The Infinite Pattern That Never Repeats

  वेळा पाहिला 10,487,938

Veritasium

7 महिन्यांपूर्वी

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 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

टिप्पण्या
Veritasium
Veritasium 7 महिन्यांपूर्वी
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”
Hope Cat
Hope Cat 15 दिवसांपूर्वी
This video is a vector by which Tusk Act 4 can be achieved.
husejn179
husejn179 महिन्यापूर्वी
Yodas Raytraced Retro Studios
Yodas Raytraced Retro Studios महिन्यापूर्वी
It never repeats but the universe itself clearly does. Ok.
Itz_Clixzy
Itz_Clixzy महिन्यापूर्वी
That’s nice
Big Smoke
Big Smoke महिन्यापूर्वी
Wait, the astronasts select by Skill where also 1.6! It all has a pattern, but has actually Not🥴
J4RH
J4RH 5 तासांपूर्वी
Why is this video so satisfying
Nathan Field
Nathan Field 6 तासांपूर्वी
Doesn't it have to repeat to be a pattern? If not please explain?
Antanis
Antanis 9 तासांपूर्वी
I want to make a kites and darts floor.
DancingEnginier
DancingEnginier 13 तासांपूर्वी
whenever someone mensions czech republic in there videos and prayses the country or city of czechia i get happy
n0n Cha7ant
n0n Cha7ant दिवसापूर्वी
i now want to figure how to do the penrose pattern for backsplash or tiling
LOT
LOT दिवसापूर्वी
"So you could look at all of them and never tell them apart" Random ad: THE NEW DQ SUMMER BLIZZARD MENU
FreeBandz Gaming
FreeBandz Gaming दिवसापूर्वी
This whole video is just one long mind blown moment
Sophie Klenova
Sophie Klenova दिवसापूर्वी
I feel like now I'm full of this information and I want to do something with it but I have no idea what I can do with it
Jan Pohořelický, Remax
Jan Pohořelický, Remax दिवसापूर्वी
That feeling that you live in Prague, 15 mins from Kepler Museum, and you have not visited yet :D
Brian Carey
Brian Carey दिवसापूर्वी
Fascinating!
Sankalp Mollick
Sankalp Mollick दिवसापूर्वी
*Nice* 😊😊
Kevin J. Loos
Kevin J. Loos दिवसापूर्वी
Mmmh that Sam O'Nella music
Alice has a life
Alice has a life दिवसापूर्वी
Why does maths feel like a conspiracy theory
Karen Mullen
Karen Mullen 2 दिवसांपूर्वी
Although I am no smarter than I was, I am however, more wowed then I ever have been.
Francesco Grilli
Francesco Grilli 2 दिवसांपूर्वी
Bro, everything really cool and well done (you're great!), but the ADVERTISEMENTS are REALLY too many. It's extremely annoying to be stopped each 3-4 minutes. It makes you lose the will to watch other videos: it's a brainwashing.
Norton Newmann
Norton Newmann 2 दिवसांपूर्वी
Imagine the amount of time (lifetimes) spent trying to solve these problems without the aid of electronic computers. In printing/graphic arts, we now have stochastic "pseudorandom" (FM) screening which was impossible before computers. This completely eliminates the problem of needing to have perfect screen angles to prevent an objectionable moire pattern.
Brian Heins
Brian Heins 2 दिवसांपूर्वी
Derek, How are you evaluating the potential remainder angles of the negative space when laying out the tiles on the floor? I mean, what's the thought process that has these pieces fit or not fit? How is your brain deciding based on putting a piece in place that it's the right one?
