The Infinite Pattern That Never Repeats

  Ganger 7,352,350


20 dager siden

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 NOpost)
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 13 dager siden
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”
touristguy87 2 dager siden
...which has nothing at all to do with this video.
Flick Penrose
Flick Penrose 2 dager siden
Wait ... we didn't already know that? :O
KyrilPG 3 dager siden
@Veritasium Is the Oxford's Mathematical Institute entry / courtyard ground pattern a Penrose one ? It looks like it. I remember watching an episode of an English series which story took place there and I spent HOURS in awe pausing and playing frame by frame each shot of the courtyard's ground pattern. Completely obsessed by it! Like a baby discovering that a rattle produces (annoying) sound... You can partially see it on Google Maps when you zoom in to the max here : But a Google image search will show better hi-res images. Thank you so much for that video, I didn't understood everything in it yet but at least I can stop obsessively dreaming of that ground pattern of Oxford Mathematical Institute! You've kinda stopped a kind of debilitating earworm song from driving me nuts by giving me, a curious asperger layman, the most comprehensive and accessible approach to patterns I've seen yet. My sanity and me are so grateful! Thank you! 🤯🥳🙏 (And also thanks a lot for the intense braingasm when you play with the 2 layers of film and the moiré aligns, it almost made me drop a tear) Cheers from curfewed Paris, the city of (turned off) lights.
Pranav Pothanis
Pranav Pothanis 3 dager siden
His research was based on the foundations of 2 unsung Indian scientists: AK Raychaudhuri & CV Vishveshwara. It was the Rayachoudhuri equation which inspired him. Proud to be Indian 🇮🇳🇮🇳
Pranav Pothanis
Pranav Pothanis 3 dager siden
Is it the same Penrose after whom the 'Penrose process' is named? A way to extract energy from spinning black holes by moving close to the exosphere?
tabaks 23 minutter siden
1Password is leaps superior over LastPass.
DRakeTR of KBam
DRakeTR of KBam Time siden
This is the most intelligent illuminati confirmed video ive ever watched
2Tri Time siden
This is the most coincidence-filled thing I have ever seen in my life...
Релёкс84 Time siden
then you probably don't know what the word coincidence means...
Ofir Dolev
Ofir Dolev Time siden
Rrally interesting, but my guy are you really not saying that they are also dnd dice
Aleksander Sowiński
Aleksander Sowiński Time siden
David Wilkie
David Wilkie 2 timer siden
This is at least a hint at why re-evolution is eternal sync-duration connectivity.
Lucas Vidal
Lucas Vidal 2 timer siden
Does anybody know where i can find the patter to print the tiling and transparency used to see the morie pattern?
Neil's 2 timer siden
Drinking game : drink when he say 'periodically' or 'tile'. I'm bloated.
Dean Howell
Dean Howell 3 timer siden
Rubic's club plays in here somewhere, right?
Vellweb 3 timer siden
nah ill stick with Dashlane instead of LastPass
Laure_lei 3 timer siden
The real mystery is how you spread these out all over your floor with multiple littles in your sphere and still maintained all the pieces. (Worm holes? Superposition? Nap time? Enquiring minds want to know.)
Ken Rossman
Ken Rossman 3 timer siden
Wow! Show me how to do that trick where you toss a polygon up in the air, and it morphs into a different polygon! That was really cool!! :-)
Ken Rossman
Ken Rossman Time siden
@Релёкс84 that was sarcasm on my part... :-)
Релёкс84 Time siden
it's called video editing
B88 3 timer siden
Amazing - love it!!!!
Solo Recibo Spam
Solo Recibo Spam 4 timer siden
18:04 Please, i would like to know more about such rules. Where can i find more info on that? Thanks.
123 M
123 M 4 timer siden
Maybe physics is not my cup of tea😑😞
john sims
john sims 5 timer siden
Duh ...
Hamish Forrest
Hamish Forrest 6 timer siden
Why does it need to follow the lines?
