The Infinite Pattern That Never Repeats

  वेळा पाहिला 8,042,692




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:
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 MRpost)
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

Veritasium महिन्यापूर्वी
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”
jim west
jim west 11 तासांपूर्वी
A nobel prize for pseudoscience.. 🥱
Rondo2ooo 4 दिवसांपूर्वी
I have only a very basic and spotted understanding about general and special relativity, but it never stops astonishing me how Einstein was able to abstract its content theoretically, which over decades stepwise is confirmed.
jim west
jim west 6 दिवसांपूर्वी
General pseudoscience activity 😆
BLAIR M Schirmer
BLAIR M Schirmer 9 दिवसांपूर्वी
I wonder if, writ large, this kind of pattern might underlie an infinite universe such that despite present beliefs, repetition of structure is not inevitable--and that, eventually, there is _not_ another you.
JM 10 दिवसांपूर्वी
@veritasium Can you please make a video about how you make your videos? I'm pretty sure a lot of research goes into this along with a lot of work with the cinematics, animations etc and how to put that all together. The scientific component of it and the filming component and more. Pretty sure a lot of us would like to know how much work, thought and time is put into each of your videos. Thank you for making them and sparking my interest in physics as a medical student! :D
Peter Evans
Peter Evans तासापूर्वी
Makes perfect sense to me, when I start 7th grade geometry next year I hope they talk more bout this.
Miles Andrews
Miles Andrews तासापूर्वी
12:28 - 15:04 My favorite number has been five for a long time, and I've just found another reason to like the number five :) It's that kind of math that I'm a fan of, right there.
Kristen Gravelle
Kristen Gravelle 2 तासांपूर्वी
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”
Nevaeh Serena
Nevaeh Serena 6 तासांपूर्वी
"Honey, I'll be ready for your sister's wedding when I finish this tiling."
Richard Garcia
Richard Garcia 7 तासांपूर्वी
Honeycomb cereal sales increase exponentially
moris preciosa
moris preciosa 8 तासांपूर्वी
"Honey, I'll be ready for your sister's wedding when I finish this tiling."
Deleted 9 तासांपूर्वी
so just some random blocks?
Robert Olszewski
Robert Olszewski 12 तासांपूर्वी
I just wonder what is the practical application for that obviously, man made problem. I understand we are pattern seeking entites but this is going too far with your imagination. Why we need these tiles in any pattern? I like Penrose works but this is not even usefull for anything. Any toughts?
deepstrasz 13 तासांपूर्वी
That was some good English. Mr. Kepler.
Dikshit Khanal
Dikshit Khanal 13 तासांपूर्वी
it's not a pattern if it doesn't repeat. So, there could never be a pattern that doesn't repeat. I am going with the literal meaning of pattern here
Curt Coller
Curt Coller 14 तासांपूर्वी
You just proved the main stream physicists wrong. "In an infinite universe things that happen here must happen an infinite amount of times in other places". WRONG. They say that because their math is limited to finite amounts and because they (like everybody) cannot imagine or "grasp" infinity. Therefore - we will continue the wrong way we have chosen. It's sad.
Teacher inThailan
Teacher inThailan 15 तासांपूर्वी
My mind is blown!!!! Awesome! Excellently presented too. Thank you so much!
Blank Space
Blank Space 16 तासांपूर्वी
If it's infinite in scope, that means ALL possible combinations will happen an infinite number of times. IT WILL REPEAT, EVENTUALLY!!!!
Tapan Saraph
Tapan Saraph 17 तासांपूर्वी
Beautiful, but my eyes hurt!
Владимир Гавриков
Владимир Гавриков 22 तासांपूर्वी
Can you indicate the sources where you got the information from? The video is very cool and informative, at the university I want to write a mini article on this topic on one subject and I would like to take the video as a basis, but here's the problem with the sources, I can't point out a link to the video in the literature)) I would be very grateful
e 23 तासांपूर्वी
answer at 08:00 thank me later
Hanif Power
Hanif Power दिवसापूर्वी
after watch this : yup i am still stupid..
