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”
Damn, you beat me by two whole days. I only just learned about the 'einstein' tile (not named after famous physicist, but merely the fact that it requires only 1 'stone' [tile]).
I agree, a passionate teacher is so important, because most communication is non-verbal. I wonder if a lot of the modern anti-intellectualism conspiracy theories are due to kids turning off in science because of poor science teachers.
my year 7 science teacher was amazing,childish but not immature of that makes sense.he made science fun for the whole class and was just genuinely a good teacher
Isn't it weird how this could be a lecture in some school and we'd all be falling asleep, but this guy managed to make it so interesting that 3m people decided to watch it?
While studying symmetry in school, I felt it was a boring topic And now here comes this guy who's making every possible boring topic interesting You're just AWESOME!
It is a boring topic, repetitive too; after you learn the first half, you sit through and learn the second half which is basically a mirror image of what you already learned.
Geometry has ALWAYS been a (potentially) fascinating topic, and it's a sad reflection on our way of doing education that generations of people have found it otherwise.
"Grandpa, how did you folks do to poop without having a smartphone?" "We used this great thing called the Penrose ceramic tiling. We never had the same poop in our entire life."
The madlad actually made this video's aspect ratio the golden ratio :D I was so confused until I divided the pixels after watching the video. Nice touch 👍
I'm from Czech Republic and let me tell you - I feel so so happy anytime any random person on the internet mentions our country! We are quite small and don't get mentioned too often!
I Don't Think so I have heard of Czech Republic many times. Mainly on the cover of Classmate(Indian Notebook Brand) Notebooks Mentioning about the beauties of Czech Republic and how important it is to Europe Mainly about a city known as 'Prague'. The Aim of the cover pages is to convey different sort of informative info and helps brand gain attention. But this country is their. I thought it was a small country with high significance in tourism.🙂
Fun fact: Keskuskatu in Helsinki, Finland is tiled with this pattern, and I’ve always felt pretty uneasy about the fact that it doesn’t seem to repeat. Now I know it doesn’t.
I looked it up, it's a square (ironically named now, should be pentagon to retain some of the symmetry, but I can't find an aerial image) tiled with a penrose tiling. Not many good pictures of it, math isn't all that interesting to tourists if it is beyond the price of coffee.
I love how Veritasium has transitioned from physics into geometry, chaos theory and more math topics. Would love to see him cover some of graph theory as well!
Watching that video while having breakfast made me want to try drawing the pattern and test it out for myself. 12 hours and several sheets of paper taped together later, I have something really beautiful on my hands.
As a physics and mathematics major I can’t find any video of Derek’s that isn’t totally enthralling. Let’s all take a moment to congratulate Penrose for his prize and Derek for such consistency and quality in all of his videos. You truly make the world a better place!
lol the same idea occured to me, too: I just added a new note to my 'interior design tips' spreadsheet to create a Penrose-type tiling where possible : ))
Just right now they found the first single tile that tiles the plane aperiodically, calling it "eistein". Amazing breakthrough! It does however require mirroring
Hey Cary! You should also check out jan Misali's video on the topic of all the regular polyhedra, including the Kepler-Poinsot solids, if you haven't already. He's in incredibly talented content creator that also does conlangs.
What are the odds, that you think and found other thinking same, well in general close to zero but sometimes videos like these probability is very high, after watching video I thought I would write - " blown 🤯 " but found this comment which is from a person whom I know, I think I know you
Huge thanks for this!!! I love these mathematical/geometric/pattern discussions. My absute fascination was engaged. I want a Penrose tiling set! By the way, I'm 67, nearly failed my maths 'O' level, ended up trading as a teacher, did an extra maths course after my degree, and became a maths and art specialist (primary - UK). Taught kids tables by using patterns, and colouring them. One class of mine shocked an OFSTED inspector because around half of the kids said maths was their favourite subject..... all because of pattern in maths. And it was all started by my fascination with Fibonnaci (amongst other mathematical patterns)
It is. I was thinking during this video how two penrose pattern slightly rotated and scaled would make an interesting level generator if only there was a formula in stead of a puzzle.
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
The quality is so high. It's like a documentary teachers show you in class if there is spare time except more interesting and more brain-expanding. -sincerely Uel
Stuff like this is what blows my mind. Being at the mercy of mathematics, being able to prove things logically and yet never being able to verify it by observation, how a few simple rules can produce such complex behavior, etc. We really are lucky to be able to explore such things!
we did this in london,it was all one colour wooden,like a paraquet floor, my landlord cut out the above shape and put us to work he paid us in good nutritious food and a laid back attitude to our scrappy cleaning ect
@@potassium6677 if you somehow found a pattern it would mean you had a mental disability which causes you to see things that aren't real / change what you see to look like something else
when i watched this video a year ago, i wondered why the aspect ratio is slightly less wide than the standard 16:9. the answer just clicked in my brain: it's the golden ratio. very nicely done
Today I randomly saw a short showing aperiodic monotile and immediately came back to this video. It is so fascinating to some widely accepted opinion (minimum 2 shapes are required for aperiodic tiling) change Now only one shape is required for aperiodic tiling
there's parts that repeat but the whole thing won't appear twice next to itself / ex. 50% is some structure and the other 50% is that structure, or ex. you have 4 25%s and all 4 are the same thing.....there's lots of randomness
@@stevenmathews7666 What he said then :) You will never find a pattern, as big as it is (even infinite), that will repeat ! This video was so crazy ! So good :)
I don't understand though why any part of those patterns could not be part of the same one infinite pattern. Since it never repeats itself and is infinite, it means that any arrangement we see could be / is part of the flat out infinity of those arrangemnts.
