KZhead

The most unexpected answer to a counting puzzle

3Blue1Brown
2019 ж. 12 Қаң.
12 780 034 Рет қаралды
Жүктеу

Solution: • Why do colliding block...
Even prettier solution: • How colliding blocks a...
Help fund future projects: / 3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: 3b1b.co/clacks-thanks
New to this channel? It's all about teaching math visually. Take a look and see if there's anything you'd like to learn.
NY Times blog post about this problem:
wordplay.blogs.nytimes.com/20...
The original paper by Gregory Galperin:
www.maths.tcd.ie/~lebed/Galpe...
Evidently, Numberphile also described this problem (I had not known):
• Pi and Bouncing Balls ...
You'll notice that video has an added factor of 16 throughout, which is not here. That's because they're only counting the collisions between blocks (well, balls in their case), and they're only counting to the point where the big block starts moving the other way.
Thanks to these viewers for their contributions to translations
Bengali: Prayas Sanyal
Hebrew: Omer Tuchfeld
Italian: @Deye27, @hi-anji
------------------
These animations are largely made using manim, a scrappy open source python library: github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
vincerubinetti.bandcamp.com/a...
Stream the music on Spotify:
open.spotify.com/album/1dVyjw...
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with KZhead, if you want to stay posted on new videos, subscribe: 3b1b.co/subscribe
Various social media stuffs:
Website: www.3blue1brown.com
Twitter: / 3blue1brown
Reddit: / 3blue1brown
Instagram: / 3blue1brown_animations
Patreon: / 3blue1brown
Facebook: / 3blue1brown

Пікірлер

  • Pi has no business showing up literally everywhere in math.

    @antiscribe4150@antiscribe41503 жыл бұрын

    • Wait, it's all pi?

      @onebeets@onebeets3 жыл бұрын

    • @@onebeets always has been...

      @gruncho8227@gruncho82273 жыл бұрын

    • What goes around comes around and voila: pi.

      @bignicebear2428@bignicebear24283 жыл бұрын

    • Nobody expects the Pi inquisition!

      @Saturnares@Saturnares3 жыл бұрын

    • @antiscribe it’s like that one guy who always seems to be at every party but no one knows who invite him. He just shows up no matter where you are.

      @dathaniel9403@dathaniel94032 жыл бұрын

  • 1:40 Me opening the door at 1:43 am

    @evank3718@evank37185 жыл бұрын

    • 3:14 am

      @orvillevroemen3956@orvillevroemen39565 жыл бұрын

    • PRODUCES SLAP BASS MELODIES，SO TRUE

      @jcgongavoe337@jcgongavoe3375 жыл бұрын

    • hahahahah

      @appiusssss@appiusssss5 жыл бұрын

    • @@orvillevroemen3956 3:14

      @rolanddogna921@rolanddogna9215 жыл бұрын

    • Sounds like a sound effect on a zx spectrum game

      @colinjava8447@colinjava84475 жыл бұрын

  • 2:37 I was watching in the middle of the night and got absolutely flashbanged by the sudden swap from dark coloured example to bright white paper.

    @andrewdavis1138@andrewdavis11387 ай бұрын

    • same

      @redelf8052@redelf8052Ай бұрын

  • Another interesting observation : When the masses colliding are powers of some other base (say 3), the number of collisions still equal the digits of Pi, but in the same base. Eg : Pi in base 3 is 10.010211012222010211002111110221222220111201212121... If you run the simulation with masses of 1, 3^(2 * 1), 3^(2 * 2), 3^(2 * 3),..., then the number of collisions will be 1 (base 3), 10 (base 3), 100 (base 3), and 1001 (base 3) respectively. Number of collisions for 1,3^(2 * 50) will be first 50 digits of Pi in base 3 : 10010211012222010211002111110221222220111201212121 , or 2255343044159619899886237 in decimals.

    @siddharthabbanerjee@siddharthabbanerjee2 жыл бұрын

    • Now that is very very cool!

      @JeffMTX@JeffMTX Жыл бұрын

    • this is what I thought... awesome!!!

      @vijayrajendran4006@vijayrajendran4006 Жыл бұрын

    • yes

      @Mimaloodak@Mimaloodak Жыл бұрын

    • Good thinking

      @partyboy4121@partyboy4121 Жыл бұрын

    • 🤓

      @markdawg@markdawg Жыл бұрын

  • Originally discovered in 1995, published in 2003. maybe he DID count the clacks?

    @ikkocan@ikkocan5 жыл бұрын

    • lol

      @mikeymcmikeface5599@mikeymcmikeface55995 жыл бұрын

    • Alem adamsın

      @fifofuko1864@fifofuko18645 жыл бұрын

    • Lmfao😂😂😂

      @ViratKohli-jj3wj@ViratKohli-jj3wj5 жыл бұрын

    • lol

      @diogoandre756@diogoandre7565 жыл бұрын

    • Probably a computer can do this simulation and count the clacks

      @theoanthony1901@theoanthony19014 жыл бұрын

  • Physicists: "Noo! You can't have ideal collisions make a sound!" 3B1B: "Haha, blocks go brr"

    @Jouzou87@Jouzou874 жыл бұрын

    • Don't you mean clack

      @midlanismail416@midlanismail4163 жыл бұрын

    • @@midlanismail416 in the 100000kg one it went brrrrrr

      @pixelartkid7965@pixelartkid79653 жыл бұрын

    • The sound also goes hypersonic because the frequency of clacks is so high

      @aa01blue38@aa01blue383 жыл бұрын

    • @@aa01blue38 lmao what, that’s not how that works dude

      @thelukedankwalker@thelukedankwalker3 жыл бұрын

    • @@aa01blue38 "Hypersonic" means "faster than sound"... You literally just said "the sound goes faster than sound".