Stibble 7 timer siden
If math was this cool i would have paid more attention
kaczan3 7 timer siden
This guys travels, has an wxpensive hiuse full of toys. His life would be awsome if he didn't have that long term gf or wife or w/e.
Kono DIO da
Kono DIO da 7 timer siden
This is the secret of the Zeppeli's infinitely spinning steel balls. ps: definitely not a JoJo reference
Релёкс84 45 minutter siden
cringe weeb
bofooit gojo
bofooit gojo 8 timer siden
The question that occurred to me: is there a relationship between space-time and Penrose tiling?
Cabillo, John Benedict
Cabillo, John Benedict 8 timer siden
do you have any friends to help you out there???
Janezjanez Novaknovak
Janezjanez Novaknovak 8 timer siden
It turns out that he was Wang.
bofooit gojo
bofooit gojo 8 timer siden
What are your thoughts on the possibilities of encoding information within a quasicrystal structure? With the infinite possibilities of arrangement, it seems this should be
Javier Borda
Javier Borda 9 timer siden
Washington DC
Tommaso Gambassi
Tommaso Gambassi 9 timer siden
te stai male
Memed Tracks
Memed Tracks 10 timer siden
Bruh you did this for nothing, Military camo is also considered a pattern and yet never repeats since a repeating pattern in it would cause people to see it quicker.
Antonio Garcia
Antonio Garcia 11 timer siden
absolutely crazy that the tiles of the 2 tiles non-periodic shape matched up with what Kepler's drawing of a non-periodic shape. It's actually really profound to me that it matched up, it really puts us and our minds into perspective for me.
Tony Veretyuk
Tony Veretyuk 12 timer siden
Hi, there! I am amazed by your wonderful video! I am a professional translator and I would like to translate this particular video into Russian. It all sent shivers down my spine how 1 question leads to another... and another... and another... infinite :) Please contact me:
Josh Bowman
Josh Bowman 14 timer siden
And yet even more evidence that there is an intelligent creator behind our beautiful universe. Don't hate me for saying it just look into the evidence! If you want Scientific answers, any of Josh McDowell's five books called The New Answers are great for that. If you want logic based research, my suggestion is The Case for Christ by Lee Strobel.
Dawsieboy Gaming
Dawsieboy Gaming 16 timer siden
At 2:13 please stop using the scp illustrated music it’s throwing my brain off
Lach Vogel
Lach Vogel 17 timer siden
At 4:44 when rotating Keplars 5-way symmetry tiling, the centre point should be the star below your axis point instead of the decagon.. But yeah, how does one continue the tiling.. ;) Great video otherwise!
Zane Gant
Zane Gant 18 timer siden
I don't know how many times this video blew my mind.
Cédric S
Cédric S 19 timer siden
That's even tougher than watching Tenet..
fluke9 19 timer siden
wow! thanks
Sub because Why not
Sub because Why not 19 timer siden
1.58 I swear that is the music for a game and what is it called
Dean Ashworth
Dean Ashworth 20 timer siden
Imagine this intelligent and without all the technology of today....f@!k me the astronomy stuff blows my mind
douglas mccann
douglas mccann 20 timer siden
22 over 7
Haytham Abdel-Qader
Haytham Abdel-Qader 20 timer siden
half-life 3 confirmed
Rather B. Squidding
Rather B. Squidding 20 timer siden
What are your thoughts on the possibilities of encoding information within a quasicrystal structure? With the infinite possibilities of arrangement, it seems this should be possible assuming you can control exactly how the quasicrystal grows. If this is possible.. it makes the extraterrestrial origin of the only quasicrystal ever found very interesting. Could it be a message from a far off alien species? I think so. Shameless plug: More information in this video:
Liam Revorêdo Pinto
Liam Revorêdo Pinto 20 timer siden
Is this like turning an irracional number into something physical?
TheManWithManyNames 21 time siden
I just wanted to know a good tile pattern for the floor. I wasn't expecting a scientific lesson.
