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

@mikeymcmikeface5599

5 жыл бұрын

lol

@fifofuko1864

5 жыл бұрын

Alem adamsın

@ViratKohli-jj3wj

5 жыл бұрын

Lmfao😂😂😂

@diogoandre756

4 жыл бұрын

lol

@theoanthony1901

4 жыл бұрын

Probably a computer can do this simulation and count the clacks

Pi has no business showing up literally everywhere in math.

@onebeets

3 жыл бұрын

Wait, it's all pi?

@gruncho8227

3 жыл бұрын

@@onebeets always has been...

@bignicebear2428

3 жыл бұрын

What goes around comes around and voila: pi.

@Saturnares

3 жыл бұрын

Nobody expects the Pi inquisition!

@dathaniel9403

2 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.

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.

@redelf8052

27 күн бұрын

same

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.

@JeffMTX

Жыл бұрын

Now that is very very cool!

@vijayrajendran4006

Жыл бұрын

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

@Mimaloodak

Жыл бұрын

yes

@partyboy4121

Жыл бұрын

Good thinking

@markdawg

Жыл бұрын

🤓

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

@orvillevroemen3956

5 жыл бұрын

3:14 am

@jcgongavoe337

5 жыл бұрын

PRODUCES SLAP BASS MELODIES，SO TRUE

@appiusssss

5 жыл бұрын

hahahahah

@rolanddogna921

5 жыл бұрын

@@orvillevroemen3956 3:14

@colinjava8447

4 жыл бұрын

Sounds like a sound effect on a zx spectrum game

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

@midlanismail416

3 жыл бұрын

Don't you mean clack

@pixelartkid7965

3 жыл бұрын

@@midlanismail416 in the 100000kg one it went brrrrrr

@aa01blue38

3 жыл бұрын

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

@thelukedankwalker

3 жыл бұрын

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

@jamesorendorff2284

3 жыл бұрын

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

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!

@user-rc1mv2zy3r

Ай бұрын

🤓🤓🤓

@hotpockets1417

Ай бұрын

@@user-rc1mv2zy3r thanks :)

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!

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"

@RubyPiec

5 жыл бұрын

3.1415926535897932 There take that

@mediding7001

5 жыл бұрын

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

@mikeymcmikeface5599

5 жыл бұрын

I demand immediate satisfaction!

@chikoroblox9734

5 жыл бұрын

I baked you a pie

@skyspects1211

5 жыл бұрын

Damn, this made my day! 😂😂😂

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

@chobyriley417

5 жыл бұрын

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

@NickiRusin

5 жыл бұрын

that's a great image

@Selicre

5 жыл бұрын

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

@NickiRusin

5 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.

@AlRoderick

5 жыл бұрын

ASSUME THE SPHERICAL COW!

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

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

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

@ariqahmer5188

5 жыл бұрын

Make that in concurrent parallel dimensions 😉

@jacobkleeman8546

5 жыл бұрын

Even the fourth?

@ganaraminukshuk0

5 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.

@papi1050

5 жыл бұрын

@@ariqahmer5188 we need to talk about parallel universes

@ariqahmer5188

5 жыл бұрын

@@papi1050 Agreed 🤔😎😍

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

@SpaceSeal64

3 жыл бұрын

this is probably like my 6th time

@andy-kg5fb

3 жыл бұрын

Its my 5th time

@boldizsarfiser9894

3 жыл бұрын

its my 4th time

@Game_Sometimes

2 жыл бұрын

This is my 12th time…

@seanjericdioquino197

2 жыл бұрын

Ah yes.. 𝗥𝗲𝗹𝗮𝘁𝗮𝗯𝗹𝗲.

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

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

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

@andrewzhang8512

2 жыл бұрын

*kavle

@mono6359

2 жыл бұрын

@@andrewzhang8512 guess who didn't get the joke

@andrewzhang8512

2 жыл бұрын

@@mono6359 ohhhhhhhhhhhhhhhhhhhhhhhhhh mb

@hansondesa188

2 жыл бұрын

Lol

@watlehbillidijedhik

9 ай бұрын

Silver for physics, steel for maths

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

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.

@vijayrajendran4006

Жыл бұрын

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

Clack.

@AmadeuShinChan

4 жыл бұрын

[ I donot know. Let us ask someone. ]

@finalftl732

4 жыл бұрын

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

@Torthrodhel

4 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.