      @jamesorendorff2284@jamesorendorff22843 жыл бұрын

  • This is why I love math. You always look at a problem, read it out loud, then discover something about that problem. It's like there is always a hidden puzzle in math equations. For example, in 7th grade, we were learning about circumference. My teacher showed the class a video which said that if you take the diameter and try to wrap it around a circle, there's a tiny bit left, to which I realized that that tiny bit looked EXACTLY like pi, or 3.14. It's so cool finding small details that make so much since!

    @hotpockets1417@hotpockets14175 ай бұрын

    • 🤓🤓🤓

      @user-rc1mv2zy3r@user-rc1mv2zy3r2 ай бұрын

    • @@user-rc1mv2zy3r thanks :)

      @hotpockets1417@hotpockets14172 ай бұрын

  • the clacking sound is so satisfying i want it on repeat forever in my brain

    @erinc129@erinc129 Жыл бұрын

  • Teacher: "gimme some digits of pi" Me: "clack clack clackclackclackcla... clackclack clack clack... Wait for it" Teacher: "what on earth is that supp...?" Me: "... clack"

    @poopcatapult2623@poopcatapult26235 жыл бұрын

    • 3.1415926535897932 There take that

      @RubyPiec@RubyPiec5 жыл бұрын

    • No, it's: clack clackclack claclaclclcl reeEEEEEeee clacla clack clack... clack

      @mediding7001@mediding70015 жыл бұрын

    • I demand immediate satisfaction!

      @mikeymcmikeface5599@mikeymcmikeface55995 жыл бұрын

    • I baked you a pie

      @chikoroblox9734@chikoroblox97345 жыл бұрын

    • Damn, this made my day! 😂😂😂

      @skyspects1211@skyspects12115 жыл бұрын

  • That animation of the spherical cow actually made me wheeze. That was unexpected

    @Selicre@Selicre5 жыл бұрын

    • Selicre [Hyper] it’s my favorite picture on wikipedia

      @chobyriley417@chobyriley4175 жыл бұрын

    • that's a great image

      @NickiRusin@NickiRusin5 жыл бұрын

    • @@NickiRusin I really, really, really like this image.

      @Selicre@Selicre5 жыл бұрын

    • @@Selicre a long time ago my dad told me a great physics joke. I don't have the patience to translate it from Russian, but the punchline boils down to "a spherical horse in a vacuum". For some reason I never tried to visualize that, but now it's crisp in my mind thanks to this video.

      @NickiRusin@NickiRusin5 жыл бұрын

    • ASSUME THE SPHERICAL COW!

      @AlRoderick@AlRoderick5 жыл бұрын

  • I thought your video on relating the Basel Problem to the circle was simply gorgeous, astonishing and unforgettable. These three surpass even that! Thank you so very much!

    @bmschech@bmschech8 ай бұрын

  • i love coming back to this video every once in a while because it's just so mind boggling that it reblows my mind every time

    @ItsNekotaku@ItsNekotaku Жыл бұрын

  • *gets this on recommendations for the 10th time* Brain: click on it. Me: but I've already wa- Brain: *do it.*

    @ZzSlumberzZ@ZzSlumberzZ4 жыл бұрын

    • this is probably like my 6th time

      @SpaceSeal64@SpaceSeal643 жыл бұрын

    • Its my 5th time

      @andy-kg5fb@andy-kg5fb3 жыл бұрын

    • its my 4th time

      @boldizsarfiser9894@boldizsarfiser98943 жыл бұрын

    • This is my 12th time…

      @Game_Sometimes@Game_Sometimes2 жыл бұрын

    • Ah yes.. 𝗥𝗲𝗹𝗮𝘁𝗮𝗯𝗹𝗲.

      @seanjericdioquino197@seanjericdioquino1972 жыл бұрын

  • Pi is a creep. I'm gonna file a restraining order on him. He has started to show up on my integration problems now. He's gone too far.

    @rishujeetrai5780@rishujeetrai57804 жыл бұрын

    • pi is a cursed number, way more cursed than 13 or 666.

      @oblivion2755@oblivion27554 жыл бұрын

    • @@oblivion2755 whats wrong with 13 lol it's my lucky number

      @iqbaltrojan@iqbaltrojan4 жыл бұрын

    • @@iqbaltrojan oh the irony

      @thewall4069@thewall40694 жыл бұрын

    • @@oblivion2755 *4* is the worst

      @notyepdranel961@notyepdranel9614 жыл бұрын

    • @@oblivion2755 indeed four, or, in Japanese, shi, which us also the Japanese word for death, is terribly cursed

      @akasakasvault7597@akasakasvault75974 жыл бұрын

  • 0:49 i saw this on tiktok, they did not give credit or anything no link to the original just sped it up, glad i found the original

    @ridhomblr@ridhomblr2 жыл бұрын

  • Doctor: it’s not gonna hurt! The kid in the next room: 2:22

    @iamsopro4115@iamsopro41159 ай бұрын

  • Highest quality KZheadr out there. And I mean that in every dimension.

    @The-Rest-of-Us@The-Rest-of-Us5 жыл бұрын

    • Make that in concurrent parallel dimensions 😉

      @ariqahmer@ariqahmer5 жыл бұрын

    • Even the fourth?

      @jacobkleeman8546@jacobkleeman85465 жыл бұрын

    • @@jacobkleeman8546 All spatial and abstract dimensions up to infinity, even the temporal dimensions (if 2D time and up makes any sense). Even the fractal dimensions where you can have non-integer values (like 1.3425 dimensions). Even any system, existing or to-be-discovered or purely nonsensical for the sake of argument, that calls for negative value dimensions, or imaginary number values, or complex values, or quaternions, or octonions, or sedonions, and beyond.

