The Infinite Pattern That Never Repeats

[@veritasium]

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”

[@jeorfryemuntgumry3565]

Congratulations to him, he genuinely deserves it!

[@jawhns3410]

Hi

[@valenveith5251]

This video triggered everything inside of me

[@varunsrinivasan1523]

Roger penrose was a close friend and research partner of stephen hawking.....he totally deserves it

[@adandylife329]

Was this planned by you to time it with the announcement?

[@DavidSallge]

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."

[@PomadaGaming]

Ikr

[@Left4Cake]

Pretty much the speedruning community in a nutshell honestly.

[@prajuktadeyy]

Or in other words, it seems impossible uniting it done?

[@prajuktadeyy]

Kinds like the fandom and the tollbooth

[@ALBINO1D]

@@prajuktadeyy nothing is impossible UNTIL it's done? Like the PHANTOM tollbooth? :D

[@wuddadid]

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"

[@WholesomeDevil]

Lol

[@WholesomeDevil]

I'll help u do that

[@bbjygm]

Yes, same. It'd be quite intriguing to pull it off and still look fairly cool

[@miou-miou-]

dont bother, it would just be fu-tile... (hey, he said it in the video, dont blame me for the bad pun)

[@CuddlePhantom]

RIGHT?! XD

[@anjiruhyure2080]

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?

[@xrosethegreat9048]

school forces you to learn, this video is optional and encourages curiosity.

[@inzaghi8935]

Ghost Anon your comment makes no sense

[@xandermayfield473]

yeah why are we all here rn 😭

[@SatanAzerath]

@@inzaghi8935 Unfortunately, that says more about you.

[@SatanAzerath]

@chilled Give Ghost Anon a break, they were in a really disruptive school.

[@memerminecraft585]

They've recently discovered a single tile that accomplishes the same thing on its own! Would love to see this revisited.

[@riaanvn]

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.

[@tiaxanderson9725]

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]).

[@walkinmn]

Came here for the same reason

[@baguettegott3409]

Yes! That's why I'm here again

[@glorydragon2597]

YES

[@BlightCosmos]

I feel like i learnt alot while learning nothing at the same time

[@PolarBearLP]

Just like school

[@REIGENSENSEIEKUBO]

The best way to describe it is learning a lot of useless information

[@RAHHHSCREWYOU]

Same

[@PolarBearLP]

@@RAHHHSCREWYOU yeah i was just joking or was I? *Vsauce music plays*

[@piva1358]

DITTO

[@XFz2nLDWo73x95]

This man's enthusiasm, individuality, and presentation is quite the treat. These are the types of teachers kids need to stay focused and excited.

[@DarrenGedye]

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.

[@UserName-ii1ce]

Is he a teacher or is he just someone like us

[@Bubbl607]

@@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

[@PianoGesang]

The man is a genius

[@thegreatbritishcircusfeatu2531]

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

[@briannawarren4174]

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.

[@dankwarmouse6248]

SHITTING YOU MEAN

[@richardpike8748]

I'd stare at it until my bum was dry

[@halicusnguyen8864]

"I didn't do my homework the floor was too interesting"

[@educostanzo]

I want to retile my entire bathroom now.

[@otsegoudead]

"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."

[@aarushrout4915]

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!

[@eak9t]

Him: it's not that complicated. *Proceeds to explain the 4th dimension*

[@LJ.]

Had some crazy flashbacks of being back in school making those same patterns with wooden shapes. Pretty cool.

[@danparish1344]

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.

[@BenDRobinson]

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.

[@ano_nym]

@@BenDRobinson you have to take age into account. What you feel interesting now is not the same as then.

[@AFKBIN]

One of the most interesting classes I ever had

[@BruhMoment-ym2jb]

Bruh

[@stefanleu4278]

Is this a normal coment???

[@AFKBIN]

@@stefanleu4278 er yeah

[@donuts3476]

@@AFKBIN lol

[@vaughn1044]

@@AFKBIN oh hi there

[@daemoneko]

“The time you waste will accumulate over your life time” I didn't need that personal attack today, thanks Derek

[@Alien42x]

.

