Zhuk-zc8es that's literally the whole joke

  • @jameskling9400
    @jameskling9400 년 전 +6

    Time for an update...both for the Einstein tile, and for the LastPass sponsor. lolol

  • @gknomics
    @gknomics 6 개월 전 +2

    Whenever I watch a veritasim infinite math video it feels like my soul is being lifted into a totally different universe of interconnecting math. Super great videos.

  • @anjiruhyure2080
    @anjiruhyure2080 3 년 전 +782

    Isn't it weird how this could be a lecture in some school and we'd all be falling asleep, but this guy managed to make it so interesting that 3m people decided to watch it?

    • @xrosethegreat9048
      @xrosethegreat9048 3 년 전 +92

      school forces you to learn, this video is optional and encourages curiosity.

    • @inzaghi8935
      @inzaghi8935 3 년 전 +15

      Ghost Anon your comment makes no sense

    • @xandermayfield473
      @xandermayfield473 3 년 전 +5

      yeah why are we all here rn 😭

    • @SatanAzerath
      @SatanAzerath 3 년 전

      @@inzaghi8935 Unfortunately, that says more about you.

    • @chilled1792
      @chilled1792 3 년 전 +4

      Ghost Anon the fact that he’s not paying attention already disproves what you’re saying

  • @starfox5165
    @starfox5165 3 년 전 +1305

    Students: Learning shapes is for kids!
    Shapes: *•-•*

  • @thomblinn4731
    @thomblinn4731 년 전

    Your obsessiveness is an inspirational. Thank you

  • @soupnoodles
    @soupnoodles 년 전 +1

    Really well illustrated... worthwhile subscription

  • @Jamandbutter0
    @Jamandbutter0 3 년 전 +2104

    if it doesnt repeat does it even classify as a "pattern" anymore?

  • @daemoneko
    @daemoneko 3 년 전 +790

    “The time you waste will accumulate over your life time” I didn't need that personal attack today, thanks Derek

  • @Leibniz_28
    @Leibniz_28 11 개월 전 +6

    I return to this video after knowing about the new Einstein Tile

  • @herisruns
    @herisruns 9 개월 전 +9

    when i watched this video a year ago, i wondered why the aspect ratio is slightly less wide than the standard 16:9. the answer just clicked in my brain: it's the golden ratio. very nicely done

  • @frankovich213
    @frankovich213 3 년 전 +786

    Definition of a pattern: "It must repeat"
    Penrose Tiling: "Hold my rhombus"

    • @jesserobinson2948
      @jesserobinson2948 3 년 전

      😂

    • @bro8616
      @bro8616 3 년 전 +2

      team sucks lol

    • @AnguishedMan
      @AnguishedMan 3 년 전

      Dont care didn’t ask

    • @smarthydra061
      @smarthydra061 3 년 전 +1

      Lol 😂

    • @columbus8myhw
      @columbus8myhw 3 년 전 +3

      To be precise: things that repeat are called "periodic". They exhibit "periodicity". The Penrose tiling exhibits what's called "quasi-periodicity"; it's "quasi-periodic".

  • @digbick6917
    @digbick6917 3 년 전 +1949

    Class today we'll be learning about shapes
    Class: LOL shapes are for kids
    Shapes:

    • @zemtex2323
      @zemtex2323 3 년 전 +8

      😂

    • @tausiftaha12
      @tausiftaha12 3 년 전 +27

      Imagine saying shapes are for kids, I be you are a kid, wait till you have to draw that shapes and joke isn't good.

    • @misslea-idv4734
      @misslea-idv4734 3 년 전 +5

      TT12- Roblox and more Our most sincere apologies, grandfather!

    • @misslea-idv4734
      @misslea-idv4734 3 년 전 +2

      TT12- Roblox and more | Imagine saying shapes are for kids. I bet you are a kid, wait ‘till you draw those shapes. Your joke isn’t good.*

    • @misslea-idv4734
      @misslea-idv4734 3 년 전 +3

      TT12- Roblox and more It’s ironic how you are aware it’s a joke. It makes me utterly indecisive whether to laugh or be annoyed.