Trainer JB
Trainer JB 22 timer siden
The pictures of the two crystals that had electrons scattered off of them almost looks like the cross-section of a myofibril
Meagan Brady
Meagan Brady 23 timer siden
Sam Al-Sapti
Sam Al-Sapti Dag siden
Anyone else noticing the confused lady at 0:31?
this is just us looking at dimensions we cant see.
use this for mapping space
Evanduril Dag siden
I was lost in the begining, but man, that was exciting to watch.
boya hawken
boya hawken Dag siden
anyone here from science class👀
Graham McMullen
Graham McMullen Dag siden
Thank you for this great mental distraction. Putting my cat down today has had me feeling pretty terrible, but I was able to escape that for a moment while watching this.
no one expected the spanish inquisition
no one expected the spanish inquisition Dag siden
Make these patterns in glass, shine light through them, you need quite a few layers, you will find that the geometry of the light will change... It will gain mass.. exotic mass.. Use electromagnetic fields to control the mass that happens to flow through in just the right way.
bhishma pitamah
bhishma pitamah Dag siden
*me not understanding anything and coming into comments* . . . me after seeing comments: ah, I'm not the only one.
Mathew Silva
Mathew Silva Dag siden
Got It So We Have A d6,d4,d8,d12 and a d20
Jérôme TOUATI Dag siden
Great research work!
Binge Squad
Binge Squad Dag siden
And this is the solution to the COD Mobile Puzzle
Mr.Spoon025 Dag siden
How do you do this good of educational stuff?
minij hooi
minij hooi Dag siden
useless skill
Anuj Bhandare
Anuj Bhandare Dag siden
What if this is how the atoms of the 2nd dimension work.
minij hooi
minij hooi Dag siden
That was brilliant.. thank you!!!?
N m N
N m N Dag siden
OK this time he has succeeded to hurt my eyes and brain at the same time
Bippity Boppity
Bippity Boppity Dag siden
11:50 kore ga requiem da! after 5 seconds
rrawwbb Dag siden
Magnum Dong Adventures
Magnum Dong Adventures Dag siden
Man penrose is 89 and still kickin!
Theironsword Dag siden
The problem with a pattern that never repeats is that a pattern is, by definition, supposed to repeat.
Релёкс84 Time siden
1101001000100001000001... this is a pattern that never repeats. A pattern absolutely does not have to repeat.
Laure_lei 3 timer siden
I have sewing patterns with no repeats, and when I open my phone's lock screen, I trace a pattern to do so. Only repeating patterns repeat.
Nathan Taylor
Nathan Taylor Dag siden
Question - What is the significance of the colour variations in the tilings shown (around 04:00)? The rhombus pattern as shown has three colours, then equi triangle and square has only 2, then hex has 4?? Is this just arbitrary in the video presentation, or is there a reason or significance for these differences? The first hex pattern showed one colour only. In the last "six-fold, spinning" presentation, there are four different coloured hexagons, and if you rotate 60* (for example), sides align but colours do not.
jman t
jman t Dag siden
i love this because... how could you not, but i hate it because now i feel like a total idiot
TheBlueGuy Dag siden
I'm sorry to say this, but your title is redundant.
redbeam_ 15 timer siden
did you watch the video?
Rem Lezar
Rem Lezar Dag siden
"there are no quasicrystals, just quasi-scientists" sounds like someone who's jealous they didn't figure it out first and or don't like actual science.
yes no
yes no Dag siden
yknow, the easiest infinite pattern that never repeats is just counting by 1
Tom Norton-Platford
Tom Norton-Platford Dag siden
9:00 how can I get these sheets?
None of your Business
None of your Business Dag siden
So your _definition_ of "repeating" explicitly excludes *rotation.* I'll say that's oddly specific...
-Nameless- Dag siden
Now i want to make a floor of those shapes.
Kristie Hansen
Kristie Hansen Dag siden
Prague is that where the giant books were found? How does the fractals fit in to this story? Oh I should have just waited for the answer.