[@Koningg_]

udaynath290493 i actually read this heen he said this

[@daminecraftguy]

"you might look further out, but it's fu*tile*" :P

[@notme9872]

@@Koningg_ ME TOO! :D

[@irenanovakova1980]

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!

[@ladabenesova5386]

I'm from Czech to and I feel the same

[@ALizarazoTellez-English]

The feel of any random country from Latam...

[@thisisaimbot9560]

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.🙂

[@LightningEthan]

as someone who plays geoguessr I see it all the time 😂

[@tanveer_badar_]

Derek is hardly "any random person from the internet".

[@hugobethancourt4191]

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!

[@westernbrumby]

I haven’t enjoyed a video of his for years

[@monirkinder7184]

@@westernbrumby why so?

[@tobiasrogers2724]

@@westernbrumby lol

[@12Prakhar]

“As a physics and mathematics major”

[@jmir1]

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 👍

[@stefantieber7805]

Same here

[@Luke-zw5el]

No really?

[@Blackn3t]

I can confirm, nice catch :D

[@chillbillg2465]

Yeah... same 🤥

[@jmir1]

@@Luke-zw5el yep :D 1748/1080=1,61852 (close enough)

[@owen9510]

“Wang’s Conjecture was false.” Me, through a mouthful of chips, not understanding a word of this: “Haha, what a loser.”

[@victordlonsod9382]

HAHAHAHAHAHAHA

[@8474Mikhail]

hahahahha

[@robmc120]

"He forgot to incorporate gravity, i was wondering why he didnt do that" ~Brian Regan with bag of Cheetos

[@t0astface]

This made me laugh out loud a lot 🙌🏽

[@1battlemedic622]

You no mess with Lo Wang

[@lilelly16]

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.

[@wallaceroberts9859]

Builder: So what kind of tiles you want in your bathroom then? Veratasium: Well....

[@disused8979]

Underrated

[@SpeakerMunkey]

bore off

[@PeterGriffnger]

wouldnt that be the ultimate ocd trigger?

[@starryeyedgirls]

i read that as Veritaserum-

[@applewood389]

@@starryeyedgirls I see your from the sua too lol

[@No-pm4ss]

My mind was blown several times through the course of this video, well done.

[@mr.knight8967]

Maths : QUESTION Factor high degree polynomial kzbin.info/www/bejne/emqcgXSJntGDqLs See one time

[@binashah3106]

true

[@stevethea5250]

@@mr.knight8967 IT'S FU-TILE 11:48

[@atulit]

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

[@Youtube_OverLord_v3]

Go ahead and try the Banach-Tarski paradox over on Vsauce.

[@abhishekshah11]

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!

[@sandeeptiwari5189]

Yes bro

[@sathvikmalgikar2842]

Vsauce and Veritasium . the two gems but what are gems????????????

[@LouSaydus]

What he really needs to cover is social justice and how white supremacy causes people to believe this "science" is true.

[@AndrasDNagy-bs5dc]

@@LouSaydus are you suggesting that non-white people are unable to think with the sophistication presented here? If yes, you are racist.

[@Rotem_S]

I mean, these are all things that were briefly discussed in my physics BA, but yeah they're mostly math-y

[@liudvikassablauskas1950]

Just right now they found the first single tile that tiles the plane aperiodically, calling it "eistein". Amazing breakthrough! It does however require mirroring

[@jyvben1520]

Einstein, German for "one stone", the latest variant found (in or before summer 2023) is called Spectre (not the Bond movie)

[@fishxw]

They found a variant which doesn't require mirroring also too!

[@BinglesP]

@@fishxw That's awesome!!! Amazing how geometric discoveries are still being found today

[@bennyl9228]

Cool!

[@DijaFix]

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.

[@Ludifant]

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.

[@teo3066]

I thought this pattern looked familiar, that's pretty cool

[@simonwesterlund2151]

I allways thought it did repeat on some level but now i know it doesn’t

[@aversal]

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.

[@manicjupiterflute]

The pattern doesn't repeat but it does contain the Fibonacci sequence which means there is an ORDER that is special.

[@Huntress_Hannah]

I’d like to point out this dude hated his professor so much, he looked at 20,000 squares just to prove him wrong

[@kovyvuri]

@@AmeshaSpentaArmaiti its a joke dude...

