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 ITload)
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
The Infinite Pattern That Never Repeats
Pubblicato il 30 set 2020
Commenti
Veritasium
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
Wtf does that mean
Totally a Grumman F-14 Tomcat
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
@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
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
I am from Czech republic 👌
K J
"daddy, what do you do?"
"I look at shapes"
"That sounds easy"
"Well I also look at colours!"
K J
This entire video is a mindfuck
Make Money Now
As always, quality videos right here!
LMAO
"A material that wasnt supposed to exist."
Material:exists
Everyone: :0
Madd Max
9:35 was mind-blowing 🤯
zeroling ping
The kindly iron lately excite because fall inversely label against a abhorrent cellar. smart, ludicrous basketball
Anaya Weick
So...The way I’ve always seen it is this: If you gave an immortal monkey a typewriter and it pressed keys at random, it would eventually type all of Shakespeare’s works in the order he wrote them. That is known as the Infinite Monkey theorem. However, if we assume it takes the monkey an infinite amount of time, then to do it twice it would take two infinite amounts of time. However, adding something to infinity will make it equal infinity because it *is* infinity. So that means the immortal monkey will type all of Shakespeare’s works in order an infinite amount of times. That’s like this and like pi: If given an infinite number like pi, the number 3 will repeat an infinite number of times. 314 will repeat an infinite number of times. 31415926535 will repeat an infinite number of times. Pi will repeat an infinite number of times inside the digits because it is an infinite number. That means that the infinite pattern will repeat an infinite number of times within itself just due to it being infinite.
However, I’m sure I made a wrongful assumption somewhere and that’s why I’m commenting. Can someone please explain to me where I went wrong?
Anaya Weick
@fewwiggle Thanks so much!
fewwiggle
I don't think you can "nest" the infinite number Pi within the infinite number Pi You'd be "stealing" digits from the root/prime Pi, so that the nested Pi is only a partial Pi -- IOW, every digit of your embedded Pi is part of the scaffolding of the root/prime Pi Your monkey analogy thing works, but that is because it is a finite work (not an infinite work) embedded within infinity.
Aiden Owensby
The hexagon is the bestagon.
Hat Boi
i don't understand what you mean when you say it doesn't repeat
Gus Nowrojee
You suck at clutching!
Bruno Afonso
At 09:59 is it just me or does that look a lot like a Paris city map with the large avenues and even larger roundabouts?...
Gus Nowrojee
NO SKILL!
Dissociated Women Incorporated
I'm not quite sure why, but the section between 11:19 and 12:27 made me extremely nauseous. I'm not normally prone to motion sickness but that's what it felt like, an excessive dizziness as if I were drunk. I'm not leaving this comment to complain, I think it's weirdly interesting that I've been fine for decades with 3D movies, FPS video games, actual car travel, VR, and yet these simple animations made me feel like I was spinning.
NASA Mars Mission
As a famous stick man once said: hexagons are bestagons
cyan /among us
"Hexagons are the Bestagons"
-CGP Grey
Alfredo 2
where did you get the tiles from?
Bill Huston Podcast
Has anyone considered implementing Conway's Game of Life on a Penrose plane?
Snowball God
my man unlocked golden spin
Mo. T End
When you come to the comment section looking for some sort of explanation and reinforcement on this mind f***ing subject but everyone is commenting meme worth of jokes. Done with the internet for today
Jean Strong
I only have mild ocd. Had. Had. Now it's gone into full blown paranoid OCD LMAO
The Rock
The grouchy single essentially stitch because hardhat joly describe plus a abortive door. noisy, same scanner
Cool videos and crap
I’ll make it repeat
Gemfyre
Maths man. I have two colouring books full of patterns like these and other mathy patterns. Some are fun to colour, some are just frustrating!
Matthew G
last pass? iphone has a feature for that already
Jack Skywalker
Vsauce
xyz XYZ
I think, thes tow parts could be a Pyramide without the midle line. One is from front Perspektive and the other from the back. But the bottm is still missing
Someone
You can't use math to figure out exactly how many different patterns there are though??
fewwiggle
I believe they did, and the answer was "exactly" infinite many
love anime
Eesh looks kinda like baby yoda
Dennis Newson-Craig
WOW.....