Fawna Dag siden
useless skill
David Wahlstedt
David Wahlstedt Dag siden
Great video - thanks! Aperiodic tiles existed already in the 1400's in Iran, according to Peter Lu. See this:
Multex Dag siden
im brain fucked
Nikolai Westall
Nikolai Westall Dag siden
This was fun thank you!
orfo70 Dag siden
mind blowen 🤯
Flaming Karma
Flaming Karma Dag siden
this makes me miss vsauce.. it sounds like something he'd make a video on
Luuk Stehouwer
Luuk Stehouwer Dag siden
Awesome video! One small remark: you are really only talking about rotational symmetry. For example, I would say "a square lattice has four-fold rotational symmetry". Namely, a square lattice also has reflection symmetries next to its translation and rotational symmetry. Keeping these in mind is important if one talks about general wallpaper groups.
Josh Colley
Josh Colley 2 dager siden
Does anyone else want to make a floor tiling with these???
samnan kadri
samnan kadri 2 dager siden
Thank You for delivering such a great piece of knowledge....your videos are interesting always
karma tsering
karma tsering 2 dager siden
this is the way to generate random numbers that is good for encryption which is used in network and communications
Cassie 2 dager siden
The question that occurred to me: is there a relationship between space-time and Penrose tiling?
Bryan Valencia
Bryan Valencia 2 dager siden
Nosebleed pero ansaya hahahahha
vader 2 dager siden
Mark rip off ???
Cassie 2 dager siden
My eyes are hurting and my brain is pulsating...
FotoAmg AmgFoto
FotoAmg AmgFoto 2 dager siden
the only reason I disliked this video is that I got seasick at the Moire pattern move first than when fast moving the infinite patterns...
Starlight Dragon
Starlight Dragon 2 dager siden
Me: *A bit confused* also me: *DiS sCiEnCe?*
Maxi Nyandoro
Maxi Nyandoro 2 dager siden
Him: that is thE GOLDEEEEEN RATIO!! Me: well if you say so I guess sure
Adam Putalavage
Adam Putalavage 2 dager siden
11:54 Korega requiem da
Chris Langan
Chris Langan 2 dager siden
Me, an ignormaus: Oh! So that's why the wallpaper pattern at tacky restaurants never repeats where it's supposed to!
Vinayak Gupta
Vinayak Gupta 2 dager siden
It is all taught in 12 grade in our country
KrustyAnne 2 dager siden
When I first saw the video was 21 minutes long, I genuinely didn't think I'd watch all of it. This was amazing to watch from start to finish!
Karikato 2 dager siden
Amazing topic and excellent video as always
ムFr0stiee 2 dager siden
Teacher: I'll be back kids, be quiet! The quiet kid: 9:43
qwertz33 2 dager siden
one of the craziest videos you made so far. Im so impressed...
Ronri-tekina Finrando Kuma
Ronri-tekina Finrando Kuma 2 dager siden
The story begins over 400 years ago... In phrog 🐸
I Love Ronald McDonald He Is Cool
I Love Ronald McDonald He Is Cool 2 dager siden
I think that the 4K that did not like this video had their minds blown, sometimes people don't like things they don't understand, also some of them probably failed maths at school. When I re-did my maths at college, I almost got an A, even though I did very little revision, I only got a B because I missed the middle page by mistake, I often wonder what grade I would have got if I did lots of homework!!!!!
Kelu 2 dager siden
I'm gonna build one of these infinite patterns in my bathroom
Skratch Videos
Skratch Videos 2 dager siden
mind blowing
Vapour_X S
Vapour_X S 2 dager siden
My eyes are hurting and my brain is pulsating...
Connor Gregory
Connor Gregory 2 dager siden
But if it's infinite then it will repeat an infinite number of times
Connor Gregory
Connor Gregory Dag siden
@Lünkel ah I think I misunderstood what was meant by repeat
Lünkel 2 dager siden
Any finite chunk appears infinitely often, yes. But at no point can you go "just repeat from here on out". It's very much like irrational numbers.
Rishabh Jain
Rishabh Jain 2 dager siden
mind blown!! thanks to you am able to understand such great piece of knowledge
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