The Infinite Pattern That Never Repeats

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Veritasium

3 månader sedan

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 SEmost)
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

Kommentarer
Veritasium
Veritasium 3 månader sedan
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
Fudge A Tron Gaming 5 dagar sedan
Wtf does that mean
Totally a Grumman F-14 Tomcat
Totally a Grumman F-14 Tomcat 7 dagar sedan
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
JanPBtest 8 dagar sedan
@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
Bazza The Great 8 dagar sedan
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
Daniel Komárek 8 dagar sedan
I am from Czech republic 👌
the peanut gallery
the peanut gallery 6 timmar sedan
if it never repeats then it's not a pattern now is it?
Larry Arthauer
Larry Arthauer 3 timmar sedan
lol
mosirskii skii
mosirskii skii 7 timmar sedan
Kifflom
Je Suis Ce Que Je Suis
Je Suis Ce Que Je Suis 10 timmar sedan
"Kepler is most famous for figuring out that planetary orbits are ellipses." - Except they're not ellipses, they're spiral.
Mop Mop
Mop Mop 13 timmar sedan
HEXAGONS ARE THE BESTAGONS!!!
Pedro Lucas
Pedro Lucas 19 timmar sedan
I started watching bodybuilders workouts, then end up here 😁
Varalakshmi K
Varalakshmi K 20 timmar sedan
Aayush Japanese CRO Japanese CRO Japanese
Varalakshmi K
Varalakshmi K 20 timmar sedan
Vi bitonic solid a metric guard there are 6 the bubble the best one is vi Onyx
Varalakshmi K
Varalakshmi K 20 timmar sedan
5 Pathan excellent
Varalakshmi K
Varalakshmi K 20 timmar sedan
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
Erik Footz 22 timmar sedan
My last braincell likes to play with TNT...
Antoine LIANG
Antoine LIANG Dag sedan
Wait, isn't it impossible for infinity to not repeat?
ur mom gey
ur mom gey Dag sedan
i was like damn that looks fake untill i saw...
Yvonne Lecobo-an
Yvonne Lecobo-an Dag sedan
I don’t understand anything....
ZakarooNetwork
ZakarooNetwork Dag sedan
4:39 that 5 Fold pattern in on ancient Indian Hindu temples.
Angry_Flan
Angry_Flan 2 dagar sedan
man, this video allowed me to get that in infinity we all occur and that infinity really is infinite
Abeth Stambaugh
Abeth Stambaugh 2 dagar sedan
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
JASPER LIMPYO 2 dagar sedan
Hexagon is the bestagon
STobacco
STobacco 2 dagar sedan
i mean we all know, Hexagon is the bes-tagon
Oliver StJulien
Oliver StJulien 2 dagar sedan
The teeny-tiny discussion customarily bare because day iteratively depend sans a uneven dungeon. chief, blue seat
Seth Euan Castillo
Seth Euan Castillo 2 dagar sedan
Me watching and acting like i understand a single thing: ah isee
Carwin Byington
Carwin Byington 2 dagar sedan
That's an oxymoron. How can anything be a pattern if it doesn't repeat?
Fif Gallag
Fif Gallag 2 dagar sedan
watching that first part after jan Misali's "there are 48 regular polyhedra" hits different
AlphonsVlad
AlphonsVlad 2 dagar sedan
മലയാളി പൊളി അല്ലെ
Sushilord 715
Sushilord 715 2 dagar sedan
N O
Nash Koryta
Nash Koryta 2 dagar sedan
I learned more from thia than i did in school in the last month
Raviel Beaumont De guzman
Raviel Beaumont De guzman 3 dagar sedan
you do realise your name is a truth serum
qwertshirt
qwertshirt 3 dagar sedan
its so fascinating its almost creepy
Neil Stansbury
Neil Stansbury 3 dagar sedan
This has to be one of the most fascinating videos I've ever watched on SEmost!
blang shimuru
blang shimuru 3 dagar sedan
I'm speechless
OMERECKER _3250
OMERECKER _3250 3 dagar sedan
Progers
Jackson Cook
Jackson Cook 3 dagar sedan
I had never heard of this before, and its amazing
animator blueberry sans
animator blueberry sans 3 dagar sedan
1:24 no one: me, a DnD player: did you mean D4, D6, D8, D12 and D20 anyway-
NorthSoulStar
NorthSoulStar 3 dagar sedan
Mind blown! I love this stuff
Eli Haslage
Eli Haslage 4 dagar sedan
Dear Kepler, Snowflakes are that way because hexagons are bestagons. - CGP Grey, probably
Tylorean
Tylorean 4 dagar sedan
Where can i buy the red, green and blue things?
Tushar Moitra
Tushar Moitra 4 dagar sedan
THIS IS DISTURBINGGGGG!!!! 😂😂😂
zeitbloms
zeitbloms 4 dagar sedan
This is an amazing video! The big boxes of these in the video would be really fun to play with - even for kids, I'd imagine. Especially, as educational tools. Did any find a good place to purchase kites and darts tiles?