@@Miniclash What you said is indeed possible, it's the same thing that Steven said. Yes you can have small patterns that repeat themselves, but that's not what the video shows. The video tells you that you won't ever be able to find a unique recurrent pattern that you could translate and create a bigger pattern with. There has to be only one pattern that fills the entire space.
update: there’s a new aperiodic monotile, which can’t even tile periodically with its mirror image, or tile at all with it, only ever aperiodic and with its own image. it’s called the spectre, and it’s part of a family of tiles which tile with their mirror images but only aperiodically, with three exceptions at the limits of sizes of the edges. two other ones are the hat and the tortice
12:55 While "five-fold symmetry" can definitely be connected to the golden ratio through the square root of 5, aren't the "0.5" elements in his framing of phi just an accident of base-10 expression? For example, in base-6, the expression would be "0.3 + (5^0.3)*0.3"
If you really want to go down a rabbit hole check out "quantum gravity research" on youtube they are trying to make use of higher dimensional quasi crystals to experiment with theoretical physics in some kind of simulation. Theres alot l of videos now though i started watching when they started.
@@kirbydied2875 learn what critical thinking is. Critical analysis is not necessarily irreconcilable with humor. In fact, I thought his second sentence's observation was funny.
@@AmeshaSpentaArmaiti not serious replies offering an alernative unfunny punchline for the joke, I mean, who wants an unfunny joke? That's just not helpful.
Hands down the most coherent presenter on RUclips. I'm a carpenter who barely made it through Trig and you helped me understand this. You were born to teach
@@jacobshirley3457 it's not what you are thinking, I'm seeing veritesium's content for years but this video's research and presentation was like on another level.
Whenever I watch a veritasim infinite math video it feels like my soul is being lifted into a totally different universe of interconnecting math. Super great videos.
"what exists because we just can't percieve because it's considered impossible?" is such a beautiful and impactful question. how much have we dismissed because we couldn't believe it could exist? how much have we overlooked?
12:55 While "five-fold symmetry" can definitely be connected to the golden ratio through the square root of 5, aren't the "0.5" elements in his framing of phi just an accident of base-10 expression? For example, in base-6, the expression would be "0.3 + (5^0.3)*0.3"
he found 1 example, which required 20,426 tiles, which might be just as annoying "I found this 1 specific example involving 20,426 unique tiles showing that you're wrong"
To be precise: things that repeat are called "periodic". They exhibit "periodicity". The Penrose tiling exhibits what's called "quasi-periodicity"; it's "quasi-periodic".
The fact that there are uncountably many tilings of a penrose pattern is mind blowing. I would love to read the proof of that, and hopefully one day understand it.
Oh god ,imagine it in a restaurant. People would go insane seeking for a pattern. You know when you're bored at a dinner and you seek patterns on wall tiles?
@@eval_is_evil I would be not insane, but amazed, - tile that so perfectly fits, but never repeats... actually, before this video I thought this is impossible
I've spent time looking for the pattern in the wall of a campsite bathroom (I did manage to find one), I don't want to think how long I would be looking for one in a restaurant.
There is a street in my city that is tiled in a penrose pattern. I’ve always stared at it trying to find the repetition and now I understand why I could never find it.
hmm, as kid was fascinated by actual tiles and mosiac pattern and tried to find the repeats. Hit teens and was stultified by teachers telling me formulas and then supporting evidence in jumbled fashion. This video absolutely clicked with me, might explain why I have been so unsettled choosing a tile pattern for the bathroom...
A fun fact I actually learned a while ago is you know how they have those survival shows where it's one man and a camera but there's shots of them walking away and doing all kinds of things going really far away from the camera, they always have to shoot that and then go all the way back for the camera lol. Always thought that was hilarious.
@@MoustacheMedic you innocent puppy. these people are not alone. never. the camera equipment alone would be too heavy to carry around for one person. the burden to do proper filming while "surviving". They are always in a team and if you think about people like bear grills, they were not even far from civilization in their clips either
I know I'm late, but this video was my "full circle" moment. My entire life I've recreationally obsessed over cosmology and physics; at 16 the golden ratio and fibonacci sequence kickstarted my interest in math - I had harsh awakenings to the real world that removed me from finishing my education but I overcame them and returned to acedemia in 2023 for computer science. My "free time" was not wasted - I consumed every and anything from science communicators that most notably led me to Penrose. After hundreds of hours watching lectures, contemplating the foundations of science I kept coming back to the same points of contention such as locality, the measurement problem, the hubble constant discrepency, g-2 experiment, schrodingers cat and imaginary numbers, which all seem to be indicating new physics at work but the most simple of explanation that I was looking for was never really answered "Whats up with the golden ratio appearing in nature?" . Que this video - which came out 3 years ago; I wouldn't have been prepared to truly understand the significance of these concepts until today and I'm certain that the tile is being laid, one at a time, to some new knowledge to be infered from reality. Thank you for everything that you do.
Wow I both love and hate that nature allows non-perfect symmetry. And this “can never tell which patter you’re on” sounds suspiciously close to some descriptions of parallel universe. Which is really cool.
It may sound like the infinite parallel universe theory, but at it's core, what IS the infinite parallel universe theory, if not a set of infinite patterns?
You get a similar idea on regular, vanilla tilings. If you get dropped on an infinite hexagonal tiling, you can never know which angle you're facing. (You can only know up to multiples of 60 degrees.) There's a similar deal with Penrose tilings, by the way. You can have at most one point of true 5-fold symmetry and no point of 10-fold symmetry. But if you get dropped on a Penrose tiling facing a random direction, and you can only see finitely much of it at once, you can only know what direction you're facing up to multiples of 1/10 of a turn (36 degrees).
