KZhead

The Infinite Pattern That Never Repeats

Veritasium
2024 ж. 2 Мам.
20 161 397 Рет қаралды
Жүктеу

Simple rules of geometry meant that 5-fold symmetry was impossible as were crystals without a periodic structure. This turns out to be wrong. Thanks to LastPass for sponsoring a portion of this video. Click here to start using LastPass: ve42.co/LPs
Huge thanks to Prof. Paul Steinhardt for the interview on this topic. Check out his book ‘The Second Kind of Impossible’
If you'd like to learn more about Penrose tilings, go check out "Penrose Tiles to Trapdoor Ciphers" by Martin Gardener, which helped my research for this video.
Filmed by Gene Nagata (Potato Jet on KZhead)
Animations by Ivy Tello and Jonny Hyman
Editing, Coloring, Music & Audio mastering by Jonny Hyman
Prague scenes filmed in 2012.
Special thanks to Raquel Nuno for helping with the tilings!
Additional Music from Epidemic Sound

Пікірлер

  • 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”

    @veritasium@veritasium3 жыл бұрын

    • Congratulations to him, he genuinely deserves it!

      @jeorfryemuntgumry3565@jeorfryemuntgumry35653 жыл бұрын

    • Hi

      @jawhns3410@jawhns34103 жыл бұрын

    • This video triggered everything inside of me

      @valenveith5251@valenveith52513 жыл бұрын

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

      @varunsrinivasan1523@varunsrinivasan15233 жыл бұрын

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

      @adandylife329@adandylife3293 жыл бұрын

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

    @owen9510@owen95103 жыл бұрын

    • HAHAHAHAHAHAHA

      @victordlonsod9382@victordlonsod93823 жыл бұрын

    • hahahahha

      @8474Mikhail@8474Mikhail3 жыл бұрын

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

      @robmc120@robmc1203 жыл бұрын

    • This made me laugh out loud a lot 🙌🏽

      @t0astface@t0astface3 жыл бұрын

    • You no mess with Lo Wang

      @1battlemedic622@1battlemedic6223 жыл бұрын

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

    @Huntress_Hannah@Huntress_Hannah3 жыл бұрын

    • @@AmeshaSpentaArmaiti its a joke dude...

      @kovyvuri@kovyvuri3 жыл бұрын

    • @@AmeshaSpentaArmaiti learn what a joke is

      @kirbydied2875@kirbydied28753 жыл бұрын

    • @@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.

      @Twisted_Code@Twisted_Code3 жыл бұрын

    • Ight

      @michelsalazar2859@michelsalazar28593 жыл бұрын

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

      @Fyafli@Fyafli3 жыл бұрын

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

    @memerminecraft585@memerminecraft585 Жыл бұрын

    • 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.

      @riaanvn@riaanvn Жыл бұрын

    • 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]).

      @tiaxanderson9725@tiaxanderson9725 Жыл бұрын

    • Came here for the same reason

      @walkinmn@walkinmn Жыл бұрын

    • Yes! That's why I'm here again

      @baguettegott3409@baguettegott3409 Жыл бұрын

    • YES

      @glorydragon2597@glorydragon2597 Жыл бұрын

  • 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!

    @irenanovakova1980@irenanovakova19806 ай бұрын

    • I'm from Czech to and I feel the same

      @ladabenesova5386@ladabenesova53862 ай бұрын

    • The feel of any random country from Latam...

      @ALizarazoTellez-English@ALizarazoTellez-English2 ай бұрын

    • 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.🙂

      @thisisaimbot9560@thisisaimbot95602 ай бұрын

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

      @LightningEthan@LightningEthanАй бұрын

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

    @BlightCosmos@BlightCosmos3 жыл бұрын

    • Just like school

      @PolarBearLP@PolarBearLP3 жыл бұрын

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

      @athanmutia5022@athanmutia50223 жыл бұрын

    • Same

      @RAHHHSCREWYOU@RAHHHSCREWYOU3 жыл бұрын

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

      @PolarBearLP@PolarBearLP3 жыл бұрын

    • DITTO

      @piva1358@piva13583 жыл бұрын

  • 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"

    @wuddadid@wuddadid3 жыл бұрын

    • Lol

      @WholesomeDevil@WholesomeDevil3 жыл бұрын

    • I'll help u do that

      @WholesomeDevil@WholesomeDevil3 жыл бұрын

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

      @bbjygm@bbjygm3 жыл бұрын

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

      @miou-miou2740@miou-miou27403 жыл бұрын

    • RIGHT?! XD

      @CuddlePhantom@CuddlePhantom3 жыл бұрын

  • 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!

