Тёмный

The Infinite Pattern That Never Repeats 

Veritasium
Подписаться 16 млн
Просмотров 20 млн
50% 1

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 RU-vid)
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

Опубликовано:

 

1 май 2024

Поделиться:

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист
Посмотреть позже
Комментарии : 24 тыс.   
@veritasium
@veritasium 3 года назад
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”
@jeorfryemuntgumry3565
@jeorfryemuntgumry3565 3 года назад
Congratulations to him, he genuinely deserves it!
@jawhns3410
@jawhns3410 3 года назад
Hi
@valenveith5251
@valenveith5251 3 года назад
This video triggered everything inside of me
@varunsrinivasan1523
@varunsrinivasan1523 3 года назад
Roger penrose was a close friend and research partner of stephen hawking.....he totally deserves it
@adandylife329
@adandylife329 3 года назад
Was this planned by you to time it with the announcement?
@owen9510
@owen9510 3 года назад
“Wang’s Conjecture was false.” Me, through a mouthful of chips, not understanding a word of this: “Haha, what a loser.”
@victordlonsod9382
@victordlonsod9382 3 года назад
HAHAHAHAHAHAHA
@8474Mikhail
@8474Mikhail 3 года назад
hahahahha
@robmc120
@robmc120 3 года назад
"He forgot to incorporate gravity, i was wondering why he didnt do that" ~Brian Regan with bag of Cheetos
@t0astface
@t0astface 3 года назад
This made me laugh out loud a lot 🙌🏽
@1battlemedic622
@1battlemedic622 3 года назад
You no mess with Lo Wang
@Huntress_Hannah
@Huntress_Hannah 3 года назад
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 года назад
@@AmeshaSpentaArmaiti its a joke dude...
@kirbydied2875
@kirbydied2875 3 года назад
@@AmeshaSpentaArmaiti learn what a joke is
@Twisted_Code
@Twisted_Code 3 года назад
@@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 года назад
Ight
@Fyafli
@Fyafli 3 года назад
@@AmeshaSpentaArmaiti not serious replies offering an alernative unfunny punchline for the joke, I mean, who wants an unfunny joke? That's just not helpful.
@memerminecraft585
@memerminecraft585 Год назад
They've recently discovered a single tile that accomplishes the same thing on its own! Would love to see this revisited.
@riaanvn
@riaanvn Год назад
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 Год назад
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 Год назад
Came here for the same reason
@baguettegott3409
@baguettegott3409 Год назад
Yes! That's why I'm here again
@glorydragon2597
@glorydragon2597 Год назад
YES
@irenanovakova1980
@irenanovakova1980 6 месяцев назад
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 месяца назад
I'm from Czech to and I feel the same
@ALizarazoTellez-English
@ALizarazoTellez-English 2 месяца назад
The feel of any random country from Latam...
@thisisaimbot9560
@thisisaimbot9560 2 месяца назад
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 Месяц назад
as someone who plays geoguessr I see it all the time 😂
@BlightCosmos
@BlightCosmos 3 года назад
I feel like i learnt alot while learning nothing at the same time
@PolarBearLP
@PolarBearLP 3 года назад
Just like school
@athanmutia5022
@athanmutia5022 3 года назад
The best way to describe it is learning a lot of useless information
@RAHHHSCREWYOU
@RAHHHSCREWYOU 3 года назад
Same
@PolarBearLP
@PolarBearLP 3 года назад
@@RAHHHSCREWYOU yeah i was just joking or was I? *Vsauce music plays*
@piva1358
@piva1358 3 года назад
DITTO
@wuddadid
@wuddadid 3 года назад
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 года назад
Lol
@WholesomeDevil
@WholesomeDevil 3 года назад
I'll help u do that
@bbjygm
@bbjygm 3 года назад
Yes, same. It'd be quite intriguing to pull it off and still look fairly cool
@miou-miou2740
@miou-miou2740 3 года назад
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 года назад
RIGHT?! XD
@aarushrout4915
@aarushrout4915 Год назад
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 Год назад
Him: it's not that complicated. *Proceeds to explain the 4th dimension*
@LJ.
@LJ. Год назад
Had some crazy flashbacks of being back in school making those same patterns with wooden shapes. Pretty cool.