@@Mernom no, those multiples parallel universes hipothesis is not what is commonly said on internet in fiction. There is the multiple words interpretations of quantum mechanics that only account for the uncertainty of particle being in multiple place at once (it will not make you the president in a parallel universe). And in the hyperinflation where bubbles of slow expanding universe could form in a never ending hyper inflating macro universe.
It’s God Way of keeping us humble. The universe will always continue to keep us curious and yet make sense at the same time. “Our hearts are restless until they rest in you oh lord”
Absolutely loved this video!! but it is very near 4/1/2023, but not quite yet, where is our video on the 13 sided "Einstein Tile" my friend?????!?!?!!!!!!!
This is one of the best demonstration I have ever seen... The Golden Ratio, Fibonacci series hiding in those simple looking patterns is unbelievable. The way he explains complex concepts like nothing is an unmatchable skill.
Your bit about infinity, how there are an infinite number of patterns made me think of the multiverse theory. Some people focus on how in the multiverse there could be wildly different things than we're used to, but there could also be an almost identical replica, so infinitely near perfect that it'd be impossible to ever know the difference.
Very deserving! He pretty much proved that black holes are entirely possible. He actually split the award with two other people Andrea Ghez and Reinhard Genzel who discovered the black hole at the center of the Milky Way.
Xeno Kudatarkar Video compression works by simplifying RGB and chroma data in patterns. The fewer patterns(repetition), the less effective the algorithm. Then you get a blurry or blocky picture. :)
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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”
Congratulations to him, he genuinely deserves it!
Hi
This video triggered everything inside of me
Roger penrose was a close friend and research partner of stephen hawking.....he totally deserves it
Was this planned by you to time it with the announcement?
This reminds me of an old saying we have here: "Everyone said that it was impossible. Then someone came who didn't know that and just did it."
Ikr
Pretty much the speedruning community in a nutshell honestly.
Or in other words, it seems impossible uniting it done?
Kinds like the fandom and the tollbooth
@@prajuktadeyy nothing is impossible UNTIL it's done?
Like the PHANTOM tollbooth?
:D
One of the most interesting classes I ever had
Bruh
Is this a normal coment???
@@stefanleu4278 er yeah
@@AFKBIN lol
@@AFKBIN oh hi there
I feel like i learnt alot while learning nothing at the same time
Just like school
The best way to describe it is learning a lot of useless information
Same
@@RAHHHSCREWYOU yeah i was just joking
or was I?
*Vsauce music plays*
DITTO
They've recently discovered a single tile that accomplishes the same thing on its own! Would love to see this revisited.
It is a 13-sided hat shape. It looks like the black Jamiroquai hat. I can’t wait to see a video about that either.
Damn, you beat me by two whole days. I only just learned about the 'einstein' tile (not named after famous physicist, but merely the fact that it requires only 1 'stone' [tile]).
Came here for the same reason
Yes! That's why I'm here again
YES
This man's enthusiasm, individuality, and presentation is quite the treat. These are the types of teachers kids need to stay focused and excited.
I agree, a passionate teacher is so important, because most communication is non-verbal. I wonder if a lot of the modern anti-intellectualism conspiracy theories are due to kids turning off in science because of poor science teachers.
Is he a teacher or is he just someone like us
@@UserName-ii1ce he has a phd in physics education research so he is very passionate in improving the way topics like these are taught to people
The man is a genius
my year 7 science teacher was amazing,childish but not immature of that makes sense.he made science fun for the whole class and was just genuinely a good teacher
Isn't it weird how this could be a lecture in some school and we'd all be falling asleep, but this guy managed to make it so interesting that 3m people decided to watch it?
school forces you to learn, this video is optional and encourages curiosity.
Ghost Anon your comment makes no sense
yeah why are we all here rn 😭
@@inzaghi8935 Unfortunately, that says more about you.
@chilled Give Ghost Anon a break, they were in a really disruptive school.
All I was thinking throughout this whole video was:
"I have to remember this when I'm tiling my bathroom in my house when I'm older"
Lol
I'll help u do that
Yes, same. It'd be quite intriguing to pull it off and still look fairly cool
dont bother, it would just be fu-tile...
(hey, he said it in the video, dont blame me for the bad pun)
RIGHT?! XD
While studying symmetry in school, I felt it was a boring topic
And now here comes this guy who's making every possible boring topic interesting
You're just AWESOME!
Him: it's not that complicated.
*Proceeds to explain the 4th dimension*
Had some crazy flashbacks of being back in school making those same patterns with wooden shapes. Pretty cool.
It is a boring topic, repetitive too; after you learn the first half, you sit through and learn the second half which is basically a mirror image of what you already learned.
Geometry has ALWAYS been a (potentially) fascinating topic, and it's a sad reflection on our way of doing education that generations of people have found it otherwise.
@@BenDRobinson you have to take age into account. What you feel interesting now is not the same as then.
Imagine having Penrose tiling in your bathroom floor. It's a very cool pattern, it'd be great to look at while you're otherwise occupied.
SHITTING YOU MEAN
I'd stare at it until my bum was dry
"I didn't do my homework the floor was too interesting"
I want to retile my entire bathroom now.
"Grandpa, how did you folks do to poop without having a smartphone?"
"We used this great thing called the Penrose ceramic tiling. We never had the same poop in our entire life."
The madlad actually made this video's aspect ratio the golden ratio :D I was so confused until I divided the pixels after watching the video. Nice touch 👍
Same here
No really?
I can confirm, nice catch :D
Yeah... same 🤥
@@Luke-zw5el yep :D 1748/1080=1,61852 (close enough)
I'm from Czech Republic and let me tell you - I feel so so happy anytime any random person on the internet mentions our country! We are quite small and don't get mentioned too often!
I'm from Czech to and I feel the same
The feel of any random country from Latam...