      @ganaraminukshuk0@ganaraminukshuk05 жыл бұрын

    • @@ariqahmer we need to talk about parallel universes

      @papi1050@papi10505 жыл бұрын

    • @@papi1050 Agreed 🤔😎😍

      @ariqahmer@ariqahmer5 жыл бұрын

  • I like how the speed of the last collision is an expression of the remaining digits. So when it's 314(15...) collisions it juuuust reaches the line, but when it's 31415(92...), it gives the moving block a proper final spank to send it on its way.

    @AbCat4@AbCat42 жыл бұрын

    • wait, if what you're saying is true, we can get more digits by analysing the speed more intuitively?

      @vijayrajendran4006@vijayrajendran4006 Жыл бұрын

  • 3Blue1Brown never fails to make me question reality!

    @PersonWithAFunnyBone@PersonWithAFunnyBone7 ай бұрын

  • 2:32 ' Credit to the viewer Henry Cavill.' Of course Superman would know the answer. He's brilliant at math. And physical education.

    @andrewmoonbeam321@andrewmoonbeam3214 жыл бұрын

    • *kavle

      @andrewzhang8512@andrewzhang85123 жыл бұрын

    • @@andrewzhang8512 guess who didn't get the joke

      @mono6359@mono63592 жыл бұрын

    • @@mono6359 ohhhhhhhhhhhhhhhhhhhhhhhhhh mb

      @andrewzhang8512@andrewzhang85122 жыл бұрын

    • Lol

      @hansondesa188@hansondesa1882 жыл бұрын

    • Silver for physics, steel for maths

      @watlehbillidijedhik@watlehbillidijedhik10 ай бұрын

  • I don’t speak English. So I don’t get it well. But when I got that the collisions number turned near π, I was like “！？.” It was so beautiful phenomenon.

    @EnglishNijisanji@EnglishNijisanji5 жыл бұрын

    • cool

      @anselmschueler@anselmschueler5 жыл бұрын

    • Hi (sorry for my bad english)

      @dxrpz1669@dxrpz16695 жыл бұрын

    • !!コメントだけで登録者10万人を目指す すうがくはすばらしいですね

      @IQuickscopeCA@IQuickscopeCA5 жыл бұрын

    • Blakee Yes, I believe math is beautiful and also amazing

      @EnglishNijisanji@EnglishNijisanji5 жыл бұрын

    • !!コメントだけで登録者10万人を目指す You write English wonderfully! ❤️

      @ARlELATOM@ARlELATOM5 жыл бұрын

  • thank you for giving me a math project! this was very fun to work on and you explain this very well.

    @milk_WOO@milk_WOO3 ай бұрын

  • I loved this video but lost it for 3 years I am so glad I found it again, comment "salute" for those who still haven't refound this

    @jasongusta7419@jasongusta74192 жыл бұрын

    • salute

      @jasongusta7419@jasongusta74192 жыл бұрын

  • 2:31 when the actor for Superman helps out 3Blue1Brown

    @DynestiGTI@DynestiGTI5 жыл бұрын

    • LUL

      @HauntaskhanHYPNOSIS@HauntaskhanHYPNOSIS5 жыл бұрын

    • But Gregory Galperin is the real Superman here ❣

      @kasperjoonatan6014@kasperjoonatan60145 жыл бұрын

    • When you need to move blocks weighing 10^(20-1) kg, you'd better call Superman to help out!

      @EayuProuxm@EayuProuxm5 жыл бұрын

    • Is it really the same person ie superman?

      @duckymomo7935@duckymomo79355 жыл бұрын

    • True LMAO

      @thanostitan.infinity@thanostitan.infinity5 жыл бұрын

  • Small brain: Memorizing digits of pi Galaxy brain: Having blocks of precise mass on hand and counting the collisions

    @Indomat64@Indomat645 жыл бұрын

    • Also me: destroying earth to find Pi to the 20th digit

      @froggymine5003@froggymine50035 жыл бұрын

    • Don’t forget about removing friction!

      @torezcoasters6043@torezcoasters60434 жыл бұрын

  • Common core lessons in a billion billion billion billion nutshells, Clacks is in session

    @roymuerlunos2426@roymuerlunos2426 Жыл бұрын

  • do you have any update on this? I found an interesting correlation between pi number, circle and perhaps collisions of all particles in the universe? Is there any concept of collision force? Excuse my questions I was not good at physics during school I am just being curious and imaginative

    @chyuyeyo9933@chyuyeyo99338 ай бұрын

  • Sliding off to infinity, never to be touched again- so sad

    @bobbyp4025@bobbyp40254 жыл бұрын

    • *adding sad comment about you and your ex

      @Kido336@Kido3364 жыл бұрын

    • my dad's hand and my crtoch

      @ah2522@ah25224 жыл бұрын

    • r/cursed comments

      @noddye1764@noddye17644 жыл бұрын

    • @AssmasterFlex69 until the big crunch, and everything will be once again, at once place, at one time

      @tarzbaow@tarzbaow4 жыл бұрын

    • Bobby P the blocks will forever remember how their first and last touches were

      @maxtreme2901@maxtreme29014 жыл бұрын

  • 3:56 Why is this cow your idea of "way over-idealized" and why do I agree?

    @epochthekid@epochthekid4 жыл бұрын

    • i don't know about a spherical cow, but there is popular joke about spherical horse: Some man hired physicists to calculate which horse will finish first in the upcoming races. They gave him their results. And that horse didn't win. Angry man asked physicists why is that so, and they replied, that they calculated race results for spherical absolutely black horses in vacuum. So this is a joke about over-idealized conditions that physicists use in their calculations.