Tyler Ross
Tyler Ross 2 दिवसांपूर्वी
Then it's not a pattern
R. a. s. a. t. i.
R. a. s. a. t. i. 3 दिवसांपूर्वी
i found one that only has 1 shape, a triangle with sides 1, 1, and sqrt(2), put all of them in square pairs, then make a perfect square pattern using these pairs and rotate just one of the pairs, since theres only one pair rotated the other way, it never repeats
cypher sabston
cypher sabston 3 दिवसांपूर्वी
unfortunately the entire thing about infinite is the fact that it doesnt have an end meaning EVENTUALLY it will repeat fortunately its impossible to get an infinite amount of these tiles so this comment is null and void
A
A 3 दिवसांपूर्वी
9 year old my trying to find when the restaruants tiles repeat: *What the frick*
vivek tank
vivek tank 3 दिवसांपूर्वी
i think u should check this two time line and compare them both 9:02 and 17:32
Md Hussain
Md Hussain 3 दिवसांपूर्वी
ওই আমারে কেউ মাইরালা ..😂😂😂
Qu1x
Qu1x 3 दिवसांपूर्वी
I learned more in this video then my 4 hours of zoom class
Gmail Google
Gmail Google 4 दिवसांपूर्वी
1:56 oh so it's an SCP now huh
Yuuup
Yuuup 4 दिवसांपूर्वी
Im confused as to how it is a pattern if it doesn't repeat.
Cyclade
Cyclade 4 दिवसांपूर्वी
P is for prog,prog is for pro,pro is for pog.
Buttsagonton
Buttsagonton 4 दिवसांपूर्वी
All I got from this was that a Wang was beaten by a Burger.
Twunny Bux
Twunny Bux 4 दिवसांपूर्वी
I thought if space was infinite then you’d get the same things because of it? How is it opposite now?
Michael Burger
Michael Burger 4 दिवसांपूर्वी
Does this help me in life? NEXT...
Jasmeet Kaur
Jasmeet Kaur 4 दिवसांपूर्वी
I am so confused 😹
The Gorn
The Gorn 4 दिवसांपूर्वी
Wang and Burger - my girlfriend's two favorite things
l3lu boiツ
l3lu boiツ 4 दिवसांपूर्वी
I now know the golden ratio to achieve the perfect spin.
Tetzy28 - Brawl Stars
Tetzy28 - Brawl Stars 5 दिवसांपूर्वी
And this all came from a guy that found out that when you put one rock next to another rock, there are more rocks. Math scares me
Toughen Up, Fluffy
Toughen Up, Fluffy 5 दिवसांपूर्वी
Pattern, n. a repeated decorative design. If it doesn't repeat, it isn't a pattern.
Marc Bernat
Marc Bernat 5 दिवसांपूर्वी
Now i want penrose tiles at my bathroom.
v x3woots v
v x3woots v 5 दिवसांपूर्वी
"An infinite pattern that never repeats" Oh hey that pattern is repeating
kjz
kjz 5 दिवसांपूर्वी
So many FIVES!
Eric Strunck
Eric Strunck 5 दिवसांपूर्वी
as a tile installer, this gave me horrible anxiety
Chris Diaz
Chris Diaz 5 दिवसांपूर्वी
Am I the only one that didn't understand anything here
Maikro Wavee
Maikro Wavee 5 दिवसांपूर्वी
i does idiot
j b
j b 5 दिवसांपूर्वी
My theory is that we live in a black hole. Math and science can only be proven to be wrong...prove me wrong.
Hunter Rego
Hunter Rego 5 दिवसांपूर्वी
1:58 "...Object Class: Keter..."
Jeff Honeyager
Jeff Honeyager 6 दिवसांपूर्वी
Proof of God
Greg Brown
Greg Brown 6 दिवसांपूर्वी
Any math heads out there try a base-9 system to figure this one out?
eric kestner
eric kestner 6 दिवसांपूर्वी
So, can we get that program.. I could spend days looking for patterns
Kermit the Kid
Kermit the Kid 6 दिवसांपूर्वी
if it doesnt repeat, THEN ITS NOT A PATTERN
DominoPivot
DominoPivot 6 दिवसांपूर्वी
A few years ago I thought about making a video game where the player would explore a dungeon made of an infinite pattern of polygonal rooms. Each room would communicate with all the rooms surrounding it. Entering a room for the first time would permanently seal the room the player just left and would grant them a specific stat bonus based on the direction they took. The player's choices could therefore be represented as a path within the tiling, and upon death, the player could retry the exact same dungeon and get the same bonuses. As I started to wonder about the kinds of tilings that would produce interesting decision-making problems for the player, I realized that if I wanted to make the game interesting, I needed a way to generate an infinite pattern that never repeats, and that seemed difficult, if even possible. Turns out this is what I needed.