I Don't Think so I have heard of Czech Republic many times. Mainly on the cover of Classmate(Indian Notebook Brand) Notebooks Mentioning about the beauties of Czech Republic and how important it is to Europe Mainly about a city known as 'Prague'. The Aim of the cover pages is to convey different sort of informative info and helps brand gain attention. But this country is their. I thought it was a small country with high significance in tourism.🙂
as someone who plays geoguessr I see it all the time 😂
Derek is hardly "any random person from the internet".
Fun fact: Keskuskatu in Helsinki, Finland is tiled with this pattern, and I’ve always felt pretty uneasy about the fact that it doesn’t seem to repeat. Now I know it doesn’t.
I looked it up, it's a square (ironically named now, should be pentagon to retain some of the symmetry, but I can't find an aerial image) tiled with a penrose tiling. Not many good pictures of it, math isn't all that interesting to tourists if it is beyond the price of coffee.
I thought this pattern looked familiar, that's pretty cool
I allways thought it did repeat on some level but now i know it doesn’t
Thanks for this! I hadn't noticed it before, but I gotta go there and see it for myself the next time I go to the capital.
The pattern doesn't repeat but it does contain the Fibonacci sequence which means there is an ORDER that is special.
I love how Veritasium has transitioned from physics into geometry, chaos theory and more math topics. Would love to see him cover some of graph theory as well!
Yes bro
Vsauce and Veritasium . the two gems
but what are gems????????????
What he really needs to cover is social justice and how white supremacy causes people to believe this "science" is true.
@@LouSaydus are you suggesting that non-white people are unable to think with the sophistication presented here? If yes, you are racist.
I mean, these are all things that were briefly discussed in my physics BA, but yeah they're mostly math-y
“The time you waste will accumulate over your life time” I didn't need that personal attack today, thanks Derek
.
udaynath290493 i actually read this heen he said this
"you might look further out, but it's fu*tile*" :P
@@Koningg_ ME TOO! :D
Watching that video while having breakfast made me want to try drawing the pattern and test it out for myself.
12 hours and several sheets of paper taped together later, I have something really beautiful on my hands.
As a physics and mathematics major I can’t find any video of Derek’s that isn’t totally enthralling. Let’s all take a moment to congratulate Penrose for his prize and Derek for such consistency and quality in all of his videos. You truly make the world a better place!
I haven’t enjoyed a video of his for years
@@westernbrumby why so?
@@westernbrumby lol
“As a physics and mathematics major”
someone should start a home renovation company called Penrose Tiling Company. specialize in bathroom tiling, tile flooring, and roofing or something
lol the same idea occured to me, too: I just added a new note to my 'interior design tips' spreadsheet to create a Penrose-type tiling where possible : ))
@UCB7yFRL1a7G4b18-GynCNJg hehe, nice. Thanks for the heads up! ;)
"Penrose Tiling. Making people high without drugs!"
@@mihan2d LMFAO
there is areason there isnt one, it wouldnt work
Just right now they found the first single tile that tiles the plane aperiodically, calling it "eistein". Amazing breakthrough! It does however require mirroring
Einstein, German for "one stone",
the latest variant found (in or before summer 2023) is called Spectre (not the Bond movie)
They found a variant which doesn't require mirroring also too!
@@fishxw That's awesome!!! Amazing how geometric discoveries are still being found today
Cool!
Whoa, the animations at 7:30 really helped me understand Penrose tiling better than anything I've seen before :O
well hello carykh nice to see u here
Cary Kite-piece Hobbyist
Hey Cary! You should also check out jan Misali's video on the topic of all the regular polyhedra, including the Kepler-Poinsot solids, if you haven't already. He's in incredibly talented content creator that also does conlangs.
Yo hi cary
Hey Cary!
My mind was blown several times through the course of this video, well done.
Maths : QUESTION
Factor high degree polynomial
ruclips.net/video/D99PASilPrY/видео.html
See one time
true
@@mr.knight8967 IT'S FU-TILE 11:48
What are the odds, that you think and found other thinking same, well in general close to zero but sometimes videos like these probability is very high, after watching video I thought I would write - " blown 🤯 " but found this comment which is from a person whom I know, I think I know you
Go ahead and try the Banach-Tarski paradox over on Vsauce.
11:49 "It's futile"
No, it's many tiles.
I hate that I broke out laughing to this
Gah you beat me to it. Although I was going to go with "fu-tile".
How 'bout 'few-tile'?
💀💀💀
Fulltile.
Huge thanks for this!!! I love these mathematical/geometric/pattern discussions. My absute fascination was engaged.
I want a Penrose tiling set!
By the way, I'm 67, nearly failed my maths 'O' level, ended up trading as a teacher, did an extra maths course after my degree, and became a maths and art specialist (primary - UK). Taught kids tables by using patterns, and colouring them. One class of mine shocked an OFSTED inspector because around half of the kids said maths was their favourite subject..... all because of pattern in maths. And it was all started by my fascination with Fibonnaci (amongst other mathematical patterns)
For people who love geometry, this is just absolutely inspiring.
It is. I was thinking during this video how two penrose pattern slightly rotated and scaled would make an interesting level generator if only there was a formula in stead of a puzzle.
Nah man, I keep dying in geometry.😤
For people who hate* (me)
Geometry is for little kids
@@Louganda Said by "ugandan chad" lmao
“Wang’s Conjecture was false.”
Me, through a mouthful of chips, not understanding a word of this: “Haha, what a loser.”
HAHAHAHAHAHAHA
hahahahha
"He forgot to incorporate gravity, i was wondering why he didnt do that" ~Brian Regan with bag of Cheetos
This made me laugh out loud a lot 🙌🏽
You no mess with Lo Wang
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
Only diffs with your teacher are the animations and video edition.
You should ask your teacher to animate things and edit in real time life.