[@kirbydied2875]

@@AmeshaSpentaArmaiti learn what a joke is

[@Twisted_Code]

@@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.

[@michelsalazar2859]

Ight

[@Fyafli]

@@AmeshaSpentaArmaiti not serious replies offering an alernative unfunny punchline for the joke, I mean, who wants an unfunny joke? That's just not helpful.

[@hoihoi12250]

"daddy, what do you do?" "I look at shapes" "That sounds easy" "Well I also look at colours!"

[@trystankitty5393]

??? I don’t get it

[@dabunnyrabbit2620]

well that throws a wooden shoe into it.

[@hiffahyphae6707]

@@trystankitty5393 you didn’t watch the video??

[@SyemurN]

Yes daddy.

[@OctavianMCL]

@@carolinesmercantile4290 and matches

[@roowyrm9576]

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)

[@shauncarter924]

This whole Golden Ratio is fascinating. It keeps popping up all over the place. I dig it.

[@40watt53]

Phi, pi, and especially e, they're like a curse, look literally anywhere and you'll find them.

[@albertskunik]

jojo fan will ruin this comment

[@nm9105]

@@albertskunik gyro zeppeli approves

[@Correa-pi2tx]

Ratio 😎

[@canti7951]

@@albertskunik Jojo fans are the real golden ratio all along. They literally are everywhere. You can't escape them.

[@Cardgames4children]

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!

[@deusvult5738]

Math is awsome and beautiful and everybody likes it! Haters gonna hate.

[@rich.wishes]

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

[@aspeneatherton3943]

“Well it’s infinite, so it’s gotta repeat at SOME point, right?” Scientists: “lmao no”

[@stevenmathews7666]

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

[@camstudiosfrmd8]

@@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 :)

[@Miniclash]

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.

[@camstudiosfrmd8]

@@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.

[@burrito-creature]

@@camstudiosfrmd8 I'm trying _extremely_ hard to understand this, and I feel like I'm close to understanding. It's just so confusing

[@th3felixraven344]

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

[@yannisconstantinides7767]

For people who love geometry, this is just absolutely inspiring.

[@Ludifant]

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.

[@Seinaru]

Nah man, I keep dying in geometry.😤

[@jack-gf6jw]

For people who hate* (me)

[@Louganda]

Geometry is for little kids

[@MarcoDToon]

@@Louganda Said by "ugandan chad" lmao

[@Z_TPI]

Me: Gives this pattern to the guy tiling my kitchen Tile guy: Sweats profusely

[@Disorrder]

This guy always have a saw, so no problem "What a weird parquet..."

[@uuuultra]

He'll find a way to screw it up

[@teadude]

My OCD would kill me. Btw how big is your kitchen so you need an infinite pattern? xD

[@MA-un1mj]

Lmao😁

[@Z_TPI]

@@teadude: how big is your kitchen that it needs an infinite pattern? Me: *YES*

[@katieerickson8010]

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

[@lrx3634]

Na

[@OR-pv4iz]

euridite

[@GODHATESVANDAL]

School wants kids dumb

[@crr5699]

Presentation is everything

[@LacedWithOreos]

Same! Seeing the 'rules' of science being broken down and applied in new, strange ways is seriously cool.

[@mason2953]

Ive never said this in my like, 10 years if watching youtube, but I wish I could pay you for making videos this good.

[@SemiMono]

11:49 "It's futile" No, it's many tiles.

[@Rawi888]

I hate that I broke out laughing to this

[@cruxofthecookie]

Gah you beat me to it. Although I was going to go with "fu-tile".

[@richardpark3054]

How 'bout 'few-tile'?

[@justsaus9897]

💀💀💀

[@geraldhng8774]

Fulltile.

[@IanChristopher]

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.

[@AngadSehdeva]

This guy gets it

[@Orroset]

I came here to comment something similar. But you said it best :D

[@ishantyadav5532]

You said the exact thing what everyone felt while watching this video but could not gather guts to accept.

[@secularmonk5176]

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"

[@williamcrosby1061]

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.