  • @chiaratesarova3463

    We are so happy that you enjoyed Prague!!

  • @ianfarquharson2933

    truly amazing, the mysteries of geometric nature
    some parts of this video blew my mind away

  • @katieerickson8010
    @katieerickson8010 3 년 전 +197

    Is anyone else here seriously excited to learn this stuff like I don't think I've ever been so thrilled by a math lecture

    • @lrx3634
      @lrx3634 3 년 전

      Na

    • @OR-pv4iz
      @OR-pv4iz 3 년 전

      euridite

    • @GODHATESVANDAL
      @GODHATESVANDAL 3 년 전 +6

      School wants kids dumb

    • @crr5699
      @crr5699 3 년 전 +1

      Presentation is everything

    • @LacedWithOreos
      @LacedWithOreos 3 년 전

      Same! Seeing the 'rules' of science being broken down and applied in new, strange ways is seriously cool.

  • @AFKBIN
    @AFKBIN 3 년 전 +15075

    One of the most interesting classes I ever had

  • @dashpowers22
    @dashpowers22 년 전 +5

    Time to make an update!

  • @BenDRobinson
    @BenDRobinson 4 개월 전

    Loved the Moire play with the transparencies! I think I may have to get some printed up!

  • @titaniummechanism3214
    @titaniummechanism3214 3 년 전 +642

    My parents thought about renovating the upstairs bathroom, I think I just found the perfect floor tiles!

    • @BigDaddyWes
      @BigDaddyWes 3 년 전 +49

      This video will start a trend, for sure.

    • @floreaciprian9742
      @floreaciprian9742 3 년 전 +62

      imagine the poor guys having to set those tiles :))))

    • @TheSecondVersion
      @TheSecondVersion 3 년 전 +122

      Perfect for when your bathroom is infinitely large and you hate reptition

    • @paulflute
      @paulflute 3 년 전 +9

      yep.. i thought.. " that's our patio sorted " at one point

    • @SirAlbertoo
      @SirAlbertoo 3 년 전 +3

      You guys have an upstairs bathroom 🙃

  • @DinoQuintana
    @DinoQuintana 3 년 전 +217

    11:49 "It's futile."
    No man, it's very many tile.

  • @willchristian5954
    @willchristian5954 년 전 +2

    Absolutely loved this video!! but it is very near 4/1/2023, but not quite yet, where is our video on the 13 sided "Einstein Tile" my friend?????!?!?!!!!!!!

  • @DanielVCOliveira

    In 2012 I attended a talk by the very Dan Schechtman about quasi-cristals. His talk paled in comparison to this video. I walked out of there with absolutely no idea of what quasi-cristals were, but you made it cristal clear to me (pun not inended) in just 20 minutes. Goes to show you the, not just importance, but NECESSITY of science communicators to spread knowledge.

  • @IanChristopher
    @IanChristopher 3 년 전 +567

    When I saw the golden ratio and fibonacci sequence, I was like
    "Oh yeah, it's all coming together"
    But in reality,
    I still don't understand a thing.

    • @AngadSehdeva
      @AngadSehdeva 3 년 전 +9

      This guy gets it

    • @Orroset
      @Orroset 3 년 전 +3

      I came here to comment something similar. But you said it best :D

    • @ishantyadav5532
      @ishantyadav5532 3 년 전 +6

      You said the exact thing what everyone felt while watching this video but could not gather guts to accept.

    • @secularmonk5176
      @secularmonk5176 3 년 전 +5

      12:55 While "five-fold symmetry" can definitely be connected to the golden ratio through the square root of 5, aren't the "0.5" elements in his framing of phi just an accident of base-10 expression? For example, in base-6, the expression would be "0.3 + (5^0.3)*0.3"

    • @williamcrosby1061
      @williamcrosby1061 3 년 전 +2

      If you really want to go down a rabbit hole check out "quantum gravity research" on youtube they are trying to make use of higher dimensional quasi crystals to experiment with theoretical physics in some kind of simulation. Theres alot l of videos now though i started watching when they started.