      @different_stuff@different_stuff4 жыл бұрын

    • DifferentStuff Yeah, that’s pretty much it. Both my engineering teachers in the past enjoyed the phrase “spherical cow in a vacuum,” which just says how engineers and physicists would assume the cow is a sphere so that calculations are much easier

      @fordsquared537@fordsquared5374 жыл бұрын

    • @@fordsquared537 In my language it's a horse.

      @georgiykireev9678@georgiykireev96784 жыл бұрын

    • in topology, you count holes. A cow (assuming it had no holes) would be the same as a sphere from a topological perspective since they both have no holes.

      @infintiyward@infintiyward4 жыл бұрын

    • It's from a Neil deGrasse Tyson's joke. It's about how physicists love to see the things in universe to be a perfect sphere. If u ask a farmer what is a perfect cow, he will answer a perfect cow is the one which will give lots of milk, a butcher will answer a perfect cow is the one which is fat. But a physicist will answer that a perfect cow is a cow which is spherical.

      @josephnimal953@josephnimal9534 жыл бұрын

  • Question: Would this same algorithm compute TAU if we switched the walls once after the initial series of collisions before the larger block is ejected back out from where it came? Let PI be defined as C/r (circumference of circle divided by the radius), AND TAU which is C/d (circumference / diameter). Can we reverse the roles of the walls to block the heavier block from leaving, so that the "high impedance" wall and "open circuit" walls are switched?

    @LydellAaron@LydellAaron2 жыл бұрын

  • Never have I ever thought that the small explanation bit with words sliding away at 3:59 from a math video would get me giggling like a kid at six in the morning

    @X_w45ey89@X_w45ey89 Жыл бұрын

  • Any maths/science/engineering problem: *exists* Pi: aight imma head *in*

    @myukunigunde8372@myukunigunde83723 жыл бұрын

  • Saw this at least 5 times. Still amazed at the quality of the explanations and the correlation itself. You are truly one of the best out there.

    @mrsaussissonsec1054@mrsaussissonsec10543 жыл бұрын

    • Watch it again

      @marcgonzalez5628@marcgonzalez5628 Жыл бұрын

    • @@marcgonzalez5628 aight

      @mrsaussissonsec1054@mrsaussissonsec1054 Жыл бұрын

    • again

      @Adarsh_amd@Adarsh_amd11 ай бұрын

    • Again

      @destroyer100onblitz@destroyer100onblitz11 ай бұрын

    • @@destroyer100onblitz ayo it's only been 4 days

      @mrsaussissonsec1054@mrsaussissonsec105411 ай бұрын

  • когда не мог определиться, что сдавать и купила на EL курсы Кико вместе с курсами физика и теперь ты здесь

    @ErniSpencer@ErniSpencer5 күн бұрын

  • I think the large cube motion represent as a semi-circle or half sine wave. Maybe something has to do with that which would be half of pie no collision to the big cube and half value are from just the end wall.

    @paragbehera754@paragbehera7542 ай бұрын

  • Clack.

    @kyriakos02@kyriakos024 жыл бұрын

    • [ I donot know. Let us ask someone. ]

      @AmadeuShinChan@AmadeuShinChan4 жыл бұрын

    • At some point the clacks would be so rapid that the frequency created would be too high pitched for human ears lmao

      @finalftl732@finalftl7324 жыл бұрын

    • @@finalftl732 so ideally you'd find the ideal magnitude that over a 10 hour total period would at some point get closer to the highest averagely humanly perceivable pitch than the next magnitude, which breaks that barrier. And there's your 10 hour video.

      @Torthrodhel@Torthrodhel4 жыл бұрын

    • MrBeast can, ofc.

      @alexniggins1799@alexniggins17994 жыл бұрын

    • Just loop the system - add an opposing wall the other side of the masses/objects; masses between 2 walls. Then that system cycles, repeating (to infinity). Under the special ideal conditions. A truly closed system, with only total motion & energy transfers, where all is constant & only velocity can change.

      @danielreed540@danielreed5404 жыл бұрын

  • 3blue: Quick! I need some visual way to show the audience how over-idealized this simulation is! 1brown: Cow sphere 3blue: w h a t ? 1brown: _c o w s p h e r e_

    @SCP--sf3fu@SCP--sf3fu3 жыл бұрын

    • cowsphere is one word actually

      @shadesmarerik4112@shadesmarerik41123 жыл бұрын

    • @@shadesmarerik4112 hiw do you know that???!?!?

      @alx-lm3kg@alx-lm3kg2 жыл бұрын

    • did he stutter 3blue?

      @jasongusta7419@jasongusta74192 жыл бұрын

    • @@achtsekundenfurz7876 Oh so it’s just the humor for simplified models such as a spherical cow because the shape of a cow is too complex lmao

      @maxnolife_@maxnolife_ Жыл бұрын

    • “Assume a spherical cow in a vacuum”

      @IanBLacy@IanBLacy10 ай бұрын

  • Ah so 3blue1brown is blueballing me. Figures 😂

    @feynstein1004@feynstein10045 жыл бұрын

    • you mean 3blue1brownballing you..?

      @dreamer097@dreamer0975 жыл бұрын

    • 3blueballing

      @GewelReal@GewelReal5 жыл бұрын

    • Would you rather they brown balled you?

      @lankymcgainsplease1236@lankymcgainsplease12365 жыл бұрын

    • tfw you came into the comments to make this exact joke xD

      @PrincessEev@PrincessEev5 жыл бұрын

    • Well at least you can see where the circle comes from coz the equation of a circle is (x-a) ^2 +(y-b) ^2 = r^2 so 1/2m1v^2 + 1/2m2v2^2 = const. is clearly a circle equation

      @aidanroberjot7469@aidanroberjot74695 жыл бұрын

  • Math: this is none of your business Pi: nu'uh

    @NoLife555@NoLife55511 ай бұрын

  • Thanks for showing me math can be fun and interesting. Great video

    @ericallen333@ericallen333Ай бұрын

  • Me: Hey that looks like Pi lol what a coincidence Me: Ah

    @underscoredfrisk@underscoredfrisk4 жыл бұрын

    • Exactly what I was thinking 😂

      @IAmNotASandwich453@IAmNotASandwich4534 жыл бұрын

  • I always COUNT my blessings whenever 3b1b uploads an UNEXPECTED video. As usual, great work!