@danparish1344
@danparish1344 11 месяцев назад
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 5 месяцев назад
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
@liudvikassablauskas1950 Год назад
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 8 месяцев назад
Einstein, German for "one stone", the latest variant found (in or before summer 2023) is called Spectre (not the Bond movie)
@fishxw9470
@fishxw9470 7 месяцев назад
They found a variant which doesn't require mirroring also too!
@BinglesP
@BinglesP 7 дней назад
@@fishxw9470 That's awesome!!! Amazing how geometric discoveries are still being found today
@shotatoriumi129
@shotatoriumi129 3 года назад
Me: Gives this pattern to the guy tiling my kitchen Tile guy: Sweats profusely
@ufotv-viral
@ufotv-viral 3 года назад
👽👍
@nemo4555
@nemo4555 3 года назад
Worst yet would hear him say: "Alright, I'm done" ...and he just created a singularity in you kitchen
@speakstheobvious5769
@speakstheobvious5769 3 года назад
His brain divides by zero.
@immortal3018
@immortal3018 3 года назад
I saw this comment already!
@radnukespeoplesminds
@radnukespeoplesminds 3 года назад
@@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.
@DavidSallge
@DavidSallge 2 года назад
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 года назад
Ikr
@Left4Cake
@Left4Cake 2 года назад
Pretty much the speedruning community in a nutshell honestly.
@prajuktadeyy
@prajuktadeyy 2 года назад
Or in other words, it seems impossible uniting it done?
@prajuktadeyy
@prajuktadeyy 2 года назад
Kinds like the fandom and the tollbooth
@ALBINO1D
@ALBINO1D 2 года назад
@@prajuktadeyy nothing is impossible UNTIL it's done? Like the PHANTOM tollbooth? :D
@th3felixraven344
@th3felixraven344 Год назад
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
@nicholasserrambana217
@nicholasserrambana217 Год назад
great video; I've been looking for rigorous but recreational math content like this on RU-vid for years!
@aspeneatherton3943
@aspeneatherton3943 3 года назад
“Well it’s infinite, so it’s gotta repeat at SOME point, right?” Scientists: “lmao no”
@stevenmathews7666
@stevenmathews7666 3 года назад
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 года назад
@@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 года назад
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 года назад
@@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 года назад
@@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 года назад
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 года назад
katie kawaii lol
@kachimaruTV
@kachimaruTV 3 года назад
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 года назад
he should be put into hope peaks academy for being an ultimate
@imaginarytree
@imaginarytree 3 года назад
LMAO
@ayafi9932
@ayafi9932 3 года назад
He got nothing to do and he started to connect things to find something
@shreeyaksajjan1200
@shreeyaksajjan1200 Год назад
Your visualisations are stunning. Such intricate patterns, drawn so beautifully
@ehtacoguy4079
@ehtacoguy4079 7 месяцев назад
They actually found one shape that doesn't repeat.
@wallaceroberts9859
@wallaceroberts9859 3 года назад
Builder: So what kind of tiles you want in your bathroom then? Veratasium: Well....
@disused8979
@disused8979 3 года назад
Underrated
@SpeakerMunkey
@SpeakerMunkey 3 года назад
bore off
@newgamer2
@newgamer2 3 года назад
wouldnt that be the ultimate ocd trigger?
@starryeyedgirls
@starryeyedgirls 3 года назад
i read that as Veritaserum-
@applewood389
@applewood389 3 года назад
@@starryeyedgirls I see your from the sua too lol
@lilbankaccount757
@lilbankaccount757 3 года назад
Imagine finding over 20,000 tiles so that you could prove your professor wrong
@coolperson8272
@coolperson8272 3 года назад
Yup XD second reply ez
@cocopuffs6166
@cocopuffs6166 3 года назад
the pure spite is respectable
@puzzled-head3493
@puzzled-head3493 3 года назад
Yup XD fifth reply ez
@Liam29821
@Liam29821 3 года назад
Yup XD seventh reply ez
@willkucma5848
@willkucma5848 3 года назад
the things students can do out of spite
@roowyrm9576
@roowyrm9576 Год назад
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)
@simon_does
@simon_does 7 месяцев назад
The Einstein Tile has been found!!!! Someone tell this man to do a follow up video.
@briannawarren4174
@briannawarren4174 3 года назад
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 года назад
SHITTING YOU MEAN
@richardpike8748
@richardpike8748 3 года назад
I'd stare at it until my bum was dry
@halicusnguyen8864
@halicusnguyen8864 3 года назад
"I didn't do my homework the floor was too interesting"
@educostanzo
@educostanzo 3 года назад
I want to retile my entire bathroom now.