  • @XFz2nLDWo73x95
    @XFz2nLDWo73x95 2 년 전 +2009

    This man's enthusiasm, individuality, and presentation is quite the treat. These are the types of teachers kids need to stay focused and excited.

    • @DarrenGedye
      @DarrenGedye 2 년 전 +22

      I agree, a passionate teacher is so important, because most communication is non-verbal. I wonder if a lot of the modern anti-intellectualism conspiracy theories are due to kids turning off in science because of poor science teachers.

    • @UserName-ii1ce
      @UserName-ii1ce 2 년 전 +5

      Is he a teacher or is he just someone like us

    • @Bubbl607
      @Bubbl607 2 년 전 +13

      @@UserName-ii1ce he has a phd in physics education research so he is very passionate in improving the way topics like these are taught to people

    • @PianoGesang
      @PianoGesang 2 년 전 +2

      The man is a genius

    • @thegreatbritishcircusfeatu2531
      @thegreatbritishcircusfeatu2531 2 년 전 +4

      my year 7 science teacher was amazing,childish but not immature of that makes sense.he made science fun for the whole class and was just genuinely a good teacher

  • @KabuMontasaurios
    @KabuMontasaurios 25 일 전

    Every time I watch this video I feel an inmense sense of dread coming from the ever-recurring 5-fold symetry and the golden ratio

  • @mrnecrotic
    @mrnecrotic 년 전 +1

    I just love how every CGP Grey fan is screaming that hexagons are the bestagons. Spreading the knowledge on its finest level; on and onagon

  • @haydensmolik222
    @haydensmolik222 3 년 전 +455

    I came here to look for a cool tiling pattern for my kitchen
    I have now left with a degree for geometry

  • @abhishekshah11
    @abhishekshah11 3 년 전 +499

    I love how Veritasium has transitioned from physics into geometry, chaos theory and more math topics. Would love to see him cover some of graph theory as well!

    • @sandeeptiwari5189
      @sandeeptiwari5189 3 년 전 +4

      Yes bro

    • @sathvikmalgikar2842
      @sathvikmalgikar2842 3 년 전 +13

      Vsauce and Veritasium . the two gems
      but what are gems????????????

    • @LouSaydus
      @LouSaydus 3 년 전

      What he really needs to cover is social justice and how white supremacy causes people to believe this "science" is true.

    • @AndrasDNagy-bs5dc
      @AndrasDNagy-bs5dc 3 년 전 +1

      @@LouSaydus are you suggesting that non-white people are unable to think with the sophistication presented here? If yes, you are racist.

    • @Rotem_S
      @Rotem_S 3 년 전

      I mean, these are all things that were briefly discussed in my physics BA, but yeah they're mostly math-y

  • @anoirbentanfous

    This one of the best KRplus videos ever made.

  • @spookyowlsounds3666
    @spookyowlsounds3666 5 개월 전 +2

    Your bit about infinity, how there are an infinite number of patterns made me think of the multiverse theory. Some people focus on how in the multiverse there could be wildly different things than we're used to, but there could also be an almost identical replica, so infinitely near perfect that it'd be impossible to ever know the difference.

  • @hugobethancourt4191
    @hugobethancourt4191 3 년 전 +496

    As a physics and mathematics major I can’t find any video of Derek’s that isn’t totally enthralling. Let’s all take a moment to congratulate Penrose for his prize and Derek for such consistency and quality in all of his videos. You truly make the world a better place!