    @FacultyofKhan@FacultyofKhan5 жыл бұрын

    • We feel the same way about you. :)

      @ParthKohli@ParthKohli5 жыл бұрын

    • I love the videos you put up! Great content that is nearly impossible to find elsewhere :D

      @SheikhEddy@SheikhEddy5 жыл бұрын

    • I am also making video on physics

      @PhysicsMath@PhysicsMath5 жыл бұрын

    • @Just A Random Dood Shhhh let me make my lame puns on the title

      @FacultyofKhan@FacultyofKhan5 жыл бұрын

    • I Subbed to Ur channel and really glad to have found you

      @vikranttyagiRN@vikranttyagiRN5 жыл бұрын

  • Thank you for letting me learn what “ 20 to the power of 5” is

    @cheeseburgerpro69@cheeseburgerpro697 ай бұрын

  • I love how the pi creature goes "this doesn't seem like me..."

    @johnchessant3012@johnchessant3012 Жыл бұрын

  • Originally discovered in 1995, published in 2003. Galperin (for 8 years): "Unbelievable. Unbelievable. Unbe... Well, time to publish then, I guess."

    @stevenvanhulle7242@stevenvanhulle72424 жыл бұрын

    • that's what i was wondering. why wait almost 10 years to publish it?

      @TechSupportDave@TechSupportDave4 жыл бұрын

    • The time he took to count the no. of collisions

      @hiransarkar1236@hiransarkar12364 жыл бұрын

    • @@hiransarkar1236 Gralperin: "956...957...958..." His wife: "Honey. Dinner is ready!" Gralperin: "Sure, I am comming soon...fuck...1...2...3..."

      @Proccito@Proccito4 жыл бұрын

    • Xd

      @matejpesl6442@matejpesl64424 жыл бұрын

    • no

      @derwastl@derwastl Жыл бұрын

  • “Like a satisfying game of breakout.” Is my favorite analogy on this channel so far.

    @djsalad5752@djsalad57523 жыл бұрын

    • The ideal cow takes the cake for me

      @o_o............@o_o............2 жыл бұрын

  • i truly understand why people loves so much mathematics, all makes sense and everything is explained , thats just magical 😊

    @lehamsterhollandais9908@lehamsterhollandais99084 ай бұрын

  • 0:38 the best decision ever took place on the planet

    @Ashishbro@Ashishbro Жыл бұрын

  • Everybody gangsta till the blocks start pullin’ out autotune

    @humanguy1643@humanguy16434 жыл бұрын

    • supertone lol

      @intravine@intravine3 жыл бұрын

  • Content - 💯 Editing - 💯 Voiceover - 💯 That's the definition of 3 blue 1 brown. Keep up the good work. U will definitely hit 10M subscribers soon

    @Shubham-qk8fw@Shubham-qk8fw5 жыл бұрын

    • I would give another 💯 for the colision sound kkkkk

      @guilhermegondin151@guilhermegondin1515 жыл бұрын

    • I wouldn't say soon, because for some reason most people hate math for no apparent reason. If they were to see the true beauty of math I believe there would be a lot more people loving math!

      @enverko@enverko5 жыл бұрын

    • @@guilhermegondin151 true, how could I forget that?

      @Shubham-qk8fw@Shubham-qk8fw5 жыл бұрын

    • @@enverko Yaa you are absolutely right

      @Shubham-qk8fw@Shubham-qk8fw5 жыл бұрын

    • Date format - 0

      @totoxahc@totoxahc5 жыл бұрын

  • "I highly encourage you to take a stab at it yourself" is the most someone has ever overestimated my abilities

    @michaelelliotbrownle@michaelelliotbrownle10 ай бұрын

  • 5 years and I am still waiting on Matt Parker to use this method on pi-day

    @deebambi5567@deebambi55673 ай бұрын

  • I really, REALLY, appreciate you leaving in that last bump at 3:53

    @hisham1111@hisham11113 жыл бұрын

    • Its just so amazing when the 1 kg block is moving slightly faster than the other block and you are just like ooooooooooooooooooooooooooooooooooOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOHHHHHHHHHH AAAAAAY

      @EntergeticalakaBot@EntergeticalakaBot2 жыл бұрын

    • @DON'T I WONT 😶

      @EntergeticalakaBot@EntergeticalakaBot2 жыл бұрын

  • 1:40 what a cool sound effect

    @jademonass2954@jademonass29544 жыл бұрын

    • Kinda sounds like the beginning of that one Crystal Castles song🤔

      @hishykot@hishykot3 жыл бұрын

    • Sounds like a radio

      @uvuvwevwevweonyetenyevweug6314@uvuvwevwevweonyetenyevweug63143 жыл бұрын

    • the beginning sounds like a geiger counter

      @Geotrax2@Geotrax2 Жыл бұрын

    • sounds like a creaking door

      @megaman4354@megaman4354 Жыл бұрын

    • ​@@hishykotCrimewave? Yeah I thought the same thing.

      @_._---.@_._---.10 ай бұрын

  • perfect explication of this fenomen. perfect video continue like this bro.

    @user-vc8ep9cr2f@user-vc8ep9cr2f7 ай бұрын

  • Time:exists Paradoxes: your not going anywhere!

    @Slapbattler666@Slapbattler66610 күн бұрын

  • Okay how many collisions if it was 10^1,000,000 times the weight of a 1kg object? Me: C L A C K

    @tyriekovco711@tyriekovco7114 жыл бұрын

    • 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000^10 years later " ... Clack.. I freaking finished to count that, oh boi!!"