    @aarushrout4915@aarushrout4915 Жыл бұрын

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

      @eak9t@eak9t Жыл бұрын

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

      @LJ.@LJ. Жыл бұрын

    • 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.

      @danparish1344@danparish134411 ай бұрын

    • 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@BenDRobinson5 ай бұрын

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

    @liudvikassablauskas1950@liudvikassablauskas1950 Жыл бұрын

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

      @jyvben1520@jyvben15208 ай бұрын

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

      @fishxw9470@fishxw94708 ай бұрын

    • @@fishxw9470 That's awesome!!! Amazing how geometric discoveries are still being found today

      @BinglesP@BinglesP8 күн бұрын

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

    @shotatoriumi129@shotatoriumi1293 жыл бұрын

    • 👽👍

      @ufotv-viral@ufotv-viral3 жыл бұрын

    • Worst yet would hear him say: "Alright, I'm done" ...and he just created a singularity in you kitchen

      @nemo4555@nemo45553 жыл бұрын

    • His brain divides by zero.

      @speakstheobvious5769@speakstheobvious57693 жыл бұрын

    • I saw this comment already!

      @immortal3018@immortal30183 жыл бұрын

    • @@nemo4555 i think if you purposely create a specific singularity in the tiling you prevent the crystal from failing at distance... i think. Theres this wierd decagon shape you can make that forces the tiling to do wierd things.

      @radnukespeoplesminds@radnukespeoplesminds3 жыл бұрын

  • 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."

    @DavidSallge@DavidSallge2 жыл бұрын

    • Ikr

      @PomadaGaming@PomadaGaming2 жыл бұрын

    • Pretty much the speedruning community in a nutshell honestly.

      @Left4Cake@Left4Cake2 жыл бұрын

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

      @prajuktadeyy@prajuktadeyy2 жыл бұрын

    • Kinds like the fandom and the tollbooth

      @prajuktadeyy@prajuktadeyy2 жыл бұрын

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

      @ALBINO1D@ALBINO1D2 жыл бұрын

  • 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

    @th3felixraven344@th3felixraven344 Жыл бұрын

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

    @nicholasserrambana217@nicholasserrambana217 Жыл бұрын

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

    @aspeneatherton3943@aspeneatherton39433 жыл бұрын

    • 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@stevenmathews76663 жыл бұрын

    • @@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 :)

      @camstudiosfrmd8@camstudiosfrmd83 жыл бұрын

    • 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@Miniclash3 жыл бұрын

    • @@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@camstudiosfrmd83 жыл бұрын

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

      @burritodoggo122@burritodoggo1223 жыл бұрын

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

    @katiekawaii@katiekawaii3 жыл бұрын

    • katie kawaii lol

      @skyuwu2998@skyuwu29983 жыл бұрын

    • 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"

      @kachimaruTV@kachimaruTV3 жыл бұрын

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

      @alittlequeer@alittlequeer3 жыл бұрын

    • LMAO

      @imaginarytree@imaginarytree3 жыл бұрын

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

      @ayafi9932@ayafi99323 жыл бұрын

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

    @shreeyaksajjan1200@shreeyaksajjan1200 Жыл бұрын

  • 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)

    @roowyrm9576@roowyrm9576 Жыл бұрын

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

    @wallaceroberts9859@wallaceroberts98593 жыл бұрын

    • Underrated

      @disused8979@disused89793 жыл бұрын

    • bore off

      @SpeakerMunkey@SpeakerMunkey3 жыл бұрын

    • wouldnt that be the ultimate ocd trigger?

      @newgamer2@newgamer23 жыл бұрын

    • i read that as Veritaserum-

      @starryeyedgirls@starryeyedgirls3 жыл бұрын

    • @@starryeyedgirls I see your from the sua too lol

      @applewood389@applewood3893 жыл бұрын

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

    @lilbankaccount757@lilbankaccount7573 жыл бұрын

    • Yup XD second reply ez

      @coolperson8272@coolperson82723 жыл бұрын

    • the pure spite is respectable

      @cocopuffs6166@cocopuffs61663 жыл бұрын

    • Yup XD fifth reply ez

      @puzzled-head3493@puzzled-head34933 жыл бұрын

    • Yup XD seventh reply ez

      @Liam29821@Liam298213 жыл бұрын

    • the things students can do out of spite

      @willkucma5848@willkucma58483 жыл бұрын

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

    @simon_does@simon_does7 ай бұрын

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

    @mason2953@mason2953 Жыл бұрын

  • 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.