  • @jmir1
    @jmir1 3 년 전 +527

    The madlad actually made this video's aspect ratio the golden ratio :D I was so confused until I divided the pixels after watching the video. Nice touch 👍

  • @alyssatipton5080
    @alyssatipton5080 25 일 전

    This is just wild. I have no idea what I just watched but it was still amazing and gives me a bigger respect for the universe around me

  • @sdcb363
    @sdcb363 7 개월 전 +1

    1:23 "there are just five platonic solids."
    *jan Misali would like to have a word.*

  • @aidanharley243
    @aidanharley243 3 년 전 +1018

    IT'S THAT DAMNED GOLDEN RATIO AGAIN! IT'S INESCAPABLE!

  • @DijaFix
    @DijaFix 3 년 전 +417

    Fun fact: Keskuskatu in Helsinki, Finland is tiled with this pattern, and I’ve always felt pretty uneasy about the fact that it doesn’t seem to repeat. Now I know it doesn’t.

    • @Ludifant
      @Ludifant 3 년 전 +20

      I looked it up, it's a square (ironically named now, should be pentagon to retain some of the symmetry, but I can't find an aerial image) tiled with a penrose tiling. Not many good pictures of it, math isn't all that interesting to tourists if it is beyond the price of coffee.

    • @teo3066
      @teo3066 3 년 전 +2

      I thought this pattern looked familiar, that's pretty cool

    • @simonwesterlund2151
      @simonwesterlund2151 3 년 전 +4

      I allways thought it did repeat on some level but now i know it doesn’t

    • @aversal
      @aversal 3 년 전 +3

      Thanks for this! I hadn't noticed it before, but I gotta go there and see it for myself the next time I go to the capital.

    • @manicjupiterflute
      @manicjupiterflute 3 년 전

      The pattern doesn't repeat but it does contain the Fibonacci sequence which means there is an ORDER that is special.

  • @coco0789
    @coco0789 년 전 +1

    I’ve watched this like 12 times. This video still breaks my brain.

  • @ThatJyJade
    @ThatJyJade 5 개월 전 +1

    I swear to god veritasium always has the most interesting titles

  • @VPZealouZ
    @VPZealouZ 2 년 전 +584

    Saving this to my “don’t watch while you’re high” playlist

    • @1TieDye1
      @1TieDye1 2 년 전 +69

      Saving this to my “watch while you’re high” playlist
      Thank you for the idea of that playlist

    • @ash.mystic
      @ash.mystic 2 년 전 +16

      @@1TieDye1 I concur 😁
      Even watching this one sober put me in that state a bit ✨

    • @MilesTheModest
      @MilesTheModest 2 년 전 +5

      I love that you actually made a playlist just for this vid, Yes, i checked haha

    • @carmengogeidnas9670
      @carmengogeidnas9670 2 년 전 +2

      Too late. I just learned a lot about the fabric of spacetime.

    • @MelodyMaker716
      @MelodyMaker716 2 년 전 +2

      Haha, 420 likes :D

  • @No-pm4ss
    @No-pm4ss 3 년 전 +1436

    My mind was blown several times through the course of this video, well done.

    • @mr.knight8967
      @mr.knight8967 3 년 전 +1

      Maths : QUESTION
      Factor high degree polynomial
      krplus.net/bidio/dJ1xgnGFm6O0o4o
      See one time

    • @binashah3106
      @binashah3106 3 년 전 +1

      true

    • @stevethea5250
      @stevethea5250 3 년 전 +4

      @@mr.knight8967 IT'S FU-TILE 11:48

    • @atulit
      @atulit 3 년 전 +1

      What are the odds, that you think and found other thinking same, well in general close to zero but sometimes videos like these probability is very high, after watching video I thought I would write - " blown 🤯 " but found this comment which is from a person whom I know, I think I know you

    • @rykerquackenbush585
      @rykerquackenbush585 3 년 전

      Go ahead and try the Banach-Tarski paradox over on Vsauce.

  • @omegalul4546
    @omegalul4546 년 전

    You are one of or even THE best science channel

  • @SwaroopNarasimhaK
    @SwaroopNarasimhaK 3 년 전 +394

    All I need is some tiles on my kitchen wall with a non repeating pattern

    • @calholli
      @calholli 3 년 전 +18

      Now you know how.. You'll just have to decide your 2 base shapes.