      @batzal9459@batzal94594 жыл бұрын

    • It will become part of it.

      @full5339@full53394 жыл бұрын

    • Imagine gravity.

      @full5339@full53394 жыл бұрын

    • Or it would get so hot. May be it could melt.

      @full5339@full53394 жыл бұрын

    • @@full5339 I prefer to read this comment without the context of your other two. Hello. _Imagine gravity._

      @oliverholm3973@oliverholm39734 жыл бұрын

  • Wrong The 100²⁰ would have destroyed our slippery floor

    @jotarokujo5849@jotarokujo58495 жыл бұрын

    • And our tiny cube, either that or the bigger cube itself collapses into a black hole lol

      @carltonblend@carltonblend5 жыл бұрын

    • @@carltonblend And eats the Tinny cube

      @afoxwithahat7846@afoxwithahat78465 жыл бұрын

    • ​@@carltonblend and even if it has no enough mass for a black hole its gravity influences purity of the experiment )

      @thfFromRussia@thfFromRussia5 жыл бұрын

    • what about a 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 kg mass

      @Voidmoth1@Voidmoth14 жыл бұрын

    • @@carltonblend What if the cube is made out of bedrock?

      @asfi637@asfi6374 жыл бұрын

  • I saw this video months ago and replayed it just for the clacks

    @aexirrr@aexirrr2 жыл бұрын

  • I’m just here to say that I’m glad that there was sound on those simulations, they were satisfying

    @justinhoch4180@justinhoch41802 жыл бұрын

  • Dr. Galperin was my geometry professor at University. I have never enjoyed geometry so much in my life. The man knows and can prove an incredible number of astounding, non-obvious facts. Thanks for sharing his work!

    @toothandsticks@toothandsticks4 жыл бұрын

  • 1:34 The sound is perfect

    @InsertName5015@InsertName50153 жыл бұрын

    • 134 rearranged is 314

      @Caterblock@Caterblock3 жыл бұрын

    • bambi fantrack

      @devsus@devsus10 ай бұрын

    • Duck

      @user-ke7ki6mx2z@user-ke7ki6mx2z2 ай бұрын

  • Im not here for the math stuff. Im here for the colliding noise..

    @witherphoenixlp6476@witherphoenixlp6476 Жыл бұрын

  • Wtf that's actually cool. A groundbreaking discovery thanks to Henry.

    @dank9625@dank9625 Жыл бұрын

  • Reading comments section: . . Expectations: people discuss math reality: clack clack clack

    @sharbel9624@sharbel96245 жыл бұрын

  • 1:42 "Did you just fart?" "No, mom. I'm watching a physics video"

    @3kbschannel288@3kbschannel2884 жыл бұрын

    • did you just farted

      @blazeguruz8989@blazeguruz89894 жыл бұрын

    • @@blazeguruz8989 have you did farted?

      @oblivion2755@oblivion27554 жыл бұрын

    • *plot twist* you did fart while watching a physics video

      @Ixions@Ixions4 жыл бұрын

    • Who tf farts like that

      @cubeofmeat4982@cubeofmeat49824 жыл бұрын

    • Sounds like your bedroom’s door hinges need some lubricant XD

      @craetydonutkey1348@craetydonutkey13483 жыл бұрын

  • my brain likes the clicks

    @avalonpage5985@avalonpage598510 ай бұрын

  • It probably appears because the velocity gained and lost between both cubes which then represent aceleration diferences which then represents the variation between sen and coss

    @yyy76yyvhxxffb32@yyy76yyvhxxffb326 күн бұрын

  • That "clack" sound you added is apparently ASMR to my ears, so it's very appreciated.

    @XxJoe1101xX@XxJoe1101xX5 жыл бұрын

  • 2:30 when superman passes his time doing maths.

    @PriyabrataHalder@PriyabrataHalder4 жыл бұрын

    • Was about to comment something like this😂

      @paglobal@paglobal3 жыл бұрын

    • I don't get it. Yes I'm not the sharpest tool in the shed

      @user-ov2fc5sd1e@user-ov2fc5sd1e3 жыл бұрын

    • @@user-ov2fc5sd1e henry cavil plays superman in the dceu

      @examination4088@examination40883 жыл бұрын

    • @@user-ov2fc5sd1e The Big Mass?

      @the4spaceconstantstetraqua886@the4spaceconstantstetraqua8863 жыл бұрын

    • @@user-ov2fc5sd1e the youtuber says henry cavil lol henry cavil is the actor name for superman movie

      @dulearning8256@dulearning82563 жыл бұрын

  • My 10 year old son showed me this video. It stunned both of us.

    @hanh3000@hanh3000Ай бұрын

  • This is amazing, physics teachers never taught this, and everything we learned was designed to solve problems, from conservation of momentum to conservation of mechanical energy, and we even came to a conclusion E（lose）=1/2 (M1•M2)/(M1+M2) • V（relative） how fascinating physics is now

    @howdareyou-cs4qn@howdareyou-cs4qn3 ай бұрын

  • Woah. Freaking woah.

    @iammrbeat@iammrbeat4 жыл бұрын

    • @Laquelectro woah

      @aidenmcubing@aidenmcubing3 жыл бұрын

    • s

      @sunitakrishna3864@sunitakrishna38643 жыл бұрын

    • mr beast give me moners

      @ignacio6851@ignacio68513 жыл бұрын

    • @@ignacio6851 this is not Mr Beast, but Mr Beat. Instead of giving you money he gives you a beat down

      @fakeuber8254@fakeuber82543 жыл бұрын

    • Mr Beat on a 3b1b vid? Worlds are colliding

      @osirisapex7483@osirisapex74833 жыл бұрын

  • What the what!!!!! That's so cool

    @BobbyDukeArts@BobbyDukeArts3 жыл бұрын

    • Wow I didn’t know you were interested in this kind of stuff!