    @briannawarren4174@briannawarren41743 жыл бұрын

    • SHITTING YOU MEAN

      @dankwarmouse6248@dankwarmouse62483 жыл бұрын

    • I'd stare at it until my bum was dry

      @richardpike8748@richardpike87483 жыл бұрын

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

      @halicusnguyen8864@halicusnguyen88643 жыл бұрын

    • I want to retile my entire bathroom now.

      @educostanzo@educostanzo3 жыл бұрын

    • "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."

      @otsegoudead@otsegoudead3 жыл бұрын

  • They actually found one shape that doesn't repeat.

    @ehtacoguy4079@ehtacoguy40797 ай бұрын

  • 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

    @jaydave791@jaydave791 Жыл бұрын

  • 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?

    @anjiruhyure2080@anjiruhyure20803 жыл бұрын

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

      @xrosethegreat9048@xrosethegreat90483 жыл бұрын

    • Ghost Anon your comment makes no sense

      @inzaghi8935@inzaghi89353 жыл бұрын

    • yeah why are we all here rn 😭

      @xandermayfield473@xandermayfield4733 жыл бұрын

    • @@inzaghi8935 Unfortunately, that says more about you.

      @SatanAzerath@SatanAzerath3 жыл бұрын

    • Ghost Anon the fact that he’s not paying attention already disproves what you’re saying

      @chilled1792@chilled17923 жыл бұрын

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

    @daemoneko@daemoneko3 жыл бұрын

    • .

      @Naveen-iu7ej@Naveen-iu7ej3 жыл бұрын

    • udaynath290493 i actually read this heen he said this

      @Koningg_@Koningg_3 жыл бұрын

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

      @daminecraftguy@daminecraftguy3 жыл бұрын

    • @@Koningg_ ME TOO! :D

      @notme9872@notme98723 жыл бұрын

  • 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….

    @gabedegoeij1190@gabedegoeij1190 Жыл бұрын

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

    @user-fy9vb4mz2q@user-fy9vb4mz2qАй бұрын

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

    @hoihoi12250@hoihoi122503 жыл бұрын

    • ??? I don’t get it

      @trystankitty5393@trystankitty53933 жыл бұрын

    • well that throws a wooden shoe into it.

      @dabunnyrabbit2620@dabunnyrabbit26203 жыл бұрын

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

      @hiffahyphae6707@hiffahyphae67073 жыл бұрын

    • Yes daddy.

      @SyemurN@SyemurN3 жыл бұрын

    • @@carolinesmercantile4290 and matches

      @themilkman1938@themilkman19383 жыл бұрын

  • My small ass brain just pretending to know what he's saying: *mm yes ah yes mhm yes indeed quite correct*

    @vellerisyy@vellerisyy3 жыл бұрын

    • That’s me lmao 🤣🥲😭

      @fidgetyhuman@fidgetyhuman3 жыл бұрын

    • can relate

      @presauced@presauced3 жыл бұрын

    • lmaooo same

      @demigreen6495@demigreen64953 жыл бұрын

    • Lol same

      @ccduo9771@ccduo97713 жыл бұрын

    • Mm, yes, dodecahedron... 🤔🤔

      @TheBrickagon@TheBrickagon3 жыл бұрын

  • We are so happy that you enjoyed Prague!!

    @chiaratesarova3463@chiaratesarova3463 Жыл бұрын

  • 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.

    @gknomics@gknomics6 ай бұрын

  • 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

    @katieerickson8010@katieerickson80103 жыл бұрын

    • Na

      @lrx3634@lrx36343 жыл бұрын

    • euridite

      @OR-pv4iz@OR-pv4iz3 жыл бұрын

    • School wants kids dumb

      @GODHATESVANDAL@GODHATESVANDAL3 жыл бұрын

    • Presentation is everything

      @crr5699@crr56993 жыл бұрын

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

      @LacedWithOreos@LacedWithOreos3 жыл бұрын

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

    @hotpotato5587@hotpotato55873 жыл бұрын

    • They solved it. Pay attention.

      @Below-Zero.@Below-Zero.3 жыл бұрын

    • Roland Duson they made a joke, pay attention.