Halmaist
Halmaist 6 दिवसांपूर्वी
could the infinite pattern that never repeats have something to do with prime numbers ?
Nee
Nee 6 दिवसांपूर्वी
Quazi crystals are just a stepping stone, don't be fooled before you know it you will be experimenting with crystal meth!
Nee
Nee 6 दिवसांपूर्वी
It's that square route of 5 plus one and then halved. It's amazing to actually see the problem with five way symmetry. If the universe had five dimensions at least there would be no flat earthers ^_^
B r e a d
B r e a d 6 दिवसांपूर्वी
FLASH WARNING 4:07 for my easily overwhelmed brothen
Harley David Crave
Harley David Crave 6 दिवसांपूर्वी
veritasium is the only channel that makes me watch a lengthy video and learn complex things
l00k
l00k 7 दिवसांपूर्वी
13:13 so that is why it is very likly to find golden ratio in nature? It is cuz pentagon occurs frequently in molecules or is it too far-reaching conclusion?
george kane
george kane 7 दिवसांपूर्वी
3:08 because hexagons are the best
CallMeWolf
CallMeWolf 7 दिवसांपूर्वी
This is really cool
BE_B09_Samarth_Math
BE_B09_Samarth_Math 7 दिवसांपूर्वी
It is beautiful I have watched this for 5 hours now .
Chinmoy Das
Chinmoy Das 7 दिवसांपूर्वी
simply amazing.
Eans19
Eans19 8 दिवसांपूर्वी
Where can I find the transparent overlay of the penrose pattern?
Doom And Gloom
Doom And Gloom 8 दिवसांपूर्वी
Hey teacher. When are we ever going to use this in real life?
Taylor-Place Productions
Taylor-Place Productions 8 दिवसांपूर्वी
The use of Halo: Reach music just makes this video that much cooler
Alan Mendez
Alan Mendez 8 दिवसांपूर्वी
i don't understand why if the first penrose pattern is infinite it would not already have all other pattern within itself. What difference would another set of tiles have? perhaps a different origin, but does infinity even have an origin?
CocktaiLMolotovX
CocktaiLMolotovX 8 दिवसांपूर्वी
This is art to tell someting to prove nothing.
VICENTE Lopez Lopez
VICENTE Lopez Lopez 8 दिवसांपूर्वी
9:00 is a face
ria 1595
ria 1595 8 दिवसांपूर्वी
I think i saw two blue and green colour patters match at 11:04. At 11:04 you will see a green star almost in the middle of your screen. The 2 patters on its left and right side (Start patterns with blue centres and green spiky ends), they match! Guys aren't they identical? Please @veritasium or anyone else who knows, let me know if they are not identical then how?
murfad
murfad 8 दिवसांपूर्वी
why am i watching this again?
Kerstin König
Kerstin König 8 दिवसांपूर्वी
I don't get it, but cool video
Deliläs
Deliläs 8 दिवसांपूर्वी
Math is just one big conspiracy
Deliläs
Deliläs 8 दिवसांपूर्वी
looking at this gives me headaches
Aura Fox
Aura Fox 8 दिवसांपूर्वी
I was expecting Tom Scott, but I got vsauce... and then an existential crisis.
PlanetDisco
PlanetDisco 8 दिवसांपूर्वी
Pretty sure Neal Stephenson featured this in his amazing novel “Anathem” although there was a single potential pattern solution for each different layer? Great book btw! Thanks for this...