@otsegoudead
@otsegoudead 3 года назад
"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."
@mason2953
@mason2953 Год назад
Ive never said this in my like, 10 years if watching youtube, but I wish I could pay you for making videos this good.
@jaydave791
@jaydave791 Год назад
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
@anjiruhyure2080
@anjiruhyure2080 3 года назад
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 года назад
school forces you to learn, this video is optional and encourages curiosity.
@inzaghi8935
@inzaghi8935 3 года назад
Ghost Anon your comment makes no sense
@xandermayfield473
@xandermayfield473 3 года назад
yeah why are we all here rn 😭
@SatanAzerath
@SatanAzerath 3 года назад
@@inzaghi8935 Unfortunately, that says more about you.
@chilled1792
@chilled1792 3 года назад
Ghost Anon the fact that he’s not paying attention already disproves what you’re saying
@daemoneko
@daemoneko 3 года назад
“The time you waste will accumulate over your life time” I didn't need that personal attack today, thanks Derek
@Naveen-iu7ej
@Naveen-iu7ej 3 года назад
.
@Koningg_
@Koningg_ 3 года назад
udaynath290493 i actually read this heen he said this
@daminecraftguy
@daminecraftguy 3 года назад
"you might look further out, but it's fu*tile*" :P
@notme9872
@notme9872 3 года назад
@@Koningg_ ME TOO! :D
@gabedegoeij1190
@gabedegoeij1190 Год назад
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 Месяц назад
It's a stunning combination of being mind-blowing, counterintuitive, and breathtakingly beautiful.
@hoihoi12250
@hoihoi12250 3 года назад
"daddy, what do you do?" "I look at shapes" "That sounds easy" "Well I also look at colours!"
@trystankitty5393
@trystankitty5393 3 года назад
??? I don’t get it
@dabunnyrabbit2620
@dabunnyrabbit2620 3 года назад
well that throws a wooden shoe into it.
@hiffahyphae6707
@hiffahyphae6707 3 года назад
@@trystankitty5393 you didn’t watch the video??
@SyemurN
@SyemurN 3 года назад
Yes daddy.
@themilkman1938
@themilkman1938 3 года назад
@@carolinesmercantile4290 and matches
@vellerisyy
@vellerisyy 3 года назад
My small ass brain just pretending to know what he's saying: *mm yes ah yes mhm yes indeed quite correct*
@fidgetyhuman
@fidgetyhuman 3 года назад
That’s me lmao 🤣🥲😭
@presauced
@presauced 3 года назад
can relate
@demigreen6495
@demigreen6495 3 года назад
lmaooo same
@ccduo9771
@ccduo9771 3 года назад
Lol same
@TheBrickagon
@TheBrickagon 3 года назад
Mm, yes, dodecahedron... 🤔🤔
@chiaratesarova3463
@chiaratesarova3463 Год назад
We are so happy that you enjoyed Prague!!
@gknomics
@gknomics 6 месяцев назад
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.
@katieerickson8010
@katieerickson8010 3 года назад
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 года назад
Na
@OR-pv4iz
@OR-pv4iz 3 года назад
euridite
@GODHATESVANDAL
@GODHATESVANDAL 3 года назад
School wants kids dumb
@crr5699
@crr5699 3 года назад
Presentation is everything
@LacedWithOreos
@LacedWithOreos 3 года назад
Same! Seeing the 'rules' of science being broken down and applied in new, strange ways is seriously cool.
@hotpotato5587
@hotpotato5587 3 года назад
*Deep Inhale* I didn’t need an existential crisis about pentagons.
@Below-Zero.
@Below-Zero. 3 года назад
They solved it. Pay attention.
@LordLongHands
@LordLongHands 3 года назад
Roland Duson they made a joke, pay attention.
@Below-Zero.
@Below-Zero. 3 года назад
@@LordLongHands You're so boring and typical.
@r00b27
@r00b27 3 года назад
*Deep Inhale* Science says otherwise.
@r00b27
@r00b27 3 года назад
@@Below-Zero. it's more boring and typical to miss the joke my friend.
@PatrickStewarts
@PatrickStewarts Год назад
Someone did it! Found one shape that when put together never repeats!!
@DanielVCOliveira
@DanielVCOliveira Год назад
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.
@SemiMono
@SemiMono 3 года назад
11:49 "It's futile" No, it's many tiles.