Today 11
So the infinite pattern is perfectly imperfect
Priyanshu Baranwal
Who understood any of this
Soner Iftar
we can see real you untill this video. you the crazy quasi youtuber
GraveX
But just how are the people of old so smart .. Their intelligence is not their own .. Someone or something told it to them .. The devil ~ 👿👿👿
gloria sanders
The imaginary fifth simultaneously punish because bread eventually snore between a superficial court. bouncy, spiffy body
Boban Chacko
Imagine a mansion tiled with pieces like that
The tilers would be crippled at the end
N I
This seems like universe.....too weird.
Surfer Frankrin
Platonic solids, just DND dice
Savaville
I zoned out lol.
Chris Roberts
My architect thought it was odd when I asked him to include certain geometries in our new house and he wouldn't go through with the whole plan. I still managed to slip the selenium cores into the steelwork though.
The above is what watching this video made my brain come up with. I think it was to try and distract me from looking for somewhere to buy Penrose tiles.
gloria sanders
The broken millimeter internationally appear because celsius adversely prefer without a questionable vest. political, wiggly act
Zaku
15:00 I've read through Steinhardt's "The Second Kind of Impossible" prior to this, so I cracked a huge smile when I heard this section. Quasicrystals are so fascinating to me, and while I knew this video would cover Penrose tilings, I definitely wasn't expecting for this to go the extra mile. Very enjoyable watch, I can tell you did research on these beautiful results from symmetry.
Tanya Samanta
I love your videos! Such interesting content
Oztekin219
Well this is the first video from you I can't understand no matter how much I think about it 🤪
Cataria Kitten YT
This is so interesting, but so confusing at the same time. I have never been so interested in something I might never understand in my entire life ;-;
Andrew Altman
im only 9 and i understand this
Utube is karen
Interesting pattern that will eventually repeat if you just keep going >_< the “infinite” is a lie, you can’t lay an infinite thing on your floor
Narancs ember
It's getting really VSausy here
K Gaming
Good speech in the end
Seth Alvo's Grandma
This video broke My Brain
AahIJustAteYT
Can i get an uh... robert burger?
Seth Alvo's Grandma
Make cgp gray watch this
jonki leshi
The helpful reindeer dewailly wait because layer dimensionally stitch across a obsequious beast. overjoyed, high-pitched tank
Hermit Crafter
Well he never denied Pluto being a planet...
AlexanderB.
18:18 what are the "vertices" that he talks about?
fewwiggle
I believe he means where the pieces of the quasi-crystal come together at "points" (as opposed to at their faces or their edges)
Michel.B
By definition , crystals are made of replication of the same pattern in a periodically fashion. This is not a crystal, but a quasi-crystal..
Aviishere Blockcraft
Who else thinks this should be a Vsauce2 video?
Zeditha GamingDragon
There's a beautiful correlation between the mathematitians reducing the number of tiles necessary to tile the plane aperiodically, and speedrunners reducing how many items are needed to beat games. How few things are needed? Is there a way to simplify this? What tricks could be useful? Humans are all so similar, even when we're very different
Héctor Villa Fernández
As sidenote, the main reason that quasicrystals where mocked at first, it was because most critics (mainly chemists) pointed out that no natural quasicrystal was found, only synthetic ones. Thus weakening his hypothesis, since they were seen as unprobable human artifact that did not produce materials of a big enough size (then, were only a few molecules in size).
Only a few years laters, when some geologists found that impactites (minerals produced by the massive pressure and temperature increase produced in the landing of a meteorite) were better modelled as non-periodic quasicrystals, than "conventional" crystals, his hypothesis started to be seen as valuable, since this impactites were evidence that they could extend millions of molecules without periodically repeating themselves, and that they existed without human intervention.
__
In the thumbnail alone, I counted at least 4 repetitions.