      @LordLongHands@LordLongHands3 жыл бұрын

    • @@LordLongHands You're so boring and typical.

      @Below-Zero.@Below-Zero.3 жыл бұрын

    • *Deep Inhale* Science says otherwise.

      @r00b27@r00b273 жыл бұрын

    • @@Below-Zero. it's more boring and typical to miss the joke my friend.

      @r00b27@r00b273 жыл бұрын

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

    @PatrickStewarts@PatrickStewarts Жыл бұрын

  • 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

    @herisruns@herisruns9 ай бұрын

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

    @SemiMono@SemiMono3 жыл бұрын

    • I hate that I broke out laughing to this

      @Rawi888@Rawi8883 жыл бұрын

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

      @cruxofthecookie@cruxofthecookie3 жыл бұрын

    • How 'bout 'few-tile'?

      @richardpark3054@richardpark30543 жыл бұрын

    • 💀💀💀

      @justsaus9897@justsaus98973 жыл бұрын

    • Fulltile.

      @geraldhng8774@geraldhng87743 жыл бұрын

  • *Something happens* Golden ratio: hello there

    @saadejaz8025@saadejaz80253 жыл бұрын

    • GENERAL RATIO! You are a bold one

      @sumans7620@sumans76203 жыл бұрын

    • This video's aspect ratio

      @jmir1@jmir13 жыл бұрын

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

      @arnabbiswasalsodeep@arnabbiswasalsodeep3 жыл бұрын

    • The angel from my nightmare

      @sungazing59@sungazing593 жыл бұрын

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

      @loewoo9821@loewoo98213 жыл бұрын

  • Time to make an update!

    @dashpowers22@dashpowers22 Жыл бұрын

  • an aperiodic monotile was just found!!!

    @BakeBakePi@BakeBakePi Жыл бұрын

    • Wonder if he will do a follow up video!

      @gamerman315@gamerman315 Жыл бұрын

  • One of the most interesting classes I ever had

    @AFKBIN@AFKBIN3 жыл бұрын

    • Bruh

      @BruhMoment-ym2jb@BruhMoment-ym2jb3 жыл бұрын

    • Is this a normal coment???

      @stefanleu4278@stefanleu42783 жыл бұрын

    • @@stefanleu4278 er yeah

      @AFKBIN@AFKBIN3 жыл бұрын

    • @@AFKBIN lol

      @donuts3476@donuts34763 жыл бұрын

    • @@AFKBIN oh hi there

      @vaughn1044@vaughn10443 жыл бұрын

  • 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!

    @abhishekshah11@abhishekshah113 жыл бұрын

    • Yes bro

      @sandeeptiwari5189@sandeeptiwari51893 жыл бұрын

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

      @sathvikmalgikar2842@sathvikmalgikar28423 жыл бұрын

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

      @LouSaydus@LouSaydus3 жыл бұрын

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

      @AndrasDNagy-bs5dc@AndrasDNagy-bs5dc3 жыл бұрын

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

      @Rotem_S@Rotem_S3 жыл бұрын

  • In 2012 I attended a talk by the very Dan Schechtman about quasi-cristals. His talk paled in comparison to this video. I walked out of there with absolutely no idea of what quasi-cristals were, but you made it cristal clear to me (pun not inended) in just 20 minutes. Goes to show you the, not just importance, but NECESSITY of science communicators to spread knowledge.

    @DanielVCOliveira@DanielVCOliveira Жыл бұрын

  • 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.

    @spookyowlsounds3666@spookyowlsounds36665 ай бұрын

  • 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.

    @IanChristopher@IanChristopher3 жыл бұрын

    • This guy gets it

      @AngadSehdeva@AngadSehdeva3 жыл бұрын

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

      @Orroset@Orroset3 жыл бұрын

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

      @ishantyadav5532@ishantyadav55323 жыл бұрын

    • 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@secularmonk51763 жыл бұрын

    • 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.

      @williamcrosby1061@williamcrosby10613 жыл бұрын

  • 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.

    @DijaFix@DijaFix3 жыл бұрын

    • 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.

      @Ludifant@Ludifant3 жыл бұрын

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

      @teo3066@teo30663 жыл бұрын

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

      @simonwesterlund2151@simonwesterlund21513 жыл бұрын

    • 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.

      @aversal@aversal3 жыл бұрын

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

      @manicjupiterflute@manicjupiterflute3 жыл бұрын

  • This one of the best KZhead videos ever made.