@Rawi888
@Rawi888 3 года назад
I hate that I broke out laughing to this
@cruxofthecookie
@cruxofthecookie 3 года назад
Gah you beat me to it. Although I was going to go with "fu-tile".
@richardpark3054
@richardpark3054 3 года назад
How 'bout 'few-tile'?
@justsaus9897
@justsaus9897 3 года назад
💀💀💀
@geraldhng8774
@geraldhng8774 3 года назад
Fulltile.
@saadejaz8025
@saadejaz8025 3 года назад
*Something happens* Golden ratio: hello there
@sumans7620
@sumans7620 3 года назад
GENERAL RATIO! You are a bold one
@jmir1
@jmir1 3 года назад
This video's aspect ratio
@arnabbiswasalsodeep
@arnabbiswasalsodeep 3 года назад
e & pi together with phi, looking at the sofa constant
@sungazing59
@sungazing59 3 года назад
The angel from my nightmare
@loewoo9821
@loewoo9821 3 года назад
@@jmir1 Sadly not, would be sooo amazing if it was though
@dashpowers22
@dashpowers22 Год назад
Time to make an update!
@BakeBakePi
@BakeBakePi Год назад
an aperiodic monotile was just found!!!
@gamerman315
@gamerman315 Год назад
Wonder if he will do a follow up video!
@AFKBIN
@AFKBIN 3 года назад
One of the most interesting classes I ever had
@BruhMoment-ym2jb
@BruhMoment-ym2jb 3 года назад
Bruh
@stefanleu4278
@stefanleu4278 3 года назад
Is this a normal coment???
@AFKBIN
@AFKBIN 3 года назад
@@stefanleu4278 er yeah
@donuts3476
@donuts3476 3 года назад
@@AFKBIN lol
@vaughn1044
@vaughn1044 3 года назад
@@AFKBIN oh hi there
@abhishekshah11
@abhishekshah11 3 года назад
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 года назад
Yes bro
@sathvikmalgikar2842
@sathvikmalgikar2842 3 года назад
Vsauce and Veritasium . the two gems but what are gems????????????
@LouSaydus
@LouSaydus 3 года назад
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 года назад
@@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 года назад
I mean, these are all things that were briefly discussed in my physics BA, but yeah they're mostly math-y
@spookyowlsounds3666
@spookyowlsounds3666 5 месяцев назад
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.
@anoirbentanfous
@anoirbentanfous Год назад
This one of the best RU-vid videos ever made.
@IanChristopher
@IanChristopher 3 года назад
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 года назад
This guy gets it
@Orroset
@Orroset 3 года назад
I came here to comment something similar. But you said it best :D
@ishantyadav5532
@ishantyadav5532 3 года назад
You said the exact thing what everyone felt while watching this video but could not gather guts to accept.
@secularmonk5176
@secularmonk5176 3 года назад
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 года назад
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.
@DijaFix
@DijaFix 3 года назад
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 года назад
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 года назад
I thought this pattern looked familiar, that's pretty cool
@simonwesterlund2151
@simonwesterlund2151 3 года назад
I allways thought it did repeat on some level but now i know it doesn’t
@aversal
@aversal 3 года назад
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 года назад
The pattern doesn't repeat but it does contain the Fibonacci sequence which means there is an ORDER that is special.
@herisruns
@herisruns 9 месяцев назад
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
@Leibniz_28
@Leibniz_28 11 месяцев назад
I return to this video after knowing about the new Einstein Tile
@frankovich213
@frankovich213 3 года назад
Definition of a pattern: "It must repeat" Penrose Tiling: "Hold my rhombus"
@jesserobinson2948
@jesserobinson2948 3 года назад
😂
@bro8616
@bro8616 3 года назад
team sucks lol
@AnguishedMan
@AnguishedMan 3 года назад
Dont care didn’t ask
@smarthydra061
@smarthydra061 3 года назад
Lol 😂
@columbus8myhw
@columbus8myhw 3 года назад
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".
@jmir1
@jmir1 3 года назад
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 👍
@stefantieber7805
@stefantieber7805 3 года назад
Same here
@Luke-zw5el
@Luke-zw5el 3 года назад
No really?
@Blackn3t
@Blackn3t 3 года назад
I can confirm, nice catch :D
@chillbillg2465
@chillbillg2465 3 года назад
Yeah... same 🤥
@jmir1
@jmir1 3 года назад
@@Luke-zw5el yep :D 1748/1080=1,61852 (close enough)
@soupnoodles
@soupnoodles Год назад
Really well illustrated... worthwhile subscription
@joshuahancock2079
@joshuahancock2079 Год назад
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!