[@carykh]

Whoa, the animations at 7:30 really helped me understand Penrose tiling better than anything I've seen before :O

[@nostalgia1036]

well hello carykh nice to see u here

[@franchufranchu119]

Cary Kite-piece Hobbyist

[@phlaxyr]

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.

[@calebyao.]

Yo hi cary

[@txtp]

Hey Cary!

[@herisruns]

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

[@douglasshouganai2516]

someone should start a home renovation company called Penrose Tiling Company. specialize in bathroom tiling, tile flooring, and roofing or something

[@drumnbreakz]

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 : ))

[@drumnbreakz]

@UCB7yFRL1a7G4b18-GynCNJg hehe, nice. Thanks for the heads up! ;)

[@mihan2d]

"Penrose Tiling. Making people high without drugs!"

[@tunigkhan4942]

@@mihan2d LMFAO

[@ad_exodus]

there is areason there isnt one, it wouldnt work

[@ill_insect]

Honestly, this is quite entertaining. I didn’t expect patterns to spark my interest today-

[@sofly_999]

Exaclty

[@yourfunniboi423]

Neither than i but if you like learning but funni watch sam 'o nella academy

[@riveraklan3072]

Neither did I but honestly I never know anymore yesterday I was watching some guy make a unpickable lock

[@shatteredmusic5218]

Well I is 3 am so

[@savannahgunter5353]

Imagine being someone like me, finding them interesting during everyday life

[@katiekawaii]

6:10 The ultimate smartass student, all raising his hand like: "Um, professor? I found 20,426 examples of how you're wrong."

[@skyuwu2998]

katie kawaii lol

[@kachimaruTV]

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"

[@alittlequeer]

he should be put into hope peaks academy for being an ultimate

[@imaginarytree]

LMAO

[@ayafi9932]

He got nothing to do and he started to connect things to find something

[@jaydave791]

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

[@yanna5885]

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

[@gweltazlemartret6760]

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.

[@cly7894]

My teacher just Googles up a website and tells us to copy it

[@LisaBeergutHolst]

Because school just exists to make you obedient lol

[@gweltazlemartret6760]

@@LisaBeergutHolst That's what teachers want you to believe.

[@aidanharley243]

IT'S THAT DAMNED GOLDEN RATIO AGAIN! IT'S INESCAPABLE!

[@St3lla-MaR1s]

MATH IS A JOJO REFERENCE.

[@field5758]

Must be some geometric magic

[@snackboxone364]

The only non jojo reference in the world is... OTHER ANIMES

[@thesovietgascan]

@@St3lla-MaR1s exactly

[@segmentsAndCurves]

@@field5758 The magic of 5-fold symmetry.

[@PeterSFam]

If a floor was tiled with this anti-pattern, I think it would drive me slowly to madness looking for a pattern

[@abacussssss]

i mean, there is a pattern, it's just an infinite hierarchy

[@rachelLadyD]

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]

im te kind of person to actually find the pattern

[@gabrielabatista6016]

I can kinda see matching points, almost like symmetry

[@The_Biologist27]

@@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

[@shreeyaksajjan1200]

Your visualisations are stunning. Such intricate patterns, drawn so beautifully

[@frankovich213]

Definition of a pattern: "It must repeat" Penrose Tiling: "Hold my rhombus"

[@bro8616]

team sucks lol

[@AnguishedMan]

Dont care didn’t ask

[@smarthydra061]

Lol 😂

[@columbus8myhw]

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".

[@crr5699]

LOL!! Thank you SO much! I needed that!

[@hotpotato5587]

*Deep Inhale* I didn’t need an existential crisis about pentagons.

[@Roland_Duson]

They solved it. Pay attention.

[@LordLongHands]

Roland Duson they made a joke, pay attention.

[@Roland_Duson]

@@LordLongHands You're so boring and typical.

[@r00b27]

*Deep Inhale* Science says otherwise.

[@r00b27]

@@Roland_Duson it's more boring and typical to miss the joke my friend.

[@bilqissekarinip.8465]

Hats off for the editor, most mind-blowing animation I've ever seen

[@JBG-AjaxzeMedia]

Animations by Iván Tello and Jonny Hyman, video was also edited by Hyman

[@gknomics]

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.