    @anoirbentanfous@anoirbentanfous Жыл бұрын

  • I return to this video after knowing about the new Einstein Tile

    @Leibniz_28@Leibniz_28 Жыл бұрын

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

    @frankovich213@frankovich2133 жыл бұрын

    • 😂

      @jesserobinson2948@jesserobinson29483 жыл бұрын

    • team sucks lol

      @bro8616@bro86163 жыл бұрын

    • Dont care didn’t ask

      @AnguishedMan@AnguishedMan3 жыл бұрын

    • Lol 😂

      @smarthydra061@smarthydra0613 жыл бұрын

    • 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".

      @columbus8myhw@columbus8myhw3 жыл бұрын

  • 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 👍

    @jmir1@jmir13 жыл бұрын

    • Same here

      @stefantieber7805@stefantieber78053 жыл бұрын

    • No really?

      @Luke-zw5el@Luke-zw5el3 жыл бұрын

    • I can confirm, nice catch :D

      @Blackn3t@Blackn3t3 жыл бұрын

    • Yeah... same 🤥

      @chillbillg2465@chillbillg24653 жыл бұрын

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

      @jmir1@jmir13 жыл бұрын

  • Really well illustrated... worthwhile subscription

    @soupnoodles@soupnoodles Жыл бұрын

  • My Physics 581 (solid state physics) teacher briefly metioned quasicrystals in class today and I remembered this video. I went back and watched it again with a new perspective and it totally blew my mind. I'v always loved Kepler's wierd geometric obsessions, so this was cool to see applied to my field of study!

    @joshuahancock2079@joshuahancock2079 Жыл бұрын

    • Nerd

      @gamechip06@gamechip06 Жыл бұрын

  • 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!

    @hugobethancourt4191@hugobethancourt41913 жыл бұрын

    • I haven’t enjoyed a video of his for years

      @westernbrumby@westernbrumby3 жыл бұрын

    • @@westernbrumby why so?

      @monirkinder7184@monirkinder71843 жыл бұрын

    • @@westernbrumby lol

      @tobiasrogers2724@tobiasrogers27243 жыл бұрын

    • “As a physics and mathematics major”

      @12Prakhar@12Prakhar3 жыл бұрын

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

    @XFz2nLDWo73x95@XFz2nLDWo73x952 жыл бұрын

    • 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.

      @DarrenGedye@DarrenGedye2 жыл бұрын

    • Is he a teacher or is he just someone like us

      @UserName-ii1ce@UserName-ii1ce2 жыл бұрын

    • @@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

      @Bubbl607@Bubbl6072 жыл бұрын

    • The man is a genius

      @PianoGesang@PianoGesang2 жыл бұрын

    • 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

      @thegreatbritishcircusfeatu2531@thegreatbritishcircusfeatu25312 жыл бұрын

  • This video is especially inspiring! I really appreciate your work!

    @watchimgo@watchimgoАй бұрын

  • truly amazing, the mysteries of geometric nature some parts of this video blew my mind away

    @ianfarquharson2933@ianfarquharson2933 Жыл бұрын

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

    @No-pm4ss@No-pm4ss3 жыл бұрын

    • Maths : QUESTION Factor high degree polynomial kzhead.info/sun/d51ygKWLoJ6GpZE/bejne.html See one time

      @mr.knight8967@mr.knight89673 жыл бұрын

    • true

      @binashah3106@binashah31063 жыл бұрын

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

      @stevethea5250@stevethea52503 жыл бұрын

    • 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

      @atulit@atulit3 жыл бұрын

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

      @rykerquackenbush585@rykerquackenbush5853 жыл бұрын

  • 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

    @WhoEvenFilms@WhoEvenFilms3 жыл бұрын

    • Lol I keep thinking that too

      @sapphirec_5689@sapphirec_56893 жыл бұрын

    • I've just seen it lol

      @miki890098@miki8900983 жыл бұрын

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

      @Zhuk-zc8es@Zhuk-zc8es3 жыл бұрын

    • @@pyrthero ok good

      @Zhuk-zc8es@Zhuk-zc8es3 жыл бұрын

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

      @WhoEvenFilms@WhoEvenFilms3 жыл бұрын

  • There is now a 1 tile version

    @cmapez@cmapez11 ай бұрын

  • Your obsessiveness is an inspirational. Thank you

    @thomblinn4731@thomblinn4731 Жыл бұрын

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

    @titaniummechanism3214@titaniummechanism32143 жыл бұрын

    • This video will start a trend, for sure.