@gamechip06
@gamechip06 Год назад
Nerd
@hugobethancourt4191
@hugobethancourt4191 3 года назад
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!
@westernbrumby
@westernbrumby 3 года назад
I haven’t enjoyed a video of his for years
@monirkinder7184
@monirkinder7184 3 года назад
@@westernbrumby why so?
@tobiasrogers2724
@tobiasrogers2724 3 года назад
@@westernbrumby lol
@12Prakhar
@12Prakhar 3 года назад
“As a physics and mathematics major”
@No-pm4ss
@No-pm4ss 3 года назад
My mind was blown several times through the course of this video, well done.
@mr.knight8967
@mr.knight8967 3 года назад
Maths : QUESTION Factor high degree polynomial ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-D99PASilPrY.html See one time
@binashah3106
@binashah3106 3 года назад
true
@stevethea5250
@stevethea5250 3 года назад
@@mr.knight8967 IT'S FU-TILE 11:48
@atulit
@atulit 3 года назад
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 года назад
Go ahead and try the Banach-Tarski paradox over on Vsauce.
@watchimgo
@watchimgo Месяц назад
This video is especially inspiring! I really appreciate your work!
@cmapez
@cmapez 11 месяцев назад
There is now a 1 tile version
@XFz2nLDWo73x95
@XFz2nLDWo73x95 2 года назад
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 года назад
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 года назад
Is he a teacher or is he just someone like us
@Bubbl607
@Bubbl607 2 года назад
@@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 года назад
The man is a genius
@thegreatbritishcircusfeatu2531
@thegreatbritishcircusfeatu2531 2 года назад
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
@WhoEvenFilms
@WhoEvenFilms 3 года назад
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 года назад
Lol I keep thinking that too
@miki890098
@miki890098 3 года назад
I've just seen it lol
@Zhuk-zc8es
@Zhuk-zc8es 3 года назад
am i the only one who noticed a CGP Grey reference in this comment
@Zhuk-zc8es
@Zhuk-zc8es 3 года назад
@@pyrthero ok good
@WhoEvenFilms
@WhoEvenFilms 3 года назад
@@Zhuk-zc8es that's literally the whole joke
@ianfarquharson2933
@ianfarquharson2933 Год назад
truly amazing, the mysteries of geometric nature some parts of this video blew my mind away
@yanna5885
@yanna5885 3 года назад
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 года назад
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 года назад
My teacher just Googles up a website and tells us to copy it
@LisaBeergutHolst
@LisaBeergutHolst 3 года назад
Because school just exists to make you obedient lol
@gweltazlemartret6760
@gweltazlemartret6760 3 года назад
@@LisaBeergutHolst That's what teachers want you to believe.
@titaniummechanism3214
@titaniummechanism3214 3 года назад
My parents thought about renovating the upstairs bathroom, I think I just found the perfect floor tiles!
@BigDaddyWes
@BigDaddyWes 3 года назад
This video will start a trend, for sure.
@floreaciprian9742
@floreaciprian9742 3 года назад
imagine the poor guys having to set those tiles :))))
@TheSecondVersion
@TheSecondVersion 3 года назад
Perfect for when your bathroom is infinitely large and you hate reptition
@paulflute
@paulflute 3 года назад
yep.. i thought.. " that's our patio sorted " at one point
@SirAlbertoo
@SirAlbertoo 3 года назад
You guys have an upstairs bathroom 🙃
@thomblinn4731
@thomblinn4731 Год назад
Your obsessiveness is an inspirational. Thank you
@discord_non
@discord_non 7 месяцев назад
I gotta stop watching these but they are so good I can't!
@aidanharley243
@aidanharley243 3 года назад
IT'S THAT DAMNED GOLDEN RATIO AGAIN! IT'S INESCAPABLE!
@St3lla-MaR1s
@St3lla-MaR1s 3 года назад
MATH IS A JOJO REFERENCE.
@field5758
@field5758 3 года назад
Must be some geometric magic
@snackboxone364
@snackboxone364 3 года назад
The only non jojo reference in the world is... OTHER ANIMES
@thesovietgascan
@thesovietgascan 3 года назад
@@St3lla-MaR1s exactly
@segmentsAndCurves
@segmentsAndCurves 3 года назад
@@field5758 The magic of 5-fold symmetry.