ShatnerLover
ShatnerLover 8 दिवसांपूर्वी
I’m confused. I see lots of repeating shapes in the 20,000 tiles and the six and the Penrose one.
Korbin Davis
Korbin Davis 9 दिवसांपूर्वी
It's not a pattern if it doesn't repeat lol - just a mathematician
mohammed em
mohammed em 9 दिवसांपूर्वी
Your videos makes me feel stupid in various dimentions . And thats what i like about them. It makes me feel humble at the same time before Allah's knowledge
Brooklyn Lovato
Brooklyn Lovato 9 दिवसांपूर्वी
I feel so dumb yet so smart at the sametime
watchguy79
watchguy79 9 दिवसांपूर्वी
Right when I think I got it, it goes away.
Samuel Wong
Samuel Wong 9 दिवसांपूर्वी
Kinda reminds me of "Where's Wally?"
herbiefrog
herbiefrog 9 दिवसांपूर्वी
Is this why starfish have five arms ? Are they tomorrow's space travellers ? Don't give up guy :)
Blue Eyes
Blue Eyes 9 दिवसांपूर्वी
No problems.. or problem..?
Blue Eyes
Blue Eyes 9 दिवसांपूर्वी
Golden Rain. so..?
Blue Eyes
Blue Eyes 9 दिवसांपूर्वी
Robert Burger he was a vegan or catholic .. ?
Blue Eyes
Blue Eyes 9 दिवसांपूर्वी
Robert Burger.. king..?.. hahaha
think deep
think deep 9 दिवसांपूर्वी
Actually it does repeat, just from pausing it I found 2 exact same patterns
Kazik Majster
Kazik Majster 9 दिवसांपूर्वी
Hexagons are the Bestagons
Dennis
Dennis 9 दिवसांपूर्वी
That's a nice video! May I ask, what is the thing with yellow lights (?) left to the glass door, @Veritasium? Looks cool!
SkyReaperOne
SkyReaperOne 9 दिवसांपूर्वी
To me, this feels like a distillation of chaos theory. There is order in everything. Chaos is simply made of what we can not perceive.
aaryan joshy
aaryan joshy 9 दिवसांपूर्वी
I became a genius after watching this!
mienzillaz
mienzillaz 10 दिवसांपूर्वी
This episode must be on everybody's veritasium top5
CodeKirby
CodeKirby 10 दिवसांपूर्वी
I am getting First In Math PTSD and i dont know why
Treat Family
Treat Family 10 दिवसांपूर्वी
R.I.P. My brain 2021
Leo
Leo 10 दिवसांपूर्वी
By brian exploded when you showed the two pieces that cause conflict when placed at the same time. I thought the overall shape would be unique, but it turns out somehow it's dependant of the individual steps that you choose to do the next? It's awesome
Why Me
Why Me 10 दिवसांपूर्वी
Because the golden ratio literally represents Infinity without overlapping
Joel Pinto
Joel Pinto 10 दिवसांपूर्वी
this just messed up my mind... but i now know something like this exist.
Zyǐ Bésixdouze
Zyǐ Bésixdouze 10 दिवसांपूर्वी
golden ratio but not appearing in SBR, smh
nlo114
nlo114 10 दिवसांपूर्वी
Derived from this is the mathematics of cellular radio frequency planning over different areas of coverage.
Zyǐ Bésixdouze
Zyǐ Bésixdouze 10 दिवसांपूर्वी
It's interesting that Kepler was so close to the answer, imagine how far a leap that would have been
Dothe
Dothe 10 दिवसांपूर्वी
This is one of the best videos I've ever seen on MRpost! Great job and thank you for taking the time to do so!
shigaraja
shigaraja 10 दिवसांपूर्वी
i dont know what it is about this video in particular that i keep coming back to and watching.
Younoki
Younoki 11 दिवसांपूर्वी
Jesus christ I want to sleep
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