    • @eval_is_evil
      @eval_is_evil 3 년 전 +37

      Oh god ,imagine it in a restaurant. People would go insane seeking for a pattern. You know when you're bored at a dinner and you seek patterns on wall tiles?

    • @capsey_
      @capsey_ 3 년 전 +8

      ​@@eval_is_evil I would be not insane, but amazed, - tile that so perfectly fits, but never repeats... actually, before this video I thought this is impossible

    • @TStut15IsMyMinecraft
      @TStut15IsMyMinecraft 3 년 전 +2

      I've spent time looking for the pattern in the wall of a campsite bathroom (I did manage to find one), I don't want to think how long I would be looking for one in a restaurant.

    • @yashmakkar4172
      @yashmakkar4172 3 년 전

      😂😂😂😂

  • @douglasshouganai2516
    @douglasshouganai2516 3 년 전 +531

    someone should start a home renovation company called Penrose Tiling Company. specialize in bathroom tiling, tile flooring, and roofing or something

    • @drumnbreakz
      @drumnbreakz 3 년 전 +21

      lol the same idea occured to me, too: I just added a new note to my 'interior design tips' spreadsheet to create a Penrose-type tiling where possible : ))

    • @drumnbreakz
      @drumnbreakz 3 년 전 +1

      @UCB7yFRL1a7G4b18-GynCNJg hehe, nice. Thanks for the heads up! ;)

    • @mihan2d
      @mihan2d 3 년 전 +7

      "Penrose Tiling. Making people high without drugs!"

    • @tunigkhan4942
      @tunigkhan4942 3 년 전

      @@mihan2d LMFAO

    • @ad_exodus
      @ad_exodus 3 년 전

      there is areason there isnt one, it wouldnt work

  • @ahaanbhosale5270

    Absolutely brilliant!

  • @dsw1111
    @dsw1111 11 개월 전

    Very interesting and thorough video. I have a question - when adding tiles to the pattern, some tiles are fully determined by what is present and some are choices. What fraction of tiles do you get to make a choice. Or does this not scale with area (meaning a constant proportion) but with linear pattern size (meaning that the larger the pattern the fewer the choices) or with some fractional power of the linear size?

  • @Cardgames4children
    @Cardgames4children 3 년 전 +154

    Stuff like this is what blows my mind. Being at the mercy of mathematics, being able to prove things logically and yet never being able to verify it by observation, how a few simple rules can produce such complex behavior, etc. We really are lucky to be able to explore such things!

    • @deusvult5738
      @deusvult5738 3 년 전 +4

      Math is awsome and beautiful and everybody likes it!
      Haters gonna hate.

    • @rich.wishes
      @rich.wishes 3 년 전

      deus vult I can’t stand math, but I will admit if you’re good enough at it you can do anything given the tools

  • @declanc9791
    @declanc9791 3 년 전 +910

    Me: just one more video
    3am: G E O M E T R Y

  • @arielmorandy8189

    i watched it three times over one year, still amazing and it get richer..

  • @joybarber6974
    @joybarber6974 2 개월 전

    Mind blowing and very exciting!

  • @rick2517
    @rick2517 2 년 전 +885

    imagine if keppler was resurrected, he must be so frustrated that he almost figure it out

    • @juanbomfim22
      @juanbomfim22 2 년 전 +116

      No, he'd be very proud because he was in the right path

    • @Idiocy
      @Idiocy 2 년 전 +6

      Love the profile picture

    • @alicorn3924
      @alicorn3924 2 년 전 +1

      @Scom Tott nah nah, it's: Jowaness Keiper. Because why not?

    • @ryangraham6878
      @ryangraham6878 2 년 전 +8

      I think he would be proud. Because he WAS right!