Cathy Sherrill
Cathy Sherrill दिवसापूर्वी
I wish I would have found this guy sooner
TheKrensada दिवसापूर्वी
I know what pattern Im putting on my bathroom floor when I remodel.
hiddentoad दिवसापूर्वी
me at 5:13: nO NO DONT--
Just ANTONIA दिवसापूर्वी
Me: sees title Me: it’s not a pattern then
SIMON PEIRIS दिवसापूर्वी
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”
KevCraft दिवसापूर्वी
My brain hurts Thanks...
xbmwcx दिवसापूर्वी
Would it be possible to utilize these patterns for password or access technology applications for say companies like your sponsor LastPass?
Ronin दिवसापूर्वी
somewhat obvious but Im surprised he didnt touch on the 3 dimensional nature of the tiles, ie: the 2d tiles are perspectives of rotated 3d objects (some being platonic solids). The first presented 8:49 is a cube and/or rhombus cube, as if MC Escher did a Necker cube study. The darts and kites are a double pyramid, though not allowed to align in that shape for sake of aperiodic-ness.
Randalmcdaniel दिवसापूर्वी
you underestimate the size of infinity if you think it wont ever repeat. If time is infinite then there is a 100% chance that there will be somebody named billybobjoe64646 in real life some day
Randalmcdaniel दिवसापूर्वी
@hiddentoad guess what? you wrong
hiddentoad दिवसापूर्वी
@Randalmcdaniel obviously, infinite is larger than anything. however, there are theoretical ways to prove things don't repeat, and if i saw a trend stay true septillions of times, i would believe it to be constant unless proven otherwise.
Randalmcdaniel दिवसापूर्वी
@hiddentoad infinite is literally infinite bigger than that
hiddentoad दिवसापूर्वी
this stuff can be simulated by computer programs for actual septillions of times. i myself, on my macbook air, have written a python program that simulates it 1,000,000,000 times. these people have supercomputers. so yeah, it's not infinity, but if something holds true that many times, we can assume it to be fact.
Alkis05 दिवसापूर्वी
Isn't it a charm that the guy who took aperiodic tiling to a whole new level by using five fold symmetry is called... Pen-Rose?
UnknownCleric2420 दिवसापूर्वी
buffbabyoda दिवसापूर्वी
I get this feeling when I see videos mentioning the golden ratio and Fibonacci sequence and all this stuff that's way above my level. It really puts you in your place, makes you realize how small you are.
buffbabyoda दिवसापूर्वी
Yeah, this is big brain time.
Daniel Gonzalez
Daniel Gonzalez दिवसापूर्वी
¿Y en español? Es mucha información, muy interesante y mi traductor personal tiene problemas para seguir tus pasos. ¡Gran video!
Charles Oliveira
Charles Oliveira दिवसापूर्वी
Man, I hit that like button when I saw your smile when taking that box full of lase-cut tiles :) I can see that you were very happy with it
keiharris332 दिवसापूर्वी
12:05 Anyone remember the book magic eye? Using the technique here, you can instantly see the differences and it is astounding how they form a pattern onto themselves! Give it a try! Cross your eyes slightly or soft focus to give yourself double vision and the resulting third pattern between them will be very eye popping!
OrangeManBad.MP4 दिवसापूर्वी
The thumbnail has multiple repeating patterns. I’m not even going to watch, just wanted to point this out. Bye
Marivic Espinosa
Marivic Espinosa 2 दिवसांपूर्वी
Fun fact: If you divide ANYTHING by 0, there is *No answer, not even 0*
Cynthia Autry
Cynthia Autry 2 दिवसांपूर्वी
Imagine seeing the mind-boggling, mathematical precision that even unthinking, unfeeling atoms display in the way they crystallize with each other and thinking it all came about by random, unguided, unintelligent chance and somehow evolved out of chaos over billions of years. In light of the mathematical precision of the universe, it's preposterous.
harlemhornet 2 दिवसांपूर्वी
Ya.. I dont get it
Aaannndddrrreeeww rrroooddd
Aaannndddrrreeeww rrroooddd 2 दिवसांपूर्वी
i just came from hexagons are the bestagons, so the cannonball thing was a pretty cool coincidence.