@alexniggins1799

4 жыл бұрын

MrBeast can, ofc.

@danielreed540

4 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.

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

@froggymine5003

5 жыл бұрын

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

@torezcoasters6043

4 жыл бұрын

Don’t forget about removing friction!

3Blue1Brown never fails to make me question reality!

something about the collision sound is so satisfying

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.

@marcgonzalez5628

Жыл бұрын

Watch it again

@mrsaussissonsec1054

Жыл бұрын

@@marcgonzalez5628 aight

@Adarsh_amd

10 ай бұрын

again

@destroyer100onblitz

10 ай бұрын

Again

@mrsaussissonsec1054

10 ай бұрын

@@destroyer100onblitz ayo it's only been 4 days

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

@Kido336

4 жыл бұрын

*adding sad comment about you and your ex

@ah2522

4 жыл бұрын

my dad's hand and my crtoch

@noddye1764

4 жыл бұрын

r/cursed comments

@tarzbaow

4 жыл бұрын

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

@maxtreme2901

4 жыл бұрын

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

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

2 жыл бұрын

salute

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

WOW!!

@herlock2

5 жыл бұрын

Well hello there :)

@giladu.6551

5 жыл бұрын

Hi BPRP! Love your videos

@wontpower

5 жыл бұрын

Isn’t it?

@yash5879

5 жыл бұрын

Congrats for the 200k man 1/1-x

@blackpenredpen

5 жыл бұрын

me thank you!!!!

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

@HauntaskhanHYPNOSIS

5 жыл бұрын

LUL

@kasperjoonatan6014

5 жыл бұрын

But Gregory Galperin is the real Superman here ❣

@MrAB2357

5 жыл бұрын

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

@duckymomo7935

5 жыл бұрын

Is it really the same person ie superman?

@thanostitan.infinity

5 жыл бұрын

True LMAO

1:38 open the 0.25x speed

@kgsr_x2

11 ай бұрын

Nice

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

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.

@anselmschueler

5 жыл бұрын

cool

@dxrpz1669

5 жыл бұрын

Hi (sorry for my bad english)

@IQuickscopeCA

5 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

@EnglishNijisanji

5 жыл бұрын

Blakee Yes, I believe math is beautiful and also amazing

@ARlELATOM

5 жыл бұрын

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

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

@different_stuff

4 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.

@fordsquared537

4 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

@georgiykireev9678

4 жыл бұрын

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

@infintiyward

4 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.

@josephnimal953

4 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.

saw the short. found the original video. nice!

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_

@shadesmarerik4112

3 жыл бұрын

cowsphere is one word actually

@alx-lm3kg

2 жыл бұрын

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

@jasongusta7419

2 жыл бұрын

did he stutter 3blue?

@maxnolife_

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

@IanBLacy

10 ай бұрын

“Assume a spherical cow in a vacuum”

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.

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

@o_o............

2 жыл бұрын

The ideal cow takes the cake for me

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

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

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?

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

@ParthKohli

5 жыл бұрын

We feel the same way about you. :)

@SheikhEddy

5 жыл бұрын

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

@PhysicsMath

5 жыл бұрын

I am also making video on physics

@FacultyofKhan

5 жыл бұрын

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

@vikranttyagiRN

5 жыл бұрын

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

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

@EntergeticalakaBot

2 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

2 жыл бұрын

@DON'T I WONT 😶

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

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 👏

1:40 what a cool sound effect

@hishykot

3 жыл бұрын

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

@uvuvwevwevweonyetenyevweug6314

3 жыл бұрын

Sounds like a radio

@Geotrax2

Жыл бұрын

the beginning sounds like a geiger counter

@megaman4354

Жыл бұрын

sounds like a creaking door

@_._---.

9 ай бұрын

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

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

@IAmNotASandwich453

4 жыл бұрын

Exactly what I was thinking 😂

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

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

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

@TechSupportDave

4 жыл бұрын

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

@hiransarkar1236

4 жыл бұрын

The time he took to count the no. of collisions

@Proccito

4 жыл бұрын

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

@matejpesl6442

4 жыл бұрын

Xd

@derwastl

Жыл бұрын

no

What the what!!!!! That's so cool

@godchild7545

2 жыл бұрын

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

@damianh.1429

2 жыл бұрын

Yo big fan dude keep it up

@colewilkie

2 жыл бұрын

Fancy meeting you here, woodsman.