      @BigDaddyWes@BigDaddyWes3 жыл бұрын

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

      @floreaciprian9742@floreaciprian97423 жыл бұрын

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

      @TheSecondVersion@TheSecondVersion3 жыл бұрын

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

      @paulflute@paulflute3 жыл бұрын

    • You guys have an upstairs bathroom 🙃

      @SirAlbertoo@SirAlbertoo3 жыл бұрын

  • 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

    @yanna5885@yanna58853 жыл бұрын

    • 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.

      @gweltazlemartret6760@gweltazlemartret67603 жыл бұрын

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

      @cly7894@cly78943 жыл бұрын

    • Because school just exists to make you obedient lol

      @LisaBeergutHolst@LisaBeergutHolst3 жыл бұрын

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

      @gweltazlemartret6760@gweltazlemartret67603 жыл бұрын

  • I gotta stop watching these but they are so good I can't!

    @discord_non@discord_non7 ай бұрын

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

    @aidanharley243@aidanharley2433 жыл бұрын

    • MATH IS A JOJO REFERENCE.

      @St3lla-MaR1s@St3lla-MaR1s3 жыл бұрын

    • Must be some geometric magic

      @field5758@field57583 жыл бұрын

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

      @snackboxone364@snackboxone3643 жыл бұрын

    • @@St3lla-MaR1s exactly

      @thesovietgascan@thesovietgascan3 жыл бұрын

    • @@field5758 The magic of 5-fold symmetry.

      @segmentsAndCurves@segmentsAndCurves3 жыл бұрын

  • Students: Learning shapes is for kids! Shapes: *•-•*

    @starfox5165@starfox51653 жыл бұрын

    • 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.

      @vorshack8968@vorshack89683 жыл бұрын

    • Vorshack uhh... what?

      @MechanicalApples@MechanicalApples3 жыл бұрын

    • Lol

      @100wyyy@100wyyy3 жыл бұрын

    • Vorshack wtf

      @exorcistoreo6057@exorcistoreo60573 жыл бұрын

    • Vorshack ar u oke

      @AverageJoe610@AverageJoe6103 жыл бұрын

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

    @coco0789@coco0789 Жыл бұрын

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

    @jameskling9400@jameskling9400 Жыл бұрын

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

    @DinoQuintana@DinoQuintana3 жыл бұрын

    • humorous joke my good man

      @ameyagupta7285@ameyagupta72853 жыл бұрын

    • Dad?

      @DittrichCo@DittrichCo3 жыл бұрын

    • It's infinitile?

      @jaypaans3471@jaypaans34713 жыл бұрын

    • It's Tilenol.

      @inifin8@inifin83 жыл бұрын

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

    @SwaroopNarasimhaK@SwaroopNarasimhaK3 жыл бұрын

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

      @calholli@calholli3 жыл бұрын

    • 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@eval_is_evil3 жыл бұрын

    • ​@@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

      @capsey_@capsey_3 жыл бұрын

    • 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.

      @TStut15IsMyMinecraft@TStut15IsMyMinecraft3 жыл бұрын

    • 😂😂😂😂

      @yashmakkar4172@yashmakkar41723 жыл бұрын

  • You are one of or even THE best science channel

    @omegalul4546@omegalul4546 Жыл бұрын

  • I love videos like this with these titles when it visibly repeats in the thumbnail

    @jammyjimmy666@jammyjimmy666 Жыл бұрын

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

    @piyushpatel2836@piyushpatel28363 жыл бұрын

    • Welcome to the channel.

      @jacobshirley3457@jacobshirley34573 жыл бұрын

    • @@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@piyushpatel28363 жыл бұрын

    • @@piyushpatel2836 Have you watched the recent videos?

      @jacobshirley3457@jacobshirley34573 жыл бұрын

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

    @douglasshouganai2516@douglasshouganai25163 жыл бұрын

    • 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@drumnbreakz3 жыл бұрын

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

      @drumnbreakz@drumnbreakz3 жыл бұрын

    • "Penrose Tiling. Making people high without drugs!"

      @mihan2d@mihan2d3 жыл бұрын

    • @@mihan2d LMFAO

      @tunigkhan4942@tunigkhan49423 жыл бұрын

    • there is areason there isnt one, it wouldnt work

      @ad_exodus@ad_exodus3 жыл бұрын

  • 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

    @alyssatipton5080@alyssatipton5080Ай бұрын

  • "But that didn't stop Keplar from trying" made me smile, thank you!