[@Klick404]

This was probably the most amazing thing I’ve ever seen in mathematics. The way this video is put together is incredible. Well done

[@rubiconoutdoors3492]

Freemasonry is all about the golden ratio. Most of the famous old buildings in the United states used the gold ratio in its construction.

[@chuckguerin8141]

um..yeah.

[@MBblink182]

There are so many interesting properties of aperiodic tilings and quasicrystals. Keep looking! :)

[@brucebrantley6972]

Hands down the most coherent presenter on KZbin. I'm a carpenter who barely made it through Trig and you helped me understand this. You were born to teach

[@MudassirJowher]

My good sir you're gorgeous. More power to you too. I love people spreading love.

[@coscinaippogrifo]

And you were born to study it because half of us here are still totally in the dark after watching the video :D

[@Ste-fx8dr]

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

[@rick2517]

imagine if keppler was resurrected, he must be so frustrated that he almost figure it out

[@juanbomfim22]

No, he'd be very proud because he was in the right path

[@Idiocy]

Love the profile picture

[@alicorn3924]

@Scom Tott nah nah, it's: Jowaness Keiper. Because why not?

[@ryangraham6878]

I think he would be proud. Because he WAS right!

[@lordbanetheplayer8844]

@@ryangraham6878 Still is right.

[@jan-pi-ala-suli]

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

[@piyushpatel2836]

This is like an insane amount of research and brain in one video of KZbin, especially in this time!

[@jacobshirley3457]

Welcome to the channel.

[@piyushpatel2836]

@@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.

[@jacobshirley3457]

@@piyushpatel2836 Have you watched the recent videos?

[@saadejaz8025]

*Something happens* Golden ratio: hello there

[@sumans7620]

GENERAL RATIO! You are a bold one

[@jmir1]

This video's aspect ratio

[@arnabbiswasalsodeep]

e & pi together with phi, looking at the sofa constant

[@sungazing59]

The angel from my nightmare

[@loewoo9821]

@@jmir1 Sadly not, would be sooo amazing if it was though

[@Jamandbutter0]

if it doesnt repeat does it even classify as a "pattern" anymore?

[@hosungryn9450]

you ruined everything, stop you have much power

[@santiago_moralesduarte]

It does because it follows certain rules

[@alphonsobutlakiv789]

You might be right, might just be like a lattice or maybe just a grid? Don't know

[@onlookerofthings6029]

Sometimes the fact that nothing makes a pattern is a pattern in itself

[@specsamhain_909]

@@santiago_moralesduarte tell me, what are the rules

[@nicholasserrambana]

great video; I've been looking for rigorous but recreational math content like this on KZbin for years!

[@lilbankaccount757]

Imagine finding over 20,000 tiles so that you could prove your professor wrong

[@coolperson8272]

Yup XD second reply ez

[@cocopuffs6166]

the pure spite is respectable

[@puzzled-head3493]

Yup XD fifth reply ez

[@Liam29821]

Yup XD seventh reply ez

[@willkucma5848]

the things students can do out of spite

[@titaniummechanism3214]

My parents thought about renovating the upstairs bathroom, I think I just found the perfect floor tiles!

[@BigDaddyWes]

This video will start a trend, for sure.

[@floreaciprian9742]

imagine the poor guys having to set those tiles :))))

[@TheSecondVersion]

Perfect for when your bathroom is infinitely large and you hate reptition

[@paulflute]

yep.. i thought.. " that's our patio sorted " at one point

[@SirAlbertoo]

You guys have an upstairs bathroom 🙃

[@ReplicateReality]

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

[@Jordan....]

I love when people describe stuff as "math people" which makes absolutely no sense but makes a ton of sense at the same time

[@ReplicateReality]

@@Jordan.... clever….

[@kaioken9997]

I’d like your comment but it has 555 likes…

[@yaywippee]

@@kaioken9997 The most five-ish likes

[@Phymacss]

@@yaywippee hahahahah

[@PatrickStewarts]

Someone did it! Found one shape that when put together never repeats!!

