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]).
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.
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.
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.🙂
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.
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.
"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."
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"
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?
Just right now they found the first single tile that tiles the plane aperiodically, calling it "eistein". Amazing breakthrough! It does however require mirroring
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
@@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.
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)
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!
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 👍
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
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".
I love the video. It’s really astounding how you are capable of explaining it in a way that makes it sound easy and fun to explore. Also, at 09:40, during the pattern overlap, I could have sworn a saw a face looking at me. I might be haunted….
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!
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
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.
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.
@@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.
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!
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.
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
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
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
That was especially nice episode, thanks. I waited the Penrose tiling coming and of course it came, and then there was that golden ratio planted in your tiling too. Lovely, indeed.
Are you talking about Wang? Maybe you should learn the difference between conjecture and theory. No one would (or at least should) be upset that their conjecture was proven false.
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"
Hands down the most coherent presenter on UA-cam. I'm a carpenter who barely made it through Trig and you helped me understand this. You were born to teach
@@mysticman8110 how about you publish a scientific paper with the facts just like everyone else. Then we wont need you here advertising. All i know know is to avoid whatever youre selling because the type of business that would use these advertisments cleary isnt ethically sound by any means. Thanks for the warning.
@@sirsnek6562 it was a garbage advertisement for some website about "the truth of life/death". Very dishonest in the wording, the message, and the way it was conveyed. I hope they deleted it rather than it being taken down but it was an ad so i doubt it.
"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?
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. :)
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.
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
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.
> How do you stack cannibals so they take up the least space on a ship's deck? Well, if you give them enough time, they'll kinda "stack" themselves into each other and you'll end up with just one cannibal who will be extremely well-fed. ;-)
This video is so impressive, has so much mathematical and geometric beauty, that I hardly can even express my admiration. Thank you for arranging so many interesting information in such pedagogic and spprehensible way!
@@KafshakTashtak Besides, if the studies of tiling in the Islamic were available to be read and discussed, I think it's possible to be included in this video. These type of complex and beautiful tilings in the Islamic world were in fact more a kind of art and maybe have not be understood as a matter of study. Do you agree?
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.
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 : ))
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 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.
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?
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
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
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
“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
One of the most interesting classes I ever had
Bruh
Is this a normal coment???
@@stefanleu4278 er yeah
@@AFKBIN lol
@@AFKBIN oh hi there
"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
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.
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
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*
“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
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".
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
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!
“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.
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."
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
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.
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!
*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.
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
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.
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)
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 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 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)
Ive never said this in my like, 10 years if watching youtube, but I wish I could pay you for making videos this good.
My mind was blown several times through the course of this video, well done.
Maths : QUESTION
Factor high degree polynomial
ua-cam.com/video/D99PASilPrY/v-deo.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.
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!
I love the video. It’s really astounding how you are capable of explaining it in a way that makes it sound easy and fun to explore. Also, at 09:40, during the pattern overlap, I could have sworn a saw a face looking at me. I might be haunted….
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”
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... 🤔🤔
Me: this video is very neatly presented
My brain: h e x a g o n s a r e t h e b e s t a g o n s
Lol I keep thinking that too
I've just seen it lol
am i the only one who noticed a CGP Grey reference in this comment
@@pyrthero ok good
@@Zhuk-zc8es that's literally the whole joke
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
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.
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.
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
Your visualisations are stunning. Such intricate patterns, drawn so beautifully
This is like an insane amount of research and brain in one video of UA-cam, 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?
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
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
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.
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!
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
*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
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
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.
Me: just one more video
3am: G E O M E T R Y
Reading this at 3am where I am 😂
@@rgw4393 same
s h a p e
@@xxx_robloxmasteroof5160 YES
DASH
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.
great video; I've been looking for rigorous but recreational math content like this on UA-cam for years!
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! :)
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.
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
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
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
11:49 "it's few-tile"
Well played
If only I were this clever
@@veritasium Hi!
9:15 "As i rotate around, you can see"
UA-cam's compression algorithm: No I don't think they will
Godly comment right here lol
i can see it
That was especially nice episode, thanks. I waited the Penrose tiling coming and of course it came, and then there was that golden ratio planted in your tiling too. Lovely, indeed.
Imagine proving your teachers prideful theory wrong.
I’d just be like “only A’s and I won’t tell the press”
We can't have half-an A, press.
I don't think mathematicians are the type to be ashamed of being wrong. If I were the teacher and you just said that, I would tell the press
Teachers are wrong 90+% of the time if they have to follow the scientific method.
Are you talking about Wang?
Maybe you should learn the difference between conjecture and theory. No one would (or at least should) be upset that their conjecture was proven false.