@lasmalux

2 жыл бұрын

What the what

@xilnoi

2 жыл бұрын

wood

All thanks to Greg.

This is a good quote

Pure poetry! ❤️

@ChaosAtlantis33

3 жыл бұрын

How has noone noticed you lol?

@jonathasdavid9902

3 жыл бұрын

Olha, brasileiro na área

@jgperes

3 жыл бұрын

O RAFAEL

@redswordcalice235

3 жыл бұрын

Krlh a lenda aqui.

@nikhilnagaria2672

2 жыл бұрын

yo

1:34 The sound is perfect

@Caterblock

3 жыл бұрын

134 rearranged is 314

@devsus

10 ай бұрын

bambi fantrack

@user-ke7ki6mx2z

2 ай бұрын

Duck

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

This was very calming and i dont know why

Ah so 3blue1brown is blueballing me. Figures 😂

@dreamer097

5 жыл бұрын

you mean 3blue1brownballing you..?

@GewelReal

5 жыл бұрын

3blueballing

@lankymcgainsplease1236

5 жыл бұрын

Would you rather they brown balled you?

@PrincessEev

5 жыл бұрын

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

@aidanroberjot7469

5 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

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

@guilhermegondin151

5 жыл бұрын

I would give another 💯 for the colision sound kkkkk

@enverko

5 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!

@Shubham-qk8fw

5 жыл бұрын

@@guilhermegondin151 true, how could I forget that?

@Shubham-qk8fw

5 жыл бұрын

@@enverko Yaa you are absolutely right

@totoxahc

5 жыл бұрын

Date format - 0

This is so satisfying, better than most asmr 💀💀💀

1:40 Me farting in school be like

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

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.

@oblivion2755

4 жыл бұрын

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

@iqbaltrojan

4 жыл бұрын

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

@thewall4069

4 жыл бұрын

@@iqbaltrojan oh the irony

@notyepdranel961

4 жыл бұрын

@@oblivion2755 *4* is the worst

@akasakasvault7597

4 жыл бұрын

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

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

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

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!

Woah. Freaking woah.

@aidenmcubing

3 жыл бұрын

@Laquelectro woah

@sunitakrishna3864

3 жыл бұрын

s

@ignacio6851

3 жыл бұрын

mr beast give me moners

@fakeuber8254

3 жыл бұрын

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

@osirisapex7483

3 жыл бұрын

Mr Beat on a 3b1b vid? Worlds are colliding

3 years after this video is published, I discovered something(not sure if anyone found this out before) I think the number of collisions =Pi*sqrt(ratio of the mass of the block on the left to that on the right)

The fact that the blocks made a realistic electric guitar chord is mind-blowing

Wrong The 100²⁰ would have destroyed our slippery floor

@carltonblend

5 жыл бұрын

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

@afoxwithahat7846

5 жыл бұрын

@@carltonblend And eats the Tinny cube

@thfFromRussia

4 жыл бұрын

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

@Voidmoth1

4 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

@asfi637

4 жыл бұрын

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

Everybody gangsta till the blocks start pullin’ out autotune

@intravine

3 жыл бұрын

supertone lol

I was with you until you mentioned the Black Hole lol. Yet; as someone who was not taught math in a fun way, I'm very grateful to you for creating this channel. Thank you! ✖➕➖➗〰🟥🔶❇🔘💜

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

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.

@h3xty

4 жыл бұрын

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

@DavidG2P

4 жыл бұрын

This channel is of suprahuman intelligence

@ojasvikamra6835

4 жыл бұрын

At 1:58 if youre curious

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

@batzal9459

4 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!!"

@full5339

4 жыл бұрын

It will become part of it.

@full5339

4 жыл бұрын

Imagine gravity.

@full5339

4 жыл бұрын

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

@oliverholm3973

4 жыл бұрын

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

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

Thanks for the video. Enjoyed it.

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...

@AspectOfTheBlade

3 жыл бұрын

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

@marzipug5439

3 жыл бұрын

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

@xxromerocksxx2889

3 жыл бұрын

literally did the same thing bruh

@GoldenGamerFox7272fromYT

3 жыл бұрын

@Fernando García salazar i already knew that

@Britishfurryrectifiersucker

2 жыл бұрын

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

As a 6th grader, I don't understand the terms you use in your video but I so much hope to learn them throughout my coming years. I find your videos very intriguing, keep up the amazing work!