Even in the opening frame, I see one. Focusing on the 5 slice circles, near the top left is one the goes 'green, red, blue, red, blue', then that same circle shows up near the bottom right.
Václav Zámečník
I live in check republick
Chelli
9:59 this hurts my eyes
Power_Girl_89
19:36
(ended on a sad note)
AD: dO yOu WaNt To PlAy SoMe ViDeO GaMeS?!?!?
JoJoelle
so... you’re saying the pentagon is the answer to the universe..?
JoJoelle
my tiny brain couldn’t handle this
Neil Mali
Me at 9:23- stop trying to hypnotize me 😤
ItsEnchantedApple0
9:16 WHY DID I WATCH TO SEE SOMETHING CENSOR ITSELF
ItsEnchantedApple0
Hmm, So It Was 3 Months Ago Since I Saw This Video... Worth Watching I Guess
Edit: I Change My Mind, This Tricked Me Into A Class >:(
SaturnClouds
I’m seeing those spongebob starfish things you’d see in the background
QuieroKitty
8:07 Why is that “almost” 5-fold symmetry? Isn’t it exactly that?
Brian Hudiono
Veritasium: Infinite pattern that never repeats
My geography teacher making my test: *WRITE THAT DOWN, WRITE THAT DOWN*
Ray Preseau
......yep, that's what i was thinking along.🙄
Iwitrag
Lastpass had been hacked in the past, why should I provide my sensitive data to that cloud service?
Aditya Tyagi
Cool video. Just a little FYI, they are called Hemachandra Numbers who discovered this sequence much sooner than Fibonacci.
Lunargal 624
So, wanted to give you some credit. I’m using the kites and darts pattern to tile my bathroom when I remodel it. The suns, stars, and butterflies look beautiful and the thought of the tiles being their own pattern and can never be repeated astonishes me!
the peanut gallery
if it never repeats then it's not a pattern now is it?
Larry Arthauer
lol
mosirskii skii
Kifflom
Je Suis Ce Que Je Suis
"Kepler is most famous for figuring out that planetary orbits are ellipses." - Except they're not ellipses, they're spiral.
Mop Mop
HEXAGONS ARE THE BESTAGONS!!!
Pedro Lucas
I started watching bodybuilders workouts, then end up here 😁
Varalakshmi K
Aayush Japanese CRO Japanese CRO Japanese
Varalakshmi K
Vi bitonic solid a metric guard there are 6 the bubble the best one is vi Onyx
Varalakshmi K
5 Pathan excellent
Varalakshmi K
NhvfgyguuhuhjkïÏ ffgtx yyjojhjubyy and success of earths is a octagonal space with lyrics that make up the biggest numbers in history and Sheikh call girl mother god megagon
Erik Footz
My last braincell likes to play with TNT...
Antoine LIANG
Wait, isn't it impossible for infinity to not repeat?
ur mom gey
i was like damn that looks fake untill i saw...
Yvonne Lecobo-an
I don’t understand anything....
ZakarooNetwork
4:39 that 5 Fold pattern in on ancient Indian Hindu temples.
Angry_Flan
man, this video allowed me to get that in infinity we all occur and that infinity really is infinite
Abeth Stambaugh
you know youre a nerd when you both find this video cool and recognize the icosohedrons as being the same shape as a d20
JASPER LIMPYO
Hexagon is the bestagon
STobacco
i mean we all know, Hexagon is the bes-tagon
Oliver StJulien
The teeny-tiny discussion customarily bare because day iteratively depend sans a uneven dungeon. chief, blue seat
Seth Euan Castillo
Me watching and acting like i understand a single thing: ah isee
Carwin Byington
That's an oxymoron. How can anything be a pattern if it doesn't repeat?
Fif Gallag
watching that first part after jan Misali's "there are 48 regular polyhedra" hits different
AlphonsVlad
മലയാളി പൊളി അല്ലെ
Sushilord 715
N O
Nash Koryta
I learned more from thia than i did in school in the last month