    @barbiincognito13@barbiincognito13 Жыл бұрын

  • 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!

    @Cardgames4children@Cardgames4children3 жыл бұрын

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

      @deusvult5738@deusvult57383 жыл бұрын

    • 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

      @rich.wishes@rich.wishes3 жыл бұрын

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

    @rick2517@rick25172 жыл бұрын

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

      @juanbomfim22@juanbomfim222 жыл бұрын

    • Love the profile picture

      @Idiocy@Idiocy2 жыл бұрын

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

      @alicorn3924@alicorn39242 жыл бұрын

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

      @ryangraham6878@ryangraham68782 жыл бұрын

    • @@ryangraham6878 Still is right.

      @lordbanetheplayer8844@lordbanetheplayer88442 жыл бұрын

  • Update the video, new aperiodic tile just dropped

    @nicularstar@nicularstar11 ай бұрын

  • I am certain that I have watched this video like a couple of months or years ago but yet here I am rewarching it and learning everything again because I forgot it already lmao

    @deaponn3069@deaponn3069 Жыл бұрын

  • Class today we'll be learning about shapes Class: LOL shapes are for kids Shapes:

    @digbick6917@digbick69173 жыл бұрын

    • 😂

      @zemtex2323@zemtex23233 жыл бұрын

    • 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.

      @tausiftaha12@tausiftaha123 жыл бұрын

    • TT12- Roblox and more Our most sincere apologies, grandfather!

      @misslea-idv4734@misslea-idv47343 жыл бұрын

    • 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.*

      @misslea-idv4734@misslea-idv47343 жыл бұрын

    • 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.

      @misslea-idv4734@misslea-idv47343 жыл бұрын

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

    @yannisconstantinides7767@yannisconstantinides77673 жыл бұрын

    • 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.

      @Ludifant@Ludifant3 жыл бұрын

    • Nah man, I keep dying in geometry.😤

      @Seinaru@Seinaru3 жыл бұрын

    • For people who hate* (me)

      @jack-gf6jw@jack-gf6jw3 жыл бұрын

    • THEORIA OMNIA est un chercheur indépendant qui a développé une théorie qui va beaucoup plus loin que ce qui est montré ici... Faites une recherche...

      @sylvains.1404@sylvains.14043 жыл бұрын

    • Geometry is for little kids

      @Louganda@Louganda3 жыл бұрын

  • i watched it three times over one year, still amazing and it get richer..

    @arielmorandy8189@arielmorandy8189 Жыл бұрын

  • i used to play with those penrose tiles with the arcs! it's actually really satisfying to know now that the pattern Can't repeat as expected lol

    @nootnootimaboot8798@nootnootimaboot8798 Жыл бұрын

  • 11:49 "it's few-tile" Well played

    @bannor99@bannor993 жыл бұрын

    • If only I were this clever

      @veritasium@veritasium3 жыл бұрын

    • @@veritasium Hi!

      @Alefen@Alefen2 жыл бұрын

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

    @ill_insect@ill_insect2 жыл бұрын

    • Exaclty

      @JuiCe_W_999@JuiCe_W_9992 жыл бұрын

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

      @yourfunniboi423@yourfunniboi4232 жыл бұрын

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

      @riveraklan3072@riveraklan30722 жыл бұрын

    • Well I is 3 am so

      @shatteredmusic5218@shatteredmusic52182 жыл бұрын

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

      @savannahgunter5353@savannahgunter53532 жыл бұрын

  • I swear to god veritasium always has the most interesting titles

    @ThatJyJade@ThatJyJade6 ай бұрын

  • Einstein tile has been discovered that allows aperiodic tiling with just 1 shape.

    @kostaad@kostaad11 ай бұрын

    • Any videos with link? Very curious

      @frozenflava@frozenflava11 ай бұрын

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

    @haydensmolik222@haydensmolik2223 жыл бұрын

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

      @nekomimitheiii6091@nekomimitheiii60913 жыл бұрын

    • Aarav swamy what

      @fssamiel1156@fssamiel11563 жыл бұрын

    • @@nekomimitheiii6091 bro?

      @akkti_@akkti_3 жыл бұрын

    • How big is your kitchen?