[@VPZealouZ]

Saving this to my “don’t watch while you’re high” playlist

[@1TieDye1]

Saving this to my “watch while you’re high” playlist Thank you for the idea of that playlist

[@ash.mystic]

@@1TieDye1 I concur 😁 Even watching this one sober put me in that state a bit ✨

[@KillerKilometers]

I love that you actually made a playlist just for this vid, Yes, i checked haha

[@carmengogeidnas9670]

Too late. I just learned a lot about the fabric of spacetime.

[@MelodyMaker716]

Haha, 420 likes :D

[@andromedagalaxy7717]

🎶When a grid's misaligned with another behind That's a moiré🎶

[@JohnnyArtPavlou]

🤣😂😅☺️😊

[@zzzetsulive]

And the bit raaaaate dies that’s a moire

[@RottenLegacy]

When you've had too much wine that's a moiré *_bells-_*

[@druze3210]

*bells ring*

[@DrumApe]

that's really smart!

[@jawahart8619]

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

[@weebywo6501]

I KNOW RIGHT I FEEL YOU

[@TheSecondVersion]

Check out 3Blue1Brown's video, "the most unexpected answer to a counting puzzle"

[@secularmonk5176]

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"

[@ivanerofeev1269]

@@secularmonk5176 It is. At this point I am not sure if he is trolling us or getting on a phibonacci number-cracking train

[@secularmonk5176]

@@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"

[@spookyowlsounds3666]

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.

[@SwaroopNarasimhaK]

All I need is some tiles on my kitchen wall with a non repeating pattern

[@calholli]

Now you know how.. You'll just have to decide your 2 base shapes.

[@eval_is_evil]

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?

[@capsey_]

​@@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

[@TStut15IsMyMinecraft]

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.

[@yash_makkar]

😂😂😂😂

[@haecceity6915]

"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?

[@squidtentacles3492]

Aliens.

[@anomienormie8126]

Bisexual erasure be like;

[@ALBINO1D]

Plenty.

[@humanperson2314]

@@obscurity3027 icier :)

[@rohangeorge712]

time travel be like cmon guys im waiting for u to discover me, or am i because i am time :000

[@DinoQuintana]

11:49 "It's futile." No man, it's very many tile.

[@ameyagupta7285]

humorous joke my good man

[@DittrichCo]

Dad?

[@jaypaans3471]

It's infinitile?

[@inifin8]

It's Tilenol.

[@陈子扬-b4k]

It's a stunning combination of being mind-blowing, counterintuitive, and breathtakingly beautiful.

[@potatoparadise6238]

After watching this *Me looking at my carpet patterns* hmmm...periodically

[@ShivamYadav-fp1hb]

😂😂😂

[@doubleutubefan5]

*looks down at throw rug* "this looks like a Nascar race track....." *breaks out the hotwheels*

[@saturatedneowax]

doubleutubefan5 awesome

[@haydensmolik222]

I came here to look for a cool tiling pattern for my kitchen I have now left with a degree for geometry

[@nekomimitheiii6091]

i think i just proved my teacher wrong and now teach geometry to the french

[@fssamiel1156]

Aarav swamy what

[@akkti_]

@@nekomimitheiii6091 bro?

[@RoulDukeGonzo]

How big is your kitchen?

[@sophiaflanigan5866]

Lmao

[@afbennett3038]

The demonstration with the overlaying sheets blew my mind

[@macethorns1168]

Yeah that part was dope!

[@nightking-ld5fe]

What you tak abot?

[@slinkyslider]

Same

[@aminebebba]

And blew the KZbin compression algorithm too

[@nahtesalinas1917]

What's the timestamp please?

[@Kronzik]

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.

[@bannor99]

11:49 "it's few-tile" Well played

[@veritasium]

If only I were this clever

[@Alefen]

@@veritasium Hi!

[@WhoEvenFilms]

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

[@sapphirec_5689]

Lol I keep thinking that too

[@miki890098]

I've just seen it lol

[@Zhuk-zc8es]

am i the only one who noticed a CGP Grey reference in this comment

[@Zhuk-zc8es]

@@pyrthero ok good

[@WhoEvenFilms]

@@Zhuk-zc8es that's literally the whole joke

[@simon_does]

The Einstein Tile has been found!!!! Someone tell this man to do a follow up video.