    • @lordbanetheplayer8844
      @lordbanetheplayer8844 2 년 전 +1

      @@ryangraham6878 Still is right.

  • @potatoparadise6238
    @potatoparadise6238 3 년 전 +642

    After watching this
    *Me looking at my carpet patterns*
    hmmm...periodically

  • @SushiRoll-pb3jo
    @SushiRoll-pb3jo 년 전 +1

    If I had these, I would sit and play with them all day.

  • @ancinder9608
    @ancinder9608 5 개월 전 +2

    When is the Einstein tile video coming out? I love how you explain this and would love an explanation for that!

  • @pipes94
    @pipes94 3 년 전 +2275

    I’m gonna pretend that I know exactly what he’s talking about

    • @sarathchandran3503
      @sarathchandran3503 3 년 전 +10

      Golden ratio
      Most impressive and acceptable theory explanation
      krplus.net/bidio/dK2qqH1jmZrSgYY

    • @pipes94
      @pipes94 3 년 전 +10

      Sarath chandran thanks I’ll watch it later if it’s not a rick roll lol

    • @lscrunchybussy4844
      @lscrunchybussy4844 3 년 전 +8

      wait an i actually smart or sum cause i mostly understand nah it's probably just cause it's 3 in the morning my brain is extending

    • @paulembleton1733
      @paulembleton1733 3 년 전 +4

      As good a place as any to start.

    • @sarathchandran3503
      @sarathchandran3503 3 년 전 +2

      @@paulembleton1733
      krplus.net/bidio/XdiZlH5ojGqcZqg

  • @PeterSFam
    @PeterSFam 3 년 전 +1446

    If a floor was tiled with this anti-pattern, I think it would drive me slowly to madness looking for a pattern

    • @abacussssss
      @abacussssss 2 년 전 +41

      i mean, there is a pattern, it's just an infinite hierarchy

    • @rachelLadyD
      @rachelLadyD 2 년 전 +20

      we did this in london,it was all one colour wooden,like a paraquet floor, my landlord cut out the above shape and put us to work he paid us in good nutritious food and a laid back attitude to our scrappy cleaning ect

    • @potassium6677
      @potassium6677 2 년 전

      im te kind of person to actually find the pattern

    • @gabrielabatista6016
      @gabrielabatista6016 2 년 전

      I can kinda see matching points, almost like symmetry

    • @The_Biologist27
      @The_Biologist27 2 년 전 +6

      @@potassium6677 if you somehow found a pattern it would mean you had a mental disability which causes you to see things that aren't real / change what you see to look like something else

  • @joshuahancock2079
    @joshuahancock2079 년 전 +1

    My Physics 581 (solid state physics) teacher briefly metioned quasicrystals in class today and I remembered this video. I went back and watched it again with a new perspective and it totally blew my mind. I'v always loved Kepler's wierd geometric obsessions, so this was cool to see applied to my field of study!

  • @discord_non
    @discord_non 6 개월 전

    I gotta stop watching these but they are so good I can't!

  • @yannisconstantinides7767

    For people who love geometry, this is just absolutely inspiring.

    • @Ludifant
      @Ludifant 3 년 전 +12

      It is. I was thinking during this video how two penrose pattern slightly rotated and scaled would make an interesting level generator if only there was a formula in stead of a puzzle.

    • @Seinaru
      @Seinaru 3 년 전 +10

      Nah man, I keep dying in geometry.😤

    • @jack-gf6jw
      @jack-gf6jw 3 년 전 +3

      For people who hate* (me)

    • @sylvains.1404
      @sylvains.1404 3 년 전

      THEORIA OMNIA est un chercheur indépendant qui a développé une théorie qui va beaucoup plus loin que ce qui est montré ici... Faites une recherche...

    • @Louganda
      @Louganda 3 년 전

      Geometry is for little kids

  • @shauncarter924
    @shauncarter924 2 년 전 +2790

    This whole Golden Ratio is fascinating. It keeps popping up all over the place. I dig it.