Why do we watch
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"
Hands down the most coherent presenter on UA-cam. 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 one of the best UA-cam videos ever made.
Derek: "What happened to the Moire pattern?"
UA-cam compression: "Gone. Reduced to atoms."
@@mysticman8110 how about you publish a scientific paper with the facts just like everyone else. Then we wont need you here advertising.
All i know know is to avoid whatever youre selling because the type of business that would use these advertisments cleary isnt ethically sound by any means.
Thanks for the warning.
i have no idea whats going on here
@@jamesonrosen1773 what did he say?
@@sirsnek6562 it was a garbage advertisement for some website about "the truth of life/death". Very dishonest in the wording, the message, and the way it was conveyed. I hope they deleted it rather than it being taken down but it was an ad so i doubt it.
@@erikandreasson1608 sure.
"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
The beauty of geometry is amazing and the way everything connects to each other is nothing less than mind blowing.
Time for an update...both for the Einstein tile, and for the LastPass sponsor. lolol
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
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 🙃
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 a stunning combination of being mind-blowing, counterintuitive, and breathtakingly beautiful.
Something about predictable randomness that is just so beautiful
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
Moire pattern: exists
UA-cam 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
ua-cam.com/video/D99PASilPrY/v-deo.html
See one time
@@timothymiddleton6651 I think you can force it is to use less compression, not sure about h264.
This is just wild. I have no idea what I just watched but it was still amazing and gives me a bigger respect for the universe around me
9:16
UA-cam Compression: “Guess I’ll die then”
69 likes I will leave it like that
@@akshajpillaaaay798 no
"Only quasi scientists" - this from the guy who thought oranges could cure cancer
now imagine people drinking bleach
To be fair many things we think to be true now, might be wrong as well
worse than butch hartman thinking god can cure autism
@@BlueMiaou I first read atheism, ...
Oranges can cure sea sickness
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.
1:25 Sphere: Do I look like a joke to you
Spheres don’t have faces
@@Durian-what about monogons
Class today we'll be learning about shapes
Class: LOL shapes are for kids
Shapes:
😂
Imagine saying shapes are for kids, I be you are a kid, wait till you have to draw that shapes and joke isn't good.
TT12- Roblox and more Our most sincere apologies, grandfather!
TT12- Roblox and more | Imagine saying shapes are for kids. I bet you are a kid, wait ‘till you draw those shapes. Your joke isn’t good.*
TT12- Roblox and more It’s ironic how you are aware it’s a joke. It makes me utterly indecisive whether to laugh or be annoyed.
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
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
Someone did it! Found one shape that when put together never repeats!!
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.
😂😂😂😂
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
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
This video is full of chaos and i understand it. I really hope you'll make some of these types of videos, they're really fascinating to look at!
02:01 "How do you stack cannibals so they take up the least space on a ship's deck?"
Wait.. ah, ok, cannonballs.
> How do you stack cannibals so they take up the least space on a ship's deck?
Well, if you give them enough time, they'll kinda "stack" themselves into each other and you'll end up with just one cannibal who will be extremely well-fed. ;-)
you don't have to
Great example of bioaccumulation.
🤣🤣🤣🤣
@Drops2cents and scarily strong and not approachable
This video is so impressive, has so much mathematical and geometric beauty, that I hardly can even express my admiration. Thank you for arranging so many interesting information in such pedagogic and spprehensible way!
Too bad he missed one important bit: this tiling is older than Kepler and was used in Islamic Architecture. en.m.wikipedia.org/wiki/Girih_tiles
@@KafshakTashtak that's okay. Some things always are lost in scripting and edition.
@@KafshakTashtak Besides, if the studies of tiling in the Islamic were available to be read and discussed, I think it's possible to be included in this video. These type of complex and beautiful tilings in the Islamic world were in fact more a kind of art and maybe have not be understood as a matter of study. Do you agree?
@@EduardoLauandeTeixeiradeSouza there's a Ted video about that.
@@KafshakTashtak I will seek and see. Thank you.
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.
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
Veritasium:
"Vsauce is taking too long to create new math-magic content to blow our minds... Whatever, I'll do it myself."
What if that's what the v in vsauce stands for?!?!?!
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.
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
Bach Brandenburg Concerto #4 - I love it!
Great music selection!!
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
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...
*Slaps the roof of pentagon*
"This bad boy can fit so freakin' many pentagons in it"
Don't hurt yourself. Also, which side is the roof? One of the edges? The forward-facing surface?
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.
"Wang was studying multi-colored square tiles..."
Me: Looks at my 3 year old playing with color square tiles...... He's a genius!