Rich Buddy
Rich Buddy 4 dagar sedan
kind of like block chain tech
Julian Garcia
Julian Garcia 4 dagar sedan
I swear we all learn more in SEmost than school.
Dr .Foster
Dr .Foster 4 dagar sedan
Work with V sauce?
Veronika Zoselova
Veronika Zoselova 4 dagar sedan
Me from czech republic : :OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Blas Felip Himmelreich
Blas Felip Himmelreich 4 dagar sedan
You sure it doesnt repeat? I think people are quite simply too lazy to check
Ashley the_gacha simp
Ashley the_gacha simp 4 dagar sedan
MAH DUDE WEAR A MASK
Kaitlyn Cunningham
Kaitlyn Cunningham 4 dagar sedan
Uhm.... I see a repeat in the thumbnail?
Ian Foo
Ian Foo 4 dagar sedan
My Girlfriend: buy some thing to eat Me :
Kurt Punzalan
Kurt Punzalan 4 dagar sedan
“Why always six?” Cgp Grey:because hexagons are the bestagons
Kerns Noel
Kerns Noel 4 dagar sedan
I have a particular problem with 'unverifiable infinity' I would want to say that I don't believe the pattern is truly infinite.. So much as I think that it is able to build roated sub patterns into layers, where as it'd as likely take such an absurd scope to even find the repeat, that I think the comparison to shapes like squares, triangles, & even other multi-part shapes a bit on the unfair sense, as the building of the pattern uses logistical rules beyond 'fitting sides together'. Though, what i think is as likely as much else... it being rather unfair & .. sorta dismissive to say 'infinite number of patterns' while admitting to sub repeating parts. It's also 'slightly misleading' to suggest it's only 2 shapes that makes that pattern, when it ends up being dozens on dozens, with only 2 kinds. -- as if it was 1 pattern diced up into several, really.. Not to say 2 very simple elements of something can't make up something extensively more complicated then it's parts alone.. though, perhaps it's the secret right? that such things once weaved large enough becomes the fabric of which everything is made from.... and thus a thing onto it self where it becomes misleading to claim 2 elements once those patterns start creating patterns that create patterns & continue to do so the more that is pulled back out to a point of unknown stability. what of Protons & electrons? if woven so close & having it's own logic & laws, making up reality as we know it.. that the existence of everything else is just them.. might be missleading to say protons & electrons, when say.. you're holding a drink, or food. I do believe it is scale for sure and such things can lead to understanding about sheer fundamentals, but if the 'examples' are little more then utterly mind boggling & effectively impossible to examine in full with even projected future hardware, then... what of the real deal & why do we consider it immutable if at the core of thingss it is only a 0 or a 1... a fat shape or a shape, & by knowing what's what.. you could change the localized rules for x things, and manipulate the patterns. -- as any sufficiently complicated pattern would have a drift ability & in that excessive resistance to destruction via pattern changing. this being the whole of the thing... while localized patterns would have to change to fit the alterations.. while not changing the overall patterns.
Walter Moore
Walter Moore 4 dagar sedan
The special albatross morphometrically trace because list histologically knit anenst a acidic soldier. disgusted, plastic purpose
Hydr0Waves
Hydr0Waves 4 dagar sedan
i don't know what tf they're talking about.
Troveion
Troveion 4 dagar sedan
I've learned so much but nothing at the same time
Keeva Grace
Keeva Grace 4 dagar sedan
Poggers for God
kirby is a Christian man
kirby is a Christian man 4 dagar sedan
I saw it repeat twice already
Black Board
Black Board 5 dagar sedan
Excuse me
America just keeps getting greater!
America just keeps getting greater! 5 dagar sedan
My only question after watching this entire video: So, what sanitarium did Penrose end up in? (You just KNOW he's been drawing on the floor and walls of his room!)
ksmoker27
ksmoker27 5 dagar sedan
Thank you for using the phrase "raises the question" at 5:32 (which was the correct phrase to use in this instance), instead of using the phrase "begs the question" (which would've been the wrong phrase to use in this instance, since it means something entirely different)! I cringe every time someone misuses the phrase "begs the question!"
levirann
levirann 5 dagar sedan
I'm dizzy
Ignored
Ignored 5 dagar sedan
My eyes hurt
NJ_ 16
NJ_ 16 5 dagar sedan
If it’s a “pattern” that doesn’t repeat, is it even a pattern?😂
Prime
Prime 5 dagar sedan
My mind is completely blown
David Plenderleith
David Plenderleith 5 dagar sedan
Snap!
C G
C G 5 dagar sedan
Your comment at 19:43 encourages me to look closer at the Bible for physical, social and economic applications. Thanks.