My teacher just Googles up a website and tells us to copy it
Because school just exists to make you obedient lol
@@LisaBeergutHolst That's what teachers want you to believe.
The quality is so high. It's like a documentary teachers show you in class if there is spare time except more interesting and more brain-expanding. -sincerely Uel
This whole Golden Ratio is fascinating. It keeps popping up all over the place. I dig it.
Phi, pi, and especially e, they're like a curse, look literally anywhere and you'll find them.
jojo fan will ruin this comment
@@albertskunik gyro zeppeli approves
Ratio 😎
@@albertskunik Jojo fans are the real golden ratio all along. They literally are everywhere. You can't escape them.
Stuff like this is what blows my mind. Being at the mercy of mathematics, being able to prove things logically and yet never being able to verify it by observation, how a few simple rules can produce such complex behavior, etc. We really are lucky to be able to explore such things!
Math is awsome and beautiful and everybody likes it!
Haters gonna hate.
deus vult I can’t stand math, but I will admit if you’re good enough at it you can do anything given the tools
If a floor was tiled with this anti-pattern, I think it would drive me slowly to madness looking for a pattern
i mean, there is a pattern, it's just an infinite hierarchy
we did this in london,it was all one colour wooden,like a paraquet floor, my landlord cut out the above shape and put us to work he paid us in good nutritious food and a laid back attitude to our scrappy cleaning ect
im te kind of person to actually find the pattern
I can kinda see matching points, almost like symmetry
@@potassium6677 if you somehow found a pattern it would mean you had a mental disability which causes you to see things that aren't real / change what you see to look like something else
when i watched this video a year ago, i wondered why the aspect ratio is slightly less wide than the standard 16:9. the answer just clicked in my brain: it's the golden ratio. very nicely done
Is anyone else here seriously excited to learn this stuff like I don't think I've ever been so thrilled by a math lecture
Na
euridite
School wants kids dumb
Presentation is everything
Same! Seeing the 'rules' of science being broken down and applied in new, strange ways is seriously cool.
Builder: So what kind of tiles you want in your bathroom then?
Veratasium: Well....
Underrated
bore off
wouldnt that be the ultimate ocd trigger?
i read that as Veritaserum-
@@starryeyedgirls I see your from the sua too lol
if it doesnt repeat does it even classify as a "pattern" anymore?
you ruined everything, stop you have much power
It does because it follows certain rules
You might be right, might just be like a lattice or maybe just a grid? Don't know
Sometimes the fact that nothing makes a pattern is a pattern in itself
@@santiago_moralesduarte tell me, what are the rules
Today I randomly saw a short showing aperiodic monotile and immediately came back to this video. It is so fascinating to some widely accepted opinion (minimum 2 shapes are required for aperiodic tiling) change
Now only one shape is required for aperiodic tiling
IT'S THAT DAMNED GOLDEN RATIO AGAIN! IT'S INESCAPABLE!
MATH IS A JOJO REFERENCE.
Must be some geometric magic
The only non jojo reference in the world is... OTHER ANIMES
@@St3lla-MaR1s exactly
@@field5758 The magic of 5-fold symmetry.
"daddy, what do you do?"
"I look at shapes"
"That sounds easy"
"Well I also look at colours!"
??? I don’t get it
well that throws a wooden shoe into it.
@@trystankitty5393 you didn’t watch the video??
Yes daddy.
@@carolinesmercantile4290 and matches
“Well it’s infinite, so it’s gotta repeat at SOME point, right?”
Scientists: “lmao no”
there's parts that repeat but the whole thing won't appear twice next to itself / ex. 50% is some structure and the other 50% is that structure, or ex. you have 4 25%s and all 4 are the same thing.....there's lots of randomness
@@stevenmathews7666 What he said then :)
You will never find a pattern, as big as it is (even infinite), that will repeat !
This video was so crazy ! So good :)
I don't understand though why any part of those patterns could not be part of the same one infinite pattern. Since it never repeats itself and is infinite, it means that any arrangement we see could be / is part of the flat out infinity of those arrangemnts.
@@Miniclash What you said is indeed possible, it's the same thing that Steven said. Yes you can have small patterns that repeat themselves, but that's not what the video shows. The video tells you that you won't ever be able to find a unique recurrent pattern that you could translate and create a bigger pattern with. There has to be only one pattern that fills the entire space.
@@camstudiosfrmd8 I'm trying _extremely_ hard to understand this, and I feel like I'm close to understanding. It's just so confusing
update: there’s a new aperiodic monotile, which can’t even tile periodically with its mirror image, or tile at all with it, only ever aperiodic and with its own image. it’s called the spectre, and it’s part of a family of tiles which tile with their mirror images but only aperiodically, with three exceptions at the limits of sizes of the edges. two other ones are the hat and the tortice
When I saw the golden ratio and fibonacci sequence, I was like
"Oh yeah, it's all coming together"
But in reality,
I still don't understand a thing.
This guy gets it
I came here to comment something similar. But you said it best :D
You said the exact thing what everyone felt while watching this video but could not gather guts to accept.
12:55 While "five-fold symmetry" can definitely be connected to the golden ratio through the square root of 5, aren't the "0.5" elements in his framing of phi just an accident of base-10 expression? For example, in base-6, the expression would be "0.3 + (5^0.3)*0.3"
If you really want to go down a rabbit hole check out "quantum gravity research" on youtube they are trying to make use of higher dimensional quasi crystals to experiment with theoretical physics in some kind of simulation. Theres alot l of videos now though i started watching when they started.