      @godchild7545@godchild75453 жыл бұрын

    • Yo big fan dude keep it up

      @damianh.1429@damianh.14293 жыл бұрын

    • Fancy meeting you here, woodsman.

      @colewilkie@colewilkie2 жыл бұрын

    • What the what

      @lasmalux@lasmalux2 жыл бұрын

    • wood

      @xilnoi@xilnoi2 жыл бұрын

  • Thanks for the video. Enjoyed it.

    @ChandrasegaranNarasimhan@ChandrasegaranNarasimhan22 күн бұрын

  • i dont know how but this guy makes math actually interesting

    @retrotech383@retrotech383 Жыл бұрын

  • 2:03 when you approach the forgotten sandwich in your school with a radiation detector in your hand

    @jonasmarcell@jonasmarcell5 жыл бұрын

    • Ahaha good comment

      @hyperplayer22@hyperplayer224 жыл бұрын

    • You diserve more likes on that

      @craiglee6461@craiglee64614 жыл бұрын

    • You diserve more likes on that

      @craiglee6461@craiglee64614 жыл бұрын

    • deserve?

      @uxleumas@uxleumas4 жыл бұрын

    • Why do you put your nose in your hand ? ;)

      @nod_jawk@nod_jawk3 жыл бұрын

  • me: **moving frame by frame at **2:29** and seeing 59 instantly become 313,979** **doing the same for **3:12** and seeing 941 become 314,159,265,136** this looks so fast... gotta know how fast it was...

    @GoldenGamerFox7272fromYT@GoldenGamerFox7272fromYT4 жыл бұрын

    • So true. I wanna know too. I could not even pause it between 100 and 3 hundred trillion

      @AspectOfTheBlade@AspectOfTheBlade3 жыл бұрын

    • @@AspectOfTheBlade He literally said the rate in the video.

      @marzipug5439@marzipug54393 жыл бұрын

    • literally did the same thing bruh

      @xxromerocksxx2889@xxromerocksxx28893 жыл бұрын

    • @Fernando García salazar i already knew that

      @GoldenGamerFox7272fromYT@GoldenGamerFox7272fromYT3 жыл бұрын

    • Unfortunately it will be faster than the frame rate of the video. You would need a 314 million fps youtube viewer

      @BritishEngineer@BritishEngineer2 жыл бұрын

  • "Sailing off into infinity never to be touched again" I felt that.

    @Lefty7788tinkatolli@Lefty7788tinkatolli5 ай бұрын

  • 0:19 Love the spherical cow animation btw.

    @timwhite1783@timwhite1783 Жыл бұрын

  • 3:56 me after watching this video....

    @PhoenixLive_YT@PhoenixLive_YT5 жыл бұрын

    • YEAH PHOENIX

      @pi2590@pi25906 ай бұрын

  • 3Blue1Brown: "We have 2 sliding blocks and a wall" Me: "I'm sorry could you repeat that, I'm already lost."

    @dustinsanders5780@dustinsanders57804 жыл бұрын

  • This channel should be called: 3.142 Blue 1 Brown

    @Mark-jt5cs@Mark-jt5cs5 ай бұрын

  • Her:you have a bad day? Guy;yeah Her:*gulp gulp gulp*

    @Lancejacobcvillanueva@LancejacobcvillanuevaАй бұрын

  • 3:43 The sound of my brain figuring out the puzzle.

    @somebodylikesbacon1960@somebodylikesbacon19605 жыл бұрын

    • 100,000,000,000_000,000,000_000,000,000_000,000,000 (10^38) (100 tripodecillion)

      @RPDC-ng8ej@RPDC-ng8ej3 жыл бұрын

  • 3B1B's homework best homework

    @iwillspam5985@iwillspam59855 жыл бұрын

    • The next day... Math teacher: Have you done your homework for today? Me: No, but I know why if you shoot a moving object to a still one with a mass ratio of 10^k under no friction conditions you get the digits of pi!

      @alessandroceloria4573@alessandroceloria45735 жыл бұрын

    • I know, I'm gonna do this instead of my actual homework

      @avgchz9444@avgchz94445 жыл бұрын

  • Random number: hi pi. How have you been Pi showing up in the video: I don't know *I just got here*

    @solitude2642@solitude264210 ай бұрын

  • 1:38 open the 0.25x speed

    @ngyanloongmoe1305@ngyanloongmoe130511 ай бұрын

    • Nice

      @kgsr_x2@kgsr_x211 ай бұрын

  • Solved :D The circle in question is a circle in the momentum phase space. Specifically say m2 is the heavier block, if you rescale the momentum variable p1 and p2 by sqrt{m}, then you have a very nice circle equation. The entire process amounts to turning by angle pi from the point (p1,p2)=(0,1) to (0,-1) so that the heavier block is reflected. Every collision between the two blocks can be written down as a mapping between points on the circle in the phase space(ie old momentum determining new momentum completely, while obeying energy conservation so staying on the circle). Every collision at the wall serves to reflect the point about the p2 axis so that the direction of p1 is flipped. Every step leaves a point on the circle, and each point corresponds to a click sound. So the total number of points on the circle(minus the starting point) is the same as the total number of clicks heard. Since all collisions between two blocks is followed by a collision at the wall, we can consider these two events forming a single step. It turns out that as the ratio r=m1/m2 gets smaller, this step approaches an infinitesimal rotation generator, with each step’s rotation angle being 2sqrt{r}. If we let k to be the number of rotation steps to execute the full pi angle rotation from (1,0) to (0,1), then 2sqrt{r}=\pi/k, or 2k=\pi/\sqrt{r}. We identify 2k as the total number of points on the circle(involving both the rotation and the reflection, thats why there’s a factor of 2), then if sqrt{r} is 10^-2n, we have 2k=\pi * 10^n, which is exactly what we have. The only thing left is the round off but I need my beauty sleep now XD. Can’t wait to see Grant’s solution and animations! :D