@starfox5165
@starfox5165 3 года назад
Students: Learning shapes is for kids! Shapes: *•-•*
@vorshack8968
@vorshack8968 3 года назад
I don't understand why you couldn't have written this out as a sentence instead of a exhausted meme format that is renowned for being a like farm.
@MechanicalApples
@MechanicalApples 3 года назад
Vorshack uhh... what?
@100wyyy
@100wyyy 3 года назад
Lol
@exorcistoreo6057
@exorcistoreo6057 3 года назад
Vorshack wtf
@AverageJoe610
@AverageJoe610 3 года назад
Vorshack ar u oke
@coco0789
@coco0789 Год назад
I’ve watched this like 12 times. This video still breaks my brain.
@jameskling9400
@jameskling9400 Год назад
Time for an update...both for the Einstein tile, and for the LastPass sponsor. lolol
@DinoQuintana
@DinoQuintana 3 года назад
11:49 "It's futile." No man, it's very many tile.
@ameyagupta7285
@ameyagupta7285 3 года назад
humorous joke my good man
@DittrichCo
@DittrichCo 3 года назад
Dad?
@jaypaans3471
@jaypaans3471 3 года назад
It's infinitile?
@inifin8
@inifin8 3 года назад
It's Tilenol.
@SwaroopNarasimhaK
@SwaroopNarasimhaK 3 года назад
All I need is some tiles on my kitchen wall with a non repeating pattern
@calholli
@calholli 3 года назад
Now you know how.. You'll just have to decide your 2 base shapes.
@eval_is_evil
@eval_is_evil 3 года назад
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 года назад
​@@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 года назад
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 года назад
😂😂😂😂
@omegalul4546
@omegalul4546 Год назад
You are one of or even THE best science channel
@jammyjimmy666
@jammyjimmy666 Год назад
I love videos like this with these titles when it visibly repeats in the thumbnail
@piyushpatel2836
@piyushpatel2836 3 года назад
This is like an insane amount of research and brain in one video of RU-vid, especially in this time!
@jacobshirley3457
@jacobshirley3457 3 года назад
Welcome to the channel.
@piyushpatel2836
@piyushpatel2836 3 года назад
@@jacobshirley3457 it's not what you are thinking, I'm seeing veritesium's content for years but this video's research and presentation was like on another level.
@jacobshirley3457
@jacobshirley3457 3 года назад
@@piyushpatel2836 Have you watched the recent videos?
@douglasshouganai2516
@douglasshouganai2516 3 года назад
someone should start a home renovation company called Penrose Tiling Company. specialize in bathroom tiling, tile flooring, and roofing or something
@drumnbreakz
@drumnbreakz 3 года назад
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 года назад
@UCB7yFRL1a7G4b18-GynCNJg hehe, nice. Thanks for the heads up! ;)
@mihan2d
@mihan2d 3 года назад
"Penrose Tiling. Making people high without drugs!"
@tunigkhan4942
@tunigkhan4942 3 года назад
@@mihan2d LMFAO
@ad_exodus
@ad_exodus 3 года назад
there is areason there isnt one, it wouldnt work
@alyssatipton5080
@alyssatipton5080 Месяц назад
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
@nicularstar
@nicularstar 11 месяцев назад
Update the video, new aperiodic tile just dropped
@Cardgames4children
@Cardgames4children 3 года назад
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 года назад
Math is awsome and beautiful and everybody likes it! Haters gonna hate.
@rich.wishes
@rich.wishes 3 года назад
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
@rick2517
@rick2517 2 года назад
imagine if keppler was resurrected, he must be so frustrated that he almost figure it out
@juanbomfim22
@juanbomfim22 2 года назад
No, he'd be very proud because he was in the right path
@Idiocy
@Idiocy 2 года назад
Love the profile picture
@alicorn3924
@alicorn3924 2 года назад
@Scom Tott nah nah, it's: Jowaness Keiper. Because why not?
@ryangraham6878
@ryangraham6878 2 года назад
I think he would be proud. Because he WAS right!
@lordbanetheplayer8844
@lordbanetheplayer8844 2 года назад
@@ryangraham6878 Still is right.
@barbiincognito13
@barbiincognito13 Год назад
"But that didn't stop Keplar from trying" made me smile, thank you!