[@maxzielsdorf6617]

As a Material Scientist/Engineer and an avid D&D player this made me tear up. This is just the most beautiful thing. A perfect marriage of law and chaos, to be unique but also connected and the same. It's so human.

[@mattdaniel6071]

As soon as I saw the geometric forms I instantly remembered my classes about crystalline structures...

[@HarryNicNicholas]

go watch some roger penrose, but try not to stockpile the tissues.

[@Ge-Fat]

when the search of the higgsboson was done, it showd that both Supersymmetry and chaostheory coexist, but the retards of CERN did not understand that. still today they try to have their thesis accepted.

[@lolsflint7598]

natural law of chaos

[@Hecatonicosachoron54]

I know right? It's amazing.

[@ShigeruNishitani]

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.

[@Mernom]

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?

[@columbus8myhw]

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).

[@JektorII]

It reminded me of an old vsauce video about how many different infinities there are.

[@TheZenytram]

@@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.

[@bkelly821]

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”

[@fisk7aal]

Linus Pauling forgot Clarke's 1st Law: When a distinguished but elderly scientist states that something is possible, he is almost certainly right. When he states that something is impossible, he is very probably wrong.

[@davidwuhrer6704]

Isn't he the reason that law exists?

[@Alexagrigorieff]

@@davidwuhrer6704 Clarke's 1st Law was formulated in 1962. Linus Pauling was 61, not exactly "elderly". He worked on alternative explanation of 10-fold diffraction symmetry around 1984.

[@WJS774]

@@davidwuhrer6704 Lord Kelvin famously said that manned flight would never be practical in 1902.

[@rahulphogat892]

@@davidwuhrer6704 HAHHAAHAH

[@edsoderlind7568]

put that on a t-shirt

[@josiethompson5739]

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.

[@14tev65]

9:15 "As i rotate around, you can see" KZbin's compression algorithm: No I don't think they will

[@leancosgomsan2604]

Godly comment right here lol

[@rufmor1]

i can see it

[@coeusveritas6690]

Something about predictable randomness that is just so beautiful

[@InsertShankHere]

17:00 "Icosahedrons are known to be the most forbidden shape" Me: *nervously eyes dnd dice bags*

[@simonmacomber7466]

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.

[@milanstevic8424]

and Plato as DM

[@milanstevic8424]

@@simonmacomber7466 doesn't it sound better as hexahedron? instead of kewbe, as if it fell on its head.

[@asandax6]

don't summon the demogorgon

[@nevaehrosee315]

@@simonmacomber7466 jkf u null uth uh hj op kp

[@gabedegoeij1190]

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….

[@TheHoaxHotel]

Honeycomb cereal sales increase exponentially

[@pratik_shrestha]

stonks

[@sohampatil1392]

@@jerg yes my memory of the URL has led me to not get rickrolled

[@WaterIsFake]

@@jerg that video made me very sad, I hope people see this more ;-;

[@JNCressey]

@@sohampatil1392, Much better than Docker's spam

[@lillynordicpale]

hehe Get them scammers! try honeycomb to seduce scammers!

[@kirotrosegaming7201]

The beauty of geometry is amazing and the way everything connects to each other is nothing less than mind blowing.

[@declanc9791]

Me: just one more video 3am: G E O M E T R Y

[@rgw4393]

Reading this at 3am where I am 😂

[@pamgrilling4737]

@@rgw4393 same

[@xxx_robloxmasteroof5160]

s h a p e

[@Deez12122]

@@xxx_robloxmasteroof5160 YES

[@Cr1z4n63L]

DASH

[@jocysatu1038]

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!

[@zyibesixdouze4863]

It's interesting that Kepler was so close to the answer, imagine how far a leap that would have been

[@soutrikband]

Roger Penrose got the 2020 Nobel Prize in Physics

[@dmglakewood]

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.

[@1202-k3g]

2ND! read my name

[@robb.c]

@@1202-k3g No

[@zatty232]

@@1202-k3g GO away !

[@ProudZombiemusic]

@@1202-k3g sub beggars

[@WillKrause21]

One of my favorite quotes I've learned during my PhD studies is "The easiest way to win a Nobel prize is to disprove something written in stone". This was talking about breaking the diffraction limit, which was actually written in stone, but I think it can apply here too.