Honestly, this is quite entertaining. I didn’t expect patterns to spark my interest today-
Exaclty
Neither than i but if you like learning but funni watch sam 'o nella academy
Neither did I but honestly I never know anymore yesterday I was watching some guy make a unpickable lock
Well I is 3 am so
Imagine being someone like me, finding them interesting during everyday life
I’d like to point out this dude hated his professor so much, he looked at 20,000 squares just to prove him wrong
@@AmeshaSpentaArmaiti its a joke dude...
@@AmeshaSpentaArmaiti learn what a joke is
@@kirbydied2875 learn what critical thinking is. Critical analysis is not necessarily irreconcilable with humor. In fact, I thought his second sentence's observation was funny.
Ight
@@AmeshaSpentaArmaiti not serious replies offering an alernative unfunny punchline for the joke, I mean, who wants an unfunny joke? That's just not helpful.
Ive never said this in my like, 10 years if watching youtube, but I wish I could pay you for making videos this good.
Me: Gives this pattern to the guy tiling my kitchen
Tile guy: Sweats profusely
This guy always have a saw, so no problem
"What a weird parquet..."
He'll find a way to screw it up
My OCD would kill me. Btw how big is your kitchen so you need an infinite pattern? xD
Lmao😁
@@teadude: how big is your kitchen that it needs an infinite pattern?
Me: *YES*
This was probably the most amazing thing I’ve ever seen in mathematics. The way this video is put together is incredible. Well done
Freemasonry is all about the golden ratio. Most of the famous old buildings in the United states used the gold ratio in its construction.
um..yeah.
There are so many interesting properties of aperiodic tilings and quasicrystals. Keep looking! :)
🎶When a grid's misaligned with another behind
That's a moiré🎶
🤣😂😅☺️😊
And the bit raaaaate dies that’s a moire
When you've had too much wine that's a moiré
*_bells-_*
*bells ring*
that's really smart!
Your visualisations are stunning. Such intricate patterns, drawn so beautifully
Hands down the most coherent presenter on RUclips. I'm a carpenter who barely made it through Trig and you helped me understand this. You were born to teach
My good sir you're gorgeous. More power to you too. I love people spreading love.
And you were born to study it because half of us here are still totally in the dark after watching the video :D
You should take a look at a channel called Smarter everyday. Destin is an awesome presenter. Keeping it fun at the same time makes learning easier
This is like an insane amount of research and brain in one video of RUclips, especially in this time!
Welcome to the channel.
@@jacobshirley3457 it's not what you are thinking, I'm seeing veritesium's content for years but this video's research and presentation was like on another level.
@@piyushpatel2836 Have you watched the recent videos?
Hats off for the editor, most mind-blowing animation I've ever seen
Animations by Iván Tello and Jonny Hyman, video was also edited by Hyman
Whenever I watch a veritasim infinite math video it feels like my soul is being lifted into a totally different universe of interconnecting math. Super great videos.
"what exists because we just can't percieve because it's considered impossible?" is such a beautiful and impactful question. how much have we dismissed because we couldn't believe it could exist? how much have we overlooked?
Aliens.
Bisexual erasure be like;
Plenty.
@@obscurity3027
icier
:)
time travel be like cmon guys im waiting for u to discover me, or am i because i am time :000
11:49 "It's futile."
No man, it's very many tile.
humorous joke my good man
Dad?
It's infinitile?
It's Tilenol.
*Deep Inhale*
I didn’t need an existential crisis about pentagons.
They solved it. Pay attention.
Roland Duson they made a joke, pay attention.
@@LordLongHands You're so boring and typical.
*Deep Inhale*
Science says otherwise.
@@Roland_Duson it's more boring and typical to miss the joke my friend.
It's a stunning combination of being mind-blowing, counterintuitive, and breathtakingly beautiful.
When he said about golden ratio ..I was seriously smiling with goosebumps..and when he said about Fibonacci sequence my mind can't take it anymore
I KNOW RIGHT I FEEL YOU
Check out 3Blue1Brown's video, "the most unexpected answer to a counting puzzle"
12:55 While "five-fold symmetry" can definitely be connected to the golden ratio through the square root of 5, aren't the "0.5" elements in his framing of phi just an accident of base-10 expression? For example, in base-6, the expression would be "0.3 + (5^0.3)*0.3"
@@secularmonk5176 It is. At this point I am not sure if he is trolling us or getting on a phibonacci number-cracking train
@@ivanerofeev1269 I guess it would be more appropriate to say "the expression of phi in base-10 is the MOST FIVISH way to describe the value"
6:10 The ultimate smartass student, all raising his hand like: "Um, professor? I found 20,426 examples of how you're wrong."
katie kawaii lol
he found 1 example, which required 20,426 tiles, which might be just as annoying "I found this 1 specific example involving 20,426 unique tiles showing that you're wrong"
he should be put into hope peaks academy for being an ultimate
LMAO
He got nothing to do and he started to connect things to find something
I came here to look for a cool tiling pattern for my kitchen
I have now left with a degree for geometry
i think i just proved my teacher wrong and now teach geometry to the french
Aarav swamy what
@@nekomimitheiii6091 bro?
How big is your kitchen?
Lmao
Someone did it! Found one shape that when put together never repeats!!
imagine if keppler was resurrected, he must be so frustrated that he almost figure it out
No, he'd be very proud because he was in the right path
Love the profile picture
@Scom Tott nah nah, it's: Jowaness Keiper. Because why not?
I think he would be proud. Because he WAS right!
@@ryangraham6878 Still is right.
It's interesting that Kepler was so close to the answer, imagine how far a leap that would have been
After watching this
*Me looking at my carpet patterns*
hmmm...periodically
😂😂😂
*looks down at throw rug*
"this looks like a Nascar race track....."
*breaks out the hotwheels*
doubleutubefan5 awesome
The Einstein Tile has been found!!!! Someone tell this man to do a follow up video.
11:49 "it's few-tile"
Well played
If only I were this clever
@@veritasium Hi!