True dragon Slayer
True dragon Slayer 5 dagar sedan
Fun art fact: this wouldn't be a pattern this would be call a rhythm
A_Aleta Jr. Glenn Cliff
A_Aleta Jr. Glenn Cliff 5 dagar sedan
i have never been so confused
Ho6Xc5
Ho6Xc5 5 dagar sedan
after watching this video before sleep, i had a nightmare.
Jophiel Philanna Deusvult
Jophiel Philanna Deusvult 5 dagar sedan
How did I go from minecraft trolling to this anyways-
Night Owl
Night Owl 5 dagar sedan
11:48 "It's futile" Nice Pun
Dejv 300
Dejv 300 5 dagar sedan
Prague hmmm it is something I know but wait. Oh wait nvm it's main city of country I live in aka Czech republic. 😂
XxshautyxX
XxshautyxX 5 dagar sedan
Me:doesn’t understand 50% of the words Still me:understand everything
Vincent C. Dicayanan
Vincent C. Dicayanan 5 dagar sedan
The most confusing game of Puzzle
Haziq Baik
Haziq Baik 5 dagar sedan
prog
Jahred Galanza
Jahred Galanza 5 dagar sedan
11:51 *Korega Requiem Da*
Jahred Galanza
Jahred Galanza 5 dagar sedan
Yes
Andrew Whisenand
Andrew Whisenand 5 dagar sedan
Jealous of that Celestron CGX in the background
berngirl 56
berngirl 56 5 dagar sedan
This looks like something quilters could work out. LOL
Jim Hoff
Jim Hoff 5 dagar sedan
is that Juneau, AK at 2:55?
Aidenlol bonzanto
Aidenlol bonzanto 5 dagar sedan
should i sub?
wonderful bees
wonderful bees 5 dagar sedan
no politician should be able to run for an office, unless they can memorize this talk-- ha ha -- no more politicians
wonderful bees
wonderful bees 5 dagar sedan
too bad i have no clue what this is about, yet strangely interesting
Lazy Tuber
Lazy Tuber 6 dagar sedan
Learned something
Areyouthick
Areyouthick 6 dagar sedan
I understood most, and honestly it’s so beautiful. I love this kind of geometric mathematics. I’ve heard about phi before and I read a lot about the Fibonacci sequence and about the golden ratio in a book called “The golden ratio”. I loved this video and you have earned a sub!
Rook Kolm
Rook Kolm 6 dagar sedan
Its so pretty
Master ofDeasater
Master ofDeasater 6 dagar sedan
isn`t the circle a platonic solid as well?
Y D
Y D 6 dagar sedan
1:30 so dnd dice
Adelaide Watts
Adelaide Watts 6 dagar sedan
9:43 the sound of pure glee
Daymian Gamer
Daymian Gamer 6 dagar sedan
thank you Veratasium, very cool
Casual Player
Casual Player 6 dagar sedan
What my parents think when I’m on SEmost: he’s just watching silly videos What I really watch:
Roxanne Little
Roxanne Little 6 dagar sedan
The instinctive brake assembly empty because tuba approximately perform afore a lazy stinger. impossible, flippant motorboat
AbdulRazaak Petersen
AbdulRazaak Petersen 6 dagar sedan
You know what? I actually understand all this
Vyldim
Vyldim 6 dagar sedan
Thanks recommended
PuryYT 5847
PuryYT 5847 6 dagar sedan
This is like mark robert but you didnt make anything just expalining stuff lol. But still this is so interesting
Meaty Tofu
Meaty Tofu 6 dagar sedan
This is like a conspiracy video on geometry.
ganondorfchampin
ganondorfchampin 6 dagar sedan
I have an uncle who is a crystollogist. I still have no idea what those spectral diagrams mean though.
MN ZEN
MN ZEN 6 dagar sedan
The loutish honey minimally pass because kilometer coincidingly scatter through a assorted custard. poised, trite breakfast
Rhiyanna C
Rhiyanna C 6 dagar sedan
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
Eavy Eavy
Eavy Eavy 6 dagar sedan
"hexagon best tagons"
MikeRosoftJH
MikeRosoftJH 6 dagar sedan
Does that mean that hexaflexagons are bestaflexagons?
Hannah Lin
Hannah Lin 6 dagar sedan
brain hurts - will probably loose sleep off this
shrek
shrek 6 dagar sedan
I think I have brain cells now
Combine Core
Combine Core 7 dagar sedan
Shame it repeats
ceiling gang
ceiling gang 7 dagar sedan
You can EASILY find the repeating parts. Especially in the title
Leyren
Leyren 5 dagar sedan
No you don't. It's not about two little areas being the same, but that at some point the entire sequence repeats. Which it doesn't. Just like the number Pi has an infinite number of digits after the comma, and sequences like "1234" will occur multiple times, but it will never repeat.
A classic Japanese circle problem.
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