Skiddla 2 दिवसांपूर्वी
some lame dining room tiling robot ai goes rogue and tiles across galaxies this never ending pattern
barrett hendrix
barrett hendrix 2 दिवसांपूर्वी
the thing is, my family is building a house, and im gonna ask my dad to get penrose tiling for the parking lot
Elite Enayet
Elite Enayet 2 दिवसांपूर्वी
just writing my name, Enayet Ullah Elite
nachtigahl 2 दिवसांपूर्वी
ok but what's the equations to generate it mathematically
Anand Acharya
Anand Acharya 2 दिवसांपूर्वी
Mathematics; one thing that connects not only numbers, but also all kinds of science.
Hans Chiu
Hans Chiu 3 दिवसांपूर्वी
The oranges at 2:29 stacks wrong and roll apart naturally 😅
Joey Yang
Joey Yang 3 दिवसांपूर्वी
I'm here from CGP Grey after joining the Hexagon cult
Rambling Rainbows
Rambling Rainbows 3 दिवसांपूर्वी
hexagons are the bestagons
DakiLetsPlay 3 दिवसांपूर्वी
Perfectly imperfect
Misha B Abernathy
Misha B Abernathy 3 दिवसांपूर्वी
Make it stinky
MoonFlux 3 दिवसांपूर्वी
1:20 *D&D Pun here*
Cain Cybuck
Cain Cybuck 3 दिवसांपूर्वी
Hexagon is the bestagon
Conrad Smith
Conrad Smith 3 दिवसांपूर्वी
mind blown
Payne 96
Payne 96 3 दिवसांपूर्वी
Don't worry people, once JoJo Part 7 gets animated we are all going to be masters in understanding the Golden Ratio!
S&S AMERICA 3 दिवसांपूर्वी
I would love to see a video where you & CGP Grey debate tiles (hexagons vs Pentagons) kinda like that laminar vs turbulent flow debate. edit: or maybe a podcast so all of the knowledge is in one place
losa angelas
losa angelas 3 दिवसांपूर्वी
"The most 'fiveish' constant of all" nice neologism.
the Best there Is
the Best there Is 3 दिवसांपूर्वी
I almost never knew what you were talking about throughout the video, but I was somehow still interested enough to watch the entire thing lol
Vorname Nachname
Vorname Nachname 3 दिवसांपूर्वी
You are a great Person !
Hank Jay
Hank Jay 3 दिवसांपूर्वी
Honeycomb cereal sales increase exponentially
HypersonicMonkeyBrains 3 दिवसांपूर्वी
Periodically means what???
Aladdin 3 दिवसांपूर्वी
When you're halfway through this video and you struggle to understand these mathematical problems that anyone can understand, but nobody has been able to solve, so you just keep watching anyway for the pleasure of knowledge and curiosity.
C A 3 दिवसांपूर्वी
This is why I love mathematics. Everything is so perfectly connected, ie the golden ratio, the fibonacci sequence, penrose tiles, etc. It's exciting to delve deeper and find out why these connections exist. Great video as always.
B Rumm
B Rumm 3 दिवसांपूर्वी
While watching this I got two ads 5 seconds apart. Something's wrong with MRpost.
Kenneth Zacharias
Kenneth Zacharias 4 दिवसांपूर्वी
I'm getting goosebumps watching this
Sam Shoja
Sam Shoja 4 दिवसांपूर्वी
Pentagonal pattern can be repeatable. Here is the TED ed video on Islamic architecture :
yjy Pyyj
yjy Pyyj 4 दिवसांपूर्वी
the thing is, my family is building a house, and im gonna ask my dad to get penrose tiling for the parking lot
Hya Shane Tadlas Tejume
Hya Shane Tadlas Tejume 4 दिवसांपूर्वी
I think 9 sides is the strongest of all
RoseArachnid 4 दिवसांपूर्वी
Hexagons Are the bestagons
Sherman Potts
Sherman Potts 4 दिवसांपूर्वी
3:50 or in CPG gray we say "hexagons are the bestagons".
RealLifeSience 4 दिवसांपूर्वी
Did anyone else notice that the aspect ratio of this video is the golden ratio? 🤔 (3496/2160≈1.6185)
Phantom Specter
Phantom Specter 4 दिवसांपूर्वी
could you create an aperiodic tiling with one shape like a trapezoid?
oilfortheworld 4 दिवसांपूर्वी
9:16 shut up and take my money or my mother but give this to me :)
Stibiumowl 4 दिवसांपूर्वी
"The most 'fiveish' constant of all" nice neologism.