[@Superabound2]

"There will never be peace in the Middle East" Trump: "Hold my beer"

[@DeathBringer769]

I have a stone outside in my garden that has "Nothing is written in stone" engraved on it, lol. Gotta love the irony ;)

[@mr.knight8967]

Maths : QUESTION Factor high degree polynomial kzbin.info/www/bejne/emqcgXSJntGDqLs See one time

[@CarlosAM1]

@@Superabound2 "There will be global action to fight climate change" Trump: "Hold my beer"

[@stefthorman8548]

@@CarlosAM1 isn't Europe falling behind?

[@alyssatipton5080]

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

[@cherylcarlson3315]

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...

[@ef-5tornado495]

This is more interesting than the class that I’m in right now

[@TheChillinCloud]

Ikr you learn more in your normal life. School barely teaches me anything I learn everything by doing it

[@melanchqly4889]

This is more interesting then the class I’m supposed to be in rn

[@rurtle]

ChillinCloud yea ngl

[@wolverine9632]

Same lol

[@klidthelid8361]

Abad your eyes admiral, Useless knowledge is temporary, but service to the empire is eternal

[@lightingchaser]

“The time you waste will accumulate over your life time” This gives me some CGP Grey vibes

[@SpartaSpartan117]

Wasting time by watching this video

[@marcosfelipe99mfc]

KZbin agrees, my first recommended video from this one literally is CGP Grey

[@LoneWolf-wp9dn]

yeah but this is derek of veristablium

[@vigilantcosmicpenguin8721]

It's also what I say to myself every day.

[@conanichigawa]

@@LoneWolf-wp9dn you mean drek of vebistarium?

[@jameskling9400]

Time for an update...both for the Einstein tile, and for the LastPass sponsor. lolol

[@ksk_3]

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.

[@nooffencebut8175]

“Patterns have to repeat otherwise they aren’t patterns” This pattern: no, I don’t think I will. Guys chill it was just a joke no need to fight about it.

[@gh0stykins]

yeah this aint a pattern

[@kjl3080]

@@gh0stykins did you watch the same video? It is a pattern, just that it doesn't repeat.

[@ShadowDeus]

@@kjl3080 then it's not a pattern The definition of a pattern is a repeating design. If this never repeats then it can not be a pattern... In the end all it is, is a design.

[@thesovietdog1537]

@@ShadowDeus a pattern need not necessarily repeat exactly as long as it provides some form or organizing "skeleton" in the artwork.

[@kjl3080]

uhm maybe for your definition, but the mathmatical definition of a pattern fits this.

[@abhishekshah11]

Everytime I visit this video, I'm just blown away by the research and effort and coherence with which this was made. Imagine if these channels didn't exist, we'd be stuck to long hours of reading in order to even discover let alone analyze such mysteries by ourselves.

[@vozamaraktv-art5595]

True. And the fact that videos like these are available absolutely free of cost!!! KZbin is a treasure!

[@l1mbo69]

Analysing the mystery yourself is a joy in itself, condense presentations like these are extremely helpful but are not a substitute, for some things we should do the analysis ourselves (since we lack the time and energy to do it for everything (

[@plo8monster]

@@l1mbo69 "Show your work!" (as nun slaps your knuckles with a ruler)

[@blowc1612]

And you’re supposed to and not just be a dimwit who watches to act smart by agreeing to someone using big words like majority of the people who watches these videos. If you don’t go out there and try to prove them wrong by doing the work, new things will never be discovered.

[@blowc1612]

@@l1mbo69 exactly, people has gotten lazy just to get reward of their high of watching a video that caters to ones insecurities. They just want to feel smart but not actually do the work.

[@coco0789]

I’ve watched this like 12 times. This video still breaks my brain.

[@shashwatmahindroo]

This gives me a surprising thought that life and maths is a lot more than just solving it.

[@Uuu-w5l]

kzbin.info/www/bejne/aavYlauYrq6aftE 😂

[@cesar-lf1jw]

Watch the documentary The Code on Netflix

[@name5702]

Maths applies to everything

[@shashwatmahindroo]

@@ericlaska4748 totally agree with it 👍👍