@deaponn3069
@deaponn3069 Год назад
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
@digbick6917
@digbick6917 3 года назад
Class today we'll be learning about shapes Class: LOL shapes are for kids Shapes:
@zemtex2323
@zemtex2323 3 года назад
😂
@tausiftaha12
@tausiftaha12 3 года назад
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 года назад
TT12- Roblox and more Our most sincere apologies, grandfather!
@misslea-idv4734
@misslea-idv4734 3 года назад
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 года назад
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.
@bannor99
@bannor99 3 года назад
11:49 "it's few-tile" Well played
@veritasium
@veritasium 3 года назад
If only I were this clever
@Alefen
@Alefen 2 года назад
@@veritasium Hi!
@arielmorandy8189
@arielmorandy8189 Год назад
i watched it three times over one year, still amazing and it get richer..
@nootnootimaboot8798
@nootnootimaboot8798 Год назад
i used to play with those penrose tiles with the arcs! it's actually really satisfying to know now that the pattern Can't repeat as expected lol
@yannisconstantinides7767
@yannisconstantinides7767 3 года назад
For people who love geometry, this is just absolutely inspiring.
@Ludifant
@Ludifant 3 года назад
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 года назад
Nah man, I keep dying in geometry.😤
@jack-gf6jw
@jack-gf6jw 3 года назад
For people who hate* (me)
@sylvains.1404
@sylvains.1404 3 года назад
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 года назад
Geometry is for little kids
@ill_insect
@ill_insect 2 года назад
Honestly, this is quite entertaining. I didn’t expect patterns to spark my interest today-
@JuiCe_W_999
@JuiCe_W_999 2 года назад
Exaclty
@yourfunniboi423
@yourfunniboi423 2 года назад
Neither than i but if you like learning but funni watch sam 'o nella academy
@riveraklan3072
@riveraklan3072 2 года назад
Neither did I but honestly I never know anymore yesterday I was watching some guy make a unpickable lock
@shatteredmusic5218
@shatteredmusic5218 2 года назад
Well I is 3 am so
@savannahgunter5353
@savannahgunter5353 2 года назад
Imagine being someone like me, finding them interesting during everyday life
@ThatJyJade
@ThatJyJade 6 месяцев назад
I swear to god veritasium always has the most interesting titles
@telotawa
@telotawa 11 месяцев назад
i am so so happy about the hat and turtle tiles i have been waiting for them for years
@haydensmolik222
@haydensmolik222 3 года назад
I came here to look for a cool tiling pattern for my kitchen I have now left with a degree for geometry
@nekomimitheiii6091
@nekomimitheiii6091 3 года назад
i think i just proved my teacher wrong and now teach geometry to the french
@fssamiel1156
@fssamiel1156 3 года назад
Aarav swamy what
@akkti_
@akkti_ 3 года назад
@@nekomimitheiii6091 bro?
@RoulDukeGonzo
@RoulDukeGonzo 3 года назад
How big is your kitchen?
@sophiaflanigan5866
@sophiaflanigan5866 3 года назад
Lmao
@PeterSFam
@PeterSFam 3 года назад
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 года назад
i mean, there is a pattern, it's just an infinite hierarchy
@rachelLadyD
@rachelLadyD 2 года назад
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 года назад
im te kind of person to actually find the pattern
@gabrielabatista6016
@gabrielabatista6016 2 года назад
I can kinda see matching points, almost like symmetry
@The_Biologist27
@The_Biologist27 2 года назад
@@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
@kostaad
@kostaad 11 месяцев назад
Einstein tile has been discovered that allows aperiodic tiling with just 1 shape.
@frozenflava
@frozenflava 11 месяцев назад
Any videos with link? Very curious
@thestarseeker8196
@thestarseeker8196 Год назад
The cannonball solution is one of those things everyone wonders about for a second and then immediately forgets about UNTIL watching this video and learn something incredibly interesting.
@Jamandbutter0
@Jamandbutter0 3 года назад
if it doesnt repeat does it even classify as a "pattern" anymore?