Definition of a pattern: "It must repeat"
Penrose Tiling: "Hold my rhombus"
team sucks lol
Dont care didn’t ask
Lol 😂
To be precise: things that repeat are called "periodic". They exhibit "periodicity". The Penrose tiling exhibits what's called "quasi-periodicity"; it's "quasi-periodic".
LOL!! Thank you SO much! I needed that!
My parents thought about renovating the upstairs bathroom, I think I just found the perfect floor tiles!
This video will start a trend, for sure.
imagine the poor guys having to set those tiles :))))
Perfect for when your bathroom is infinitely large and you hate reptition
yep.. i thought.. " that's our patio sorted " at one point
You guys have an upstairs bathroom 🙃
great video; I've been looking for rigorous but recreational math content like this on RUclips for years!
Honeycomb cereal sales increase exponentially
stonks
@@jerg yes my memory of the URL has led me to not get rickrolled
@@jerg that video made me very sad, I hope people see this more ;-;
@@sohampatil1392, Much better than Docker's spam
hehe Get them scammers! try honeycomb to seduce scammers!
*Something happens*
Golden ratio: hello there
GENERAL RATIO!
You are a bold one
This video's aspect ratio
e & pi together with phi, looking at the sofa constant
The angel from my nightmare
@@jmir1 Sadly not, would be sooo amazing if it was though
The beauty of geometry is amazing and the way everything connects to each other is nothing less than mind blowing.
The fact that there are uncountably many tilings of a penrose pattern is mind blowing. I would love to read the proof of that, and hopefully one day understand it.
Something about predictable randomness that is just so beautiful
All I need is some tiles on my kitchen wall with a non repeating pattern
Now you know how.. You'll just have to decide your 2 base shapes.
Oh god ,imagine it in a restaurant. People would go insane seeking for a pattern. You know when you're bored at a dinner and you seek patterns on wall tiles?
@@eval_is_evil I would be not insane, but amazed, - tile that so perfectly fits, but never repeats... actually, before this video I thought this is impossible
I've spent time looking for the pattern in the wall of a campsite bathroom (I did manage to find one), I don't want to think how long I would be looking for one in a restaurant.
😂😂😂😂
The demonstration with the overlaying sheets blew my mind
Yeah that part was dope!
What you tak abot?
Same
And blew the RUclips compression algorithm too
What's the timestamp please?
There is a street in my city that is tiled in a penrose pattern. I’ve always stared at it trying to find the repetition and now I understand why I could never find it.
hmm, as kid was fascinated by actual tiles and mosiac pattern and tried to find the repeats. Hit teens and was stultified by teachers telling me formulas and then supporting evidence in jumbled fashion. This video absolutely clicked with me, might explain why I have been so unsettled choosing a tile pattern for the bathroom...
The lady at 0:31 was sooo confused why this man just set up his camera on a tripod and walked away from it and into a store
well noticed! Her confused state made me laugh so hard.
A fun fact I actually learned a while ago is you know how they have those survival shows where it's one man and a camera but there's shots of them walking away and doing all kinds of things going really far away from the camera, they always have to shoot that and then go all the way back for the camera lol. Always thought that was hilarious.
I literally rewatched that and cracked up. Thanks for that mate!
lmao
@@MoustacheMedic you innocent puppy. these people are not alone. never. the camera equipment alone would be too heavy to carry around for one person. the burden to do proper filming while "surviving". They are always in a team and if you think about people like bear grills, they were not even far from civilization in their clips either
9:15 "As i rotate around, you can see"
RUclips's compression algorithm: No I don't think they will
Godly comment right here lol
i can see it
I can not put into words how satisfying all these connections and relations are
17:00 "Icosahedrons are known to be the most forbidden shape"
Me: *nervously eyes dnd dice bags*
Ah, yes the tetrahedron, is better known as a D4. A Cube as a D6, An Octahedron as a D8. A Dodecahedron as a D12. And an Icosahedron as a D20.
and Plato as DM
@@simonmacomber7466 doesn't it sound better as hexahedron? instead of kewbe, as if it fell on its head.
don't summon the demogorgon
@@simonmacomber7466 jkf
u null uth uh hj op kp
I love when math people describe stuff as “the most five-ish” which makes absolutely no sense but makes a ton of sense at the same time
I love when people describe stuff as "math people" which makes absolutely no sense but makes a ton of sense at the same time
@@Jordan.... clever….
I’d like your comment but it has 555 likes…
@@kaioken9997 The most five-ish likes
@@yaywippee hahahahah
Imagine finding over 20,000 tiles so that you could prove your professor wrong
Yup XD second reply ez
the pure spite is respectable
Yup XD fifth reply ez
Yup XD seventh reply ez
the things students can do out of spite
I know I'm late, but this video was my "full circle" moment. My entire life I've recreationally obsessed over cosmology and physics; at 16 the golden ratio and fibonacci sequence kickstarted my interest in math - I had harsh awakenings to the real world that removed me from finishing my education but I overcame them and returned to acedemia in 2023 for computer science. My "free time" was not wasted - I consumed every and anything from science communicators that most notably led me to Penrose. After hundreds of hours watching lectures, contemplating the foundations of science I kept coming back to the same points of contention such as locality, the measurement problem, the hubble constant discrepency, g-2 experiment, schrodingers cat and imaginary numbers, which all seem to be indicating new physics at work but the most simple of explanation that I was looking for was never really answered "Whats up with the golden ratio appearing in nature?" . Que this video - which came out 3 years ago; I wouldn't have been prepared to truly understand the significance of these concepts until today and I'm certain that the tile is being laid, one at a time, to some new knowledge to be infered from reality. Thank you for everything that you do.