@PritamDavis

Жыл бұрын

Keep being curious bro😎🔥

@e2532e

Жыл бұрын

@@PritamDavis until being killed by the education system of the country

@PritamDavis

Жыл бұрын

@@e2532e agreed bro.. it really sucks at times

@rajan8516

Жыл бұрын

@@e2532e well 😔

@silverseacow

Жыл бұрын

@@PritamDavis im 7th grade rn

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

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

3B1B's homework best homework

@alessandroceloria4573

5 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!

@avgchz9444

5 жыл бұрын

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

2:30 when superman passes his time doing maths.

@paglobal

3 жыл бұрын

Was about to comment something like this😂

@user-ov2fc5sd1e

3 жыл бұрын

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

@examination4088

3 жыл бұрын

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

@the4spaceconstantstetraqua886

3 жыл бұрын

@@user-ov2fc5sd1e The Big Mass?

@dulearning8256

3 жыл бұрын

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

i dont know how but this guy makes math actually interesting

i have rewatched this at least 10 times, still entertained

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

@pi2590

6 ай бұрын

YEAH PHOENIX

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

@coconutflour9868

5 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

@sauravchauhan4172

5 жыл бұрын

Energy is also conserved here

@coconutflour9868

5 жыл бұрын

@@sauravchauhan4172 How so?

@sauravchauhan4172

5 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

@lezhilo772

5 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.

0:19 Love the spherical cow animation btw.

This is so cool bro I am amazed by this

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

I just wanted to say thank you for all of your work. This is brilliant. I think if more people watched your videos, we'd have a better world overall.

1:41 was a literal door frame

every now and then, this video comes to my feed, and i watch it just for the sound

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

@blazeguruz8989

4 жыл бұрын

did you just farted

@oblivion2755

4 жыл бұрын

@@blazeguruz8989 have you did farted?

@Ixions

4 жыл бұрын

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

@cubeofmeat4982

4 жыл бұрын

Who tf farts like that

@craetydonutkey1348

3 жыл бұрын

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

It comforts me that there is this abstract, interesting, mathematical world full of independent truth, no matter how dire our situation in the real world may be. A sacred place.

@hhoopplaa

3 жыл бұрын

@Ron I'm assuming he means its mathematical parts of it. In reality, there would (probably) be also physics and biology and stuff, ...right? Honestly this sounds very philosophical.

It's not enough to ignore friction and energy loss of collision. At point gravity starts to show its influence on results, and I am pretty sure there will be no more than 1 collision with the supermassive black hole object. So the round cow disclaimer should have mentioned the the gravity as well

3:56 why did this make me love the whole video

Perhaps you could set up analogous situations for any other base: 0. You have two blocks with masses of 1 and b^2^(d-1), where b is the base of the number system and d is the number of digits in that base you want to compute. 1. Count the number of collisions in that base. 2. You now have an approximation of pi*b^(d-1) in that base.

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

Me trying to get a drink of water in the middle of the night The floor: 1:41

i think my intuitive, albeit incomplete, answer would be this. we know energy is conserved. as the smaller block bounces back and forth between the larger block and the wall, this stops once the larger block has a velocity to the right relative to the smaller block, even after the smaller block bounces off the wall. as the mass of the larger block gets super large compared to the smaller block, the smaller block can only take/give very small amounts of energy of the larger block with each collision, so the speed of the larger block changes very slightly with each collision. because of this, the moment when the larger block is moving to the right faster than the smaller block, their speeds will be roughly equal with the larger one's slightly larger than the smaller one's. because energy is conserved and the energies are determined by the squares of the velocities, the velocities determine an ellipse. if we imagine the x axis is the velocity of the bigger block and the y axis is the velocity of the smaller block, we start at the positive x axis, and then with each collision, we bounce up and down along the ellipse but going slowly to the left. because the speeds are roughly equal when the bouncing stops as mentioned above, if we scale the y axis down by the square root of the ratio of the masses, we get a circle, and since the ratio of the masses is very close to zero, the y axis coordinate must be close to zero, so we must end up very close to the negative x axis. that is to say, as the ratio of the masses goes to zero, we visit more and more points of such a circle, so we somehow count pi.