      @RoulDukeGonzo@RoulDukeGonzo3 жыл бұрын

    • Lmao

      @sophiaflanigan5866@sophiaflanigan58663 жыл бұрын

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

    @PeterSFam@PeterSFam3 жыл бұрын

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

      @abacussssss@abacussssss2 жыл бұрын

    • 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

      @rachelLadyD@rachelLadyD2 жыл бұрын

    • im te kind of person to actually find the pattern

      @potassium6677@potassium66772 жыл бұрын

    • I can kinda see matching points, almost like symmetry

      @gabrielabatista6016@gabrielabatista60162 жыл бұрын

    • @@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

      @The_Biologist27@The_Biologist272 жыл бұрын

  • i am so so happy about the hat and turtle tiles i have been waiting for them for years

    @telotawa@telotawa11 ай бұрын

  • I just love how every CGP Grey fan is screaming that hexagons are the bestagons. Spreading the knowledge on its finest level; on and onagon

    @mrnecrotic@mrnecrotic Жыл бұрын

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

    @VPZealouZ@VPZealouZ2 жыл бұрын

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

      @1TieDye1@1TieDye12 жыл бұрын

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

      @ash.mystic@ash.mystic2 жыл бұрын

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

      @KillerKilometers@KillerKilometers2 жыл бұрын

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

      @carmengogeidnas9670@carmengogeidnas96702 жыл бұрын

    • Haha, 420 likes :D

      @MelodyMaker716@MelodyMaker7162 жыл бұрын

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

    @carykh@carykh3 жыл бұрын

    • well hello carykh nice to see u here

      @nostalgia1036@nostalgia10363 жыл бұрын

    • Cary Kite-piece Hobbyist

      @franchufranchu119@franchufranchu1193 жыл бұрын

    • 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.

      @phlaxyr@phlaxyr3 жыл бұрын

    • Yo hi cary

      @calebyao.@calebyao.3 жыл бұрын

    • Hey Cary!

      @txtp@txtp3 жыл бұрын

  • Every time I watch this video I feel an inmense sense of dread coming from the ever-recurring 5-fold symetry and the golden ratio

    @KabuMontasaurios@KabuMontasauriosАй бұрын

  • The cannonball solution is one of those things everyone wonders about for a second and then immediately forgets about UNTIL watching this video and learn something incredibly interesting.

    @thestarseeker8196@thestarseeker8196 Жыл бұрын

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

    @Jamandbutter0@Jamandbutter03 жыл бұрын

    • you ruined everything, stop you have much power

      @hosungryn9450@hosungryn94502 жыл бұрын

    • It does because it follows certain rules

      @santiago_moralesduarte@santiago_moralesduarte2 жыл бұрын

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

      @alphonsobutlakiv789@alphonsobutlakiv7892 жыл бұрын

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

      @onlookerofthings6029@onlookerofthings60292 жыл бұрын

    • @@santiago_moralesduarte tell me, what are the rules

      @specsamhain_909@specsamhain_9092 жыл бұрын

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

    @andromedagalaxy7717@andromedagalaxy77173 жыл бұрын

    • 🤣😂😅☺️😊

      @JohnnyArtPavlou@JohnnyArtPavlou3 жыл бұрын

    • And the bit raaaaate dies that’s a moire

      @zzzetsulive@zzzetsulive3 жыл бұрын

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

      @RottenLegacy@RottenLegacy3 жыл бұрын

    • *bells ring*

      @druze3210@druze32103 жыл бұрын

    • that's really smart!

      @DrumApe@DrumApe3 жыл бұрын

  • 12:36 THE GOLDEN RATIO STRIKES AGAIN! Ever since I learned about the golden ratio, it just inexplicably shows up everywhere. It's truly amazing how so much of our reality is connected by this simple ratio.

    @magentablood8263@magentablood8263 Жыл бұрын

  • Absolutely brilliant!

    @ahaanbhosale5270@ahaanbhosale5270 Жыл бұрын

  • Imagine proving your teachers prideful theory wrong. I’d just be like “only A’s and I won’t tell the press”

    @boxedbygen@boxedbygen3 жыл бұрын

    • We can't have half-an A, press.

      @seithseith@seithseith3 жыл бұрын

    • 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

      @genericbee1902@genericbee19023 жыл бұрын

    • Teachers are wrong 90+% of the time if they have to follow the scientific method.

      @StarNumbers@StarNumbers3 жыл бұрын

    • 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.

      @bawbsmith@bawbsmith3 жыл бұрын

    • Why do we watch

      @erickthunder4083@erickthunder40833 жыл бұрын
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