    • @40watt53
      @40watt53 2 년 전 +118

      Phi, pi, and especially e, they're like a curse, look literally anywhere and you'll find them.

    • @alberthavidslumowa5656
      @alberthavidslumowa5656 2 년 전 +71

      jojo fan will ruin this comment

    • @nm9105
      @nm9105 2 년 전 +60

      @@alberthavidslumowa5656 gyro zeppeli approves

    • @Correa-pi2tx
      @Correa-pi2tx 2 년 전 +8

      Ratio 😎

    • @canti7951
      @canti7951 2 년 전 +80

      @@alberthavidslumowa5656 Jojo fans are the real golden ratio all along. They literally are everywhere. You can't escape them.

  • @jimmysevigny759
    @jimmysevigny759 11 개월 전

    Thanks for all those vidéo. I was not able to stop watched them !! So i want to know, how could i get the filter you use in the 3rd part of this vidéo to do Moiré Pattern. Thanks again

  • @k.amik.o
    @k.amik.o 년 전

    This is fascinating! Oh and I lived and still live in Prague my whole life

  • @colonelstriker2519
    @colonelstriker2519 3 년 전 +608

    Moire pattern: exists
    KRplus quality: adios

    • @spodefollower
      @spodefollower 3 년 전 +72

      Compression algorithm: *sweats profusely*

    • @timothymiddleton6651
      @timothymiddleton6651 3 년 전 +9

      Xeno Kudatarkar
      Video compression works by simplifying RGB and chroma data in patterns. The fewer patterns(repetition), the less effective the algorithm. Then you get a blurry or blocky picture. :)

    • @mr.knight8967
      @mr.knight8967 3 년 전

      Maths : QUESTION
      Factor high degree polynomial
      krplus.net/bidio/dJ1xgnGFm6O0o4o
      See one time

    • @bagzhansadvakassov1093
      @bagzhansadvakassov1093 3 년 전 +2

      @@timothymiddleton6651 I think you can force it is to use less compression, not sure about h264.

  • @yanna5885
    @yanna5885 3 년 전 +259

    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

    • @gweltazlemartret6760
      @gweltazlemartret6760 3 년 전 +5

      Only diffs with your teacher are the animations and video edition.
      You should ask your teacher to animate things and edit in real time life.

    • @cly7894
      @cly7894 3 년 전 +1

      My teacher just Googles up a website and tells us to copy it

    • @LisaBeergutHolst
      @LisaBeergutHolst 3 년 전 +3

      Because school just exists to make you obedient lol

    • @gweltazlemartret6760
      @gweltazlemartret6760 3 년 전

      @@LisaBeergutHolst That's what teachers want you to believe.

  • @to2podemosaprender630

    I saw a video about this long time ago... and since then I can not get out of my mind... he's number are crazy..

  • @deaponn3069
    @deaponn3069 년 전

    I am certain that I have watched this video like a couple of months or years ago but yet here I am rewarching it and learning everything again because I forgot it already lmao

  • @InsertShankHere
    @InsertShankHere 3 년 전 +778

    17:00 "Icosahedrons are known to be the most forbidden shape"
    Me: *nervously eyes dnd dice bags*

    • @simonmacomber7466
      @simonmacomber7466 3 년 전 +38

      Ah, yes the tetrahedron, is better known as a D4. A Cube as a D6, An Octahedron as a D8. A Dodecahedron as a D12. And an Icosahedron as a D20.

    • @milanstevic8424
      @milanstevic8424 3 년 전 +18

      and Plato as DM

    • @milanstevic8424
      @milanstevic8424 3 년 전 +2

      @@simonmacomber7466 doesn't it sound better as hexahedron? instead of kewbe, as if it fell on its head.

    • @asandax6
      @asandax6 3 년 전 +1

      don't summon the demogorgon

    • @nevaehrosee315
      @nevaehrosee315 3 년 전

      @@simonmacomber7466 jkf
      u null uth uh hj op kp