Saving this to my “don’t watch while you’re high” playlist
Saving this to my “watch while you’re high” playlist
Thank you for the idea of that playlist
@@1TieDye1 I concur 😁
Even watching this one sober put me in that state a bit ✨
I love that you actually made a playlist just for this vid, Yes, i checked haha
Too late. I just learned a lot about the fabric of spacetime.
Haha, 420 likes :D
Wow I both love and hate that nature allows non-perfect symmetry.
And this “can never tell which patter you’re on” sounds suspiciously close to some descriptions of parallel universe. Which is really cool.
It may sound like the infinite parallel universe theory, but at it's core, what IS the infinite parallel universe theory, if not a set of infinite patterns?
You get a similar idea on regular, vanilla tilings. If you get dropped on an infinite hexagonal tiling, you can never know which angle you're facing. (You can only know up to multiples of 60 degrees.)
There's a similar deal with Penrose tilings, by the way. You can have at most one point of true 5-fold symmetry and no point of 10-fold symmetry. But if you get dropped on a Penrose tiling facing a random direction, and you can only see finitely much of it at once, you can only know what direction you're facing up to multiples of 1/10 of a turn (36 degrees).
It reminded me of an old vsauce video about how many different infinities there are.
@@Mernom no, those multiples parallel universes hipothesis is not what is commonly said on internet in fiction.
There is the multiple words interpretations of quantum mechanics that only account for the uncertainty of particle being in multiple place at once (it will not make you the president in a parallel universe).
And in the hyperinflation where bubbles of slow expanding universe could form in a never ending hyper inflating macro universe.
It’s God Way of keeping us humble. The universe will always continue to keep us curious and yet make sense at the same time. “Our hearts are restless until they rest in you oh lord”
The 20 sided, I know that one!
yo
Hi chef
Chef Paul! Love your Food Wars videos!
DnD people show yourselves here !
I know it from 20-sided dice in Role Playing Games!
Absolutely loved this video!! but it is very near 4/1/2023, but not quite yet, where is our video on the 13 sided "Einstein Tile" my friend?????!?!?!!!!!!!
This is one of the best demonstration I have ever seen...
The Golden Ratio, Fibonacci series hiding in those simple looking patterns is unbelievable.
The way he explains complex concepts like nothing is an unmatchable skill.
This is more interesting than the class that I’m in right now
Ikr you learn more in your normal life. School barely teaches me anything I learn everything by doing it
This is more interesting then the class I’m supposed to be in rn
ChillinCloud yea ngl
Same lol
Abad your eyes admiral, Useless knowledge is temporary, but service to the empire is eternal
This gives me a surprising thought that life and maths is a lot more than just solving it.
ruclips.net/video/3zudxbyIgHo/видео.html 😂
Watch the documentary The Code on Netflix
Maths applies to everything
@@ericlaska4748 totally agree with it 👍👍
Your bit about infinity, how there are an infinite number of patterns made me think of the multiverse theory. Some people focus on how in the multiverse there could be wildly different things than we're used to, but there could also be an almost identical replica, so infinitely near perfect that it'd be impossible to ever know the difference.
My small ass brain just pretending to know what he's saying: *mm yes ah yes mhm yes indeed quite correct*
That’s me lmao 🤣🥲😭
can relate
lmaooo same
Lol same
Mm, yes, dodecahedron... 🤔🤔
I love everything about this, it’s so satisfying in so many ways-this is incredible, thank you for talking about it
Agreed jacks :)
c e l e s t from m a d e l I n e
@@Kataiser i want to report my payment on 29th, i did not see bill come so i checked it's overdue i dont want to be stung late fee plz
Right? Normally high level stuff like this makes no sense to me, but this did and in like a really beautiful way
a fellow mountain climber, I see
I’m gonna pretend that I know exactly what he’s talking about
Golden ratio
Most impressive and acceptable theory explanation
ruclips.net/video/DIrvM1gcnPU/видео.html
Sarath chandran thanks I’ll watch it later if it’s not a rick roll lol
wait an i actually smart or sum cause i mostly understand nah it's probably just cause it's 3 in the morning my brain is extending
As good a place as any to start.
@@paulembleton1733
ruclips.net/video/-tabN6Z385w/видео.html
Time for an update...both for the Einstein tile, and for the LastPass sponsor. lolol
Roger Penrose got the 2020 Nobel Prize in Physics
Very deserving! He pretty much proved that black holes are entirely possible. He actually split the award with two other people Andrea Ghez and Reinhard Genzel who discovered the black hole at the center of the Milky Way.
2ND! read my name
@@1202-k3g No
@@1202-k3g GO away !
@@1202-k3g sub beggars
“The time you waste will accumulate over your life time” This gives me some CGP Grey vibes
Wasting time by watching this video
RUclips agrees, my first recommended video from this one literally is CGP Grey
yeah but this is derek of veristablium
It's also what I say to myself every day.
@@LoneWolf-wp9dn you mean drek of vebistarium?
Students: Learning shapes is for kids!
Shapes: *•-•*
I don't understand why you couldn't have written this out as a sentence instead of a exhausted meme format that is renowned for being a like farm.
Vorshack uhh... what?
Lol
Vorshack wtf
Vorshack ar u oke
1:23 "there are just five platonic solids."
*jan Misali would like to have a word.*
Moire pattern: exists
RUclips quality: adios
Compression algorithm: *sweats profusely*
Xeno Kudatarkar
Video compression works by simplifying RGB and chroma data in patterns. The fewer patterns(repetition), the less effective the algorithm. Then you get a blurry or blocky picture. :)
Maths : QUESTION
Factor high degree polynomial
ruclips.net/video/D99PASilPrY/видео.html
See one time
@@timothymiddleton6651 I think you can force it is to use less compression, not sure about h264.