Stretch 4 दिवसांपूर्वी
The infinitude of the Penrose tiling seems like an infinite depth, each layer of it presenting a different salience to the eyes perceiving it 2-dimensionally.
WillBG 4 दिवसांपूर्वी
Very interesting, but way too many commercials. Am I missing a way to avoid them? You need to get paid, but is there a better payment model?
WillBG 4 दिवसांपूर्वी
It’s strange. I must have seen over 6 ads with this video and none on your Aerogel video where you melt the bunny.
Gabe Newell
Gabe Newell 4 दिवसांपूर्वी
Is this 4:3?
Vladimir Markiev
Vladimir Markiev 4 दिवसांपूर्वी
That's why I quit watching Veritassium long ago. Because it's interesting at the beginning and on short time my small brain refuses to percieve that scientific talk.
PoTaTo bRoWn
PoTaTo bRoWn 4 दिवसांपूर्वी
When you're Czech and finally see your country mentioned.
Dusty 4 दिवसांपूर्वी
super interesting even if it triggered my trypophobia!
NICO F. LUNA 5 दिवसांपूर्वी
Lisa Morse
Lisa Morse 5 दिवसांपूर्वी
Me at 15:04 "Hey. No. Stop that"
Maddi Merson
Maddi Merson 5 दिवसांपूर्वी
this is the only time math has been interesting
Backstage Bum
Backstage Bum 5 दिवसांपूर्वी
1:06 d6 1:10 d4 1:13 d8 1:16 d12 1:21 d20
Eli Lara
Eli Lara 5 दिवसांपूर्वी
12:20 “ just by looking at them you could never tell them apart” Maybe if you converted them into sound then you could hear the difference. It would sound like a noise with the different timbre, maybe.
Ghost Chris
Ghost Chris 3 दिवसांपूर्वी
How would you convert this to sound?
Şahanşah Bnoarg
Şahanşah Bnoarg 3 दिवसांपूर्वी
I am seriously curious about how we can convert it to sound
jyuy d
jyuy d 5 दिवसांपूर्वी
My jaw dropped when I saw the similarity between penrose's tiles and kepler's tiles
Mahmoud El Sayed
Mahmoud El Sayed 5 दिवसांपूर्वी
can you translate your coming videos into arabic?
Andrei Palatkas
Andrei Palatkas 5 दिवसांपूर्वी
This is the blueprint of the Omega molecule, it is infinite in it's destruction.
Mario Geiger
Mario Geiger 5 दिवसांपूर्वी
0.5 is 1/2 in base 10... Not so much related to 5...
AleDongo 5 दिवसांपूर्वी
1dgram 5 दिवसांपूर्वी
Next time I retile my kitchen floor...
Ali Sina
Ali Sina 5 दिवसांपूर्वी
Thicko here with a stupid question.... if it never repeats how can you be sure it is a pattern?
JohnLuka Doherty
JohnLuka Doherty 5 दिवसांपूर्वी
9:25 is amazing
internet_user 5 दिवसांपूर्वी
we have a street in finland which has been tiled with penrose tiles! check out keskuskatu, helsinki, finland in google street view!
Iain McMullen
Iain McMullen 5 दिवसांपूर्वी
Hexagons are the bestagons
Joey cheesebag
Joey cheesebag 5 दिवसांपूर्वी
All im hearing is set up to Tools laturalus
Dan Ibzz
Dan Ibzz 5 दिवसांपूर्वी
Also, The pattern seem to always form dodecagons...
Mitu Aktar
Mitu Aktar 5 दिवसांपूर्वी
8 minutes in, I'm done trying to understand their obsession.
Samuel Perez
Samuel Perez 5 दिवसांपूर्वी
I'm here from CGP Grey after joining the Hexagon cult
TheSty2000 5 दिवसांपूर्वी
platonic solid? you mean D&D dice right?
Kingsthrone 5 दिवसांपूर्वी
Interesting video! Now I wanna watch a video that explains this video.
bruh 5 दिवसांपूर्वी
I love how i watched this video thinking i would understand it
This equation will change how you see the world (the logistic map)
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