@hosungryn9450
@hosungryn9450 2 года назад
you ruined everything, stop you have much power
@santiago_moralesduarte
@santiago_moralesduarte 2 года назад
It does because it follows certain rules
@alphonsobutlakiv789
@alphonsobutlakiv789 2 года назад
You might be right, might just be like a lattice or maybe just a grid? Don't know
@onlookerofthings6029
@onlookerofthings6029 2 года назад
Sometimes the fact that nothing makes a pattern is a pattern in itself
@specsamhain_909
@specsamhain_909 2 года назад
@@santiago_moralesduarte tell me, what are the rules
@VPZealouZ
@VPZealouZ 2 года назад
Saving this to my “don’t watch while you’re high” playlist
@1TieDye1
@1TieDye1 2 года назад
Saving this to my “watch while you’re high” playlist Thank you for the idea of that playlist
@ash.mystic
@ash.mystic 2 года назад
@@1TieDye1 I concur 😁 Even watching this one sober put me in that state a bit ✨
@KillerKilometers
@KillerKilometers 2 года назад
I love that you actually made a playlist just for this vid, Yes, i checked haha
@carmengogeidnas9670
@carmengogeidnas9670 2 года назад
Too late. I just learned a lot about the fabric of spacetime.
@MelodyMaker716
@MelodyMaker716 2 года назад
Haha, 420 likes :D
@magentablood8263
@magentablood8263 Год назад
12:36 THE GOLDEN RATIO STRIKES AGAIN! Ever since I learned about the golden ratio, it just inexplicably shows up everywhere. It's truly amazing how so much of our reality is connected by this simple ratio.
@mrnecrotic
@mrnecrotic Год назад
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
@carykh
@carykh 3 года назад
Whoa, the animations at 7:30 really helped me understand Penrose tiling better than anything I've seen before :O
@nostalgia1036
@nostalgia1036 3 года назад
well hello carykh nice to see u here
@franchufranchu119
@franchufranchu119 3 года назад
Cary Kite-piece Hobbyist
@phlaxyr
@phlaxyr 3 года назад
Hey Cary! You should also check out jan Misali's video on the topic of all the regular polyhedra, including the Kepler-Poinsot solids, if you haven't already. He's in incredibly talented content creator that also does conlangs.
@calebyao.
@calebyao. 3 года назад
Yo hi cary
@txtp
@txtp 3 года назад
Hey Cary!
@andromedagalaxy7717
@andromedagalaxy7717 3 года назад
🎶When a grid's misaligned with another behind That's a moiré🎶
@JohnnyArtPavlou
@JohnnyArtPavlou 3 года назад
🤣😂😅☺️😊
@zzzetsulive
@zzzetsulive 3 года назад
And the bit raaaaate dies that’s a moire
@RottenLegacy
@RottenLegacy 3 года назад
When you've had too much wine that's a moiré *_bells-_*
@druze3210
@druze3210 3 года назад
*bells ring*
@DrumApe
@DrumApe 3 года назад
that's really smart!
@KabuMontasaurios
@KabuMontasaurios Месяц назад
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
@hangmanisaac7969
@hangmanisaac7969 8 месяцев назад
One of the best videos out there
@boxedbygen
@boxedbygen 3 года назад
Imagine proving your teachers prideful theory wrong. I’d just be like “only A’s and I won’t tell the press”
@seithseith
@seithseith 3 года назад
We can't have half-an A, press.
@genericbee1902
@genericbee1902 3 года назад
I don't think mathematicians are the type to be ashamed of being wrong. If I were the teacher and you just said that, I would tell the press
@StarNumbers
@StarNumbers 3 года назад
Teachers are wrong 90+% of the time if they have to follow the scientific method.
@bawbsmith
@bawbsmith 3 года назад
Are you talking about Wang? Maybe you should learn the difference between conjecture and theory. No one would (or at least should) be upset that their conjecture was proven false.
@erickthunder4083
@erickthunder4083 3 года назад
Why do we watch
Далее
The Insane Math Of Knot Theory
35:21
Просмотров 7 млн
The Fastest Maze-Solving Competition On Earth
25:22
Просмотров 18 млн
Barriga de grávida aconchegante? 🤔💡
00:10
Просмотров 1,8 млн
ЭКОНОРМЫ НЕ СПАСУТ ЭКОЛОГИЮ
1:02:19
Perfect Shapes in Higher Dimensions - Numberphile
26:19
How Japanese Masters Turn Sand Into Swords
25:27
Просмотров 7 млн
The Surprising Secret of Synchronization
20:58
Просмотров 25 млн
Why It Was Almost Impossible to Make the Blue LED
33:45
The Banach-Tarski Paradox
24:14
Просмотров 43 млн
JavaScript Fighting Game Tutorial with HTML Canvas
3:56:20
These Pools Help Support Half The People On Earth
19:25