    @lezhilo772@lezhilo7725 жыл бұрын

    • That would only be the case if the sum of the squares of the momenta (p1^2 + p2^2) is conserved, which is not the case. Conservation of energy demands that p1^2/m1 + p2^2/m2 is conserved, which is the same as what you tried only if the masses are equal

      @coconutflour9868@coconutflour98685 жыл бұрын

    • Energy is also conserved here

      @sauravchauhan4172@sauravchauhan41725 жыл бұрын

    • @@sauravchauhan4172 How so?

      @coconutflour9868@coconutflour98685 жыл бұрын

    • @@coconutflour9868 he said that in the video too , energy is also conserved , and I think circle is not the solution, it can be an ellipse also. Maybe wrong

      @sauravchauhan4172@sauravchauhan41725 жыл бұрын

    • @@coconutflour9868 I rescaled the momentum variable by 1/sqrt(m). That means given old p^2/m, I define P=p/sqrt{m}. The conservation of energy equation p1^2/m1+p2^2/m2=E then becomes P1^2+P2^2=E. If we use the rescaled momentum variables as the axis of the phase space, then states of constant energy form a circle.

      @lezhilo772@lezhilo7725 жыл бұрын

  • It's midterm and I'm sending this puzzle to everyone in my class to distract them from exam revision. Ha.

    @skyhui3412@skyhui34125 жыл бұрын

    • well I have midterms and this falls quite nicely with the subject so who's laughing now!

      @diegosanchez894@diegosanchez8945 жыл бұрын

    • Gotta get a jump on that curve!

      @operator8014@operator80145 жыл бұрын

    • @@diegosanchez894 good for you but I'm just a junior-highschooler and it isn't gonna be very helpful to those poor fellas lol

      @skyhui3412@skyhui34125 жыл бұрын

    • @@skyhui3412 if you're planning on doing a stem degree later on it will be useful.

      @diegosanchez894@diegosanchez8945 жыл бұрын

    • @@diegosanchez894 yeah of course for the long-term, but for the short-term it may not be a good idea to try solving a math problem before the geography exam

      @skyhui3412@skyhui34125 жыл бұрын

  • something about the collision sound is so satisfying

    @theNatura1_@theNatura1_8 ай бұрын

  • Pi is that one mf who shows up everywhere for no reason

    @kilsjw@kilsjw6 ай бұрын

  • Pure poetry! ❤️

    @MatematicaRio@MatematicaRio4 жыл бұрын

    • How has noone noticed you lol?

      @ChaosAtlantis33@ChaosAtlantis333 жыл бұрын

    • Olha, brasileiro na área

      @jonathasdavid9902@jonathasdavid99023 жыл бұрын

    • O RAFAEL

      @jgperes@jgperes3 жыл бұрын

    • Krlh a lenda aqui.

      @redswordcalice235@redswordcalice2353 жыл бұрын

    • yo

      @nikhilnagaria2672@nikhilnagaria26722 жыл бұрын

  • I was watching this from the preview, and I would swear the counter of "314 clacks" hit exactly at 3:14 left in the video. Well done.

    @kauboy9816@kauboy98164 жыл бұрын

    • @@RIPToot it was, it says 3:14 *left*

      @h3xty@h3xty4 жыл бұрын

    • This channel is of suprahuman intelligence

      @DavidG2P@DavidG2P4 жыл бұрын

    • At 1:58 if youre curious

      @ojasvikamra6835@ojasvikamra68354 жыл бұрын

  • The sounds of the blocks clacking at high speeds sounds like progressively squeezing an alien more each time

    @GrooveStorm15@GrooveStorm1511 ай бұрын

  • i have rewatched this at least 10 times, still entertained

    @skilzrus8965@skilzrus896510 ай бұрын

  • Let’s give a moment of silence to the blocks that are still sliding towards infinity :

    @cr4ff9@cr4ff94 жыл бұрын

    • They are us

      @mmmDaber@mmmDaber3 жыл бұрын

    • @@mmmDaber that explains the endless abyss dragging me away from a white wall

      @sparecreeper1580@sparecreeper15803 жыл бұрын

    • @@mmmDaber Still waiting for my first collision in this middle of the abyss

      @Scrubique@Scrubique3 жыл бұрын

    • Now the real question is: If the blocks are moving at a constant pace along an infinite path for an infinite amount of time, how many infinities would it take for the blocks to reach the end of the infinite path?

      @DJB3lfry@DJB3lfry3 жыл бұрын

    • @@DJB3lfry end and infinite are not looking fine in the same sentence haha

      @hadisakho848@hadisakho8483 жыл бұрын

  • So, Superman shared this with you? 🤯 Then this is actual kryptonian knowledge

    @an9em0n@an9em0n3 жыл бұрын

    • I'm surprised more people aren't talking about this.

      @micahbradford2629@micahbradford26292 жыл бұрын

    • @@micahbradford2629 i know right?

      @richiegibbons7103@richiegibbons71032 жыл бұрын

  • The transient of any natural movement will be e^n where n is x*jw, which is a frequency. Then, any natural movement has “e” implied and a natural oscillation associated. We know from Euler that there is a relationship between e and Pi. Great video 👏

    @ivancarrascoq@ivancarrascoq10 ай бұрын

  • Math proffesors: randomly studying Pi whenever something new is being found: bonjourno

    @doruktasbasan1559@doruktasbasan15599 ай бұрын
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