The most unexpected answer to a counting puzzle
The most unexpected answer to a counting puzzle

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If this doesn't blow your mind, I don't know what will. Part 2: https://youtu.be/jsYwFizhncE Part 3: https://youtu.be/brU5yLm9DZM Brought to you by you: http://3b1b.co/clacks-thanks Stick around, explore the channel, and if you like what you see go give an impassioned math lesson to a friend. NY Times blog post about this problem: https://wordplay.blogs.nytimes.com/2014/03/10/pi/ The original paper by Gregory Galperin: https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf Evidently, Numberphile also described this problem (I had not known): https://youtu.be/abv4Fz7oNr0 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. ------------------ These animations are largely made using manim, a scrappy open source python library: https://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: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u 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 YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown

Comments

poop catapult : 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"

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

Alexander Garcia : I do t care about the math. I care about the sound of a 100,000,000,000,000,000,000kg cube.

J G : Actually, there have only been about 50 views. The other 539,542 were me.

Elecrowiz GT : Wrong The 100²⁰ would have destroyed our slippery floor

!!コメントだけで登録者10万人を目指す : 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.

Alvin TOS : 2:23 Henry Cavill??? That Henry Cavilll??? Well, that's certainly a superhumanly recommendation!

Fishtard : purpose of this video: hey everyone someone discovered this really cool thing about blocks colliding and the number pi and it's digits! comment section: OMG THE CLICK SOUNDS WHEN THEY COLLIDE SOUND COOL

Rufus Greenleaf : I'm not really following the science behind this i'm just here for the satisfying *clack* sounds.

Evolve Some Pie : take a stab at it yourself? ...bruh pls. my cat has a better chance of figuring this out than I do

Paul Dacus : 2:31 apparently Superman has a lot of downtime now that the Justice League cinematic universe is dead

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

Wadrel : Both the blocks will collide on the wall right????

Sean Lee : 3:43 If your Geiger counter makes this sound, go see a doctor

Der Mit Den Fröschen Laicht : That sort of blew my mind...

alex power : @ 2:32 Henry Cavill aka Superman pointed this out. No big surprise 3b1b knows superman

The Rest Of Us : Highest quality Youtuber out there. And I mean that in every dimension.

Albertin : Here's a fun question: How do you place a block on a completely frictionless surface in such a way that the block's velocity is 0 after being placed?

Pro Gamer : Am I the only one who finds his really satisfying to watch?

FlechaJRG : Me: *hears "Sagitarius A"; says "OH MY GOD", laughing; presses the "like" icon*.

H.J. K : Unbelievable.. beautiful results! Thank you for uploading these kinda videos!

Feynstein 100 : Ah so 3blue1brown is blueballing me. Figures 😂

Pierre C. : 2:34 "Originally discovered in 1995 (...) and published in 2003" Man, why did it take so long? (not being sarcastic. I am really curious as to why it took so long!)

insidetrip101 : I actually prefer not to think of there being "hidden circles" when pi "pops up." I prefer to think of pi as being indicative of some sort of fundamental periodicity, of which the circle is the natural geometric extension of that periodicity. Maybe I'm full of shit though.

Ben Plays : Wooow... WOOOOOOW.... Thx for the video dude amazing M A T H

Deedit : We have to simulate your experiment as Homework in our prgramming class. Thanks for making homework more enjoyable <3

XxJoe1101xX : That "clack" sound you added is apparently ASMR to my ears, so it's very appreciated.

Archie Chocolate : "Credit to the viewer Henry Cavill for introducing me to this fact." Wait... isn't Henry Cavill the actor of Superman?

HZ. TYMOFEI : Its really interesting but i cant get it whats main idea and logic behind this?pi and dynamics? Can someone explain

Jade Briones : Only reason i watched is for clacks

paul van gastel : You're a genius. Let me specify: you're very good at maths and physics, and you're a genius in communicating the beauty and fun of both to a wide audience.

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

John Doe : @3Blue1Brown would you kindly post the clacking sound track without voice over? It's, uh, suprisingly pleasant

Crylines Gaming : thats what we have to do, just like Tesla said: The day science begins to study non-physical phenomena, it will make more progress in one decade than in all the previous centuries of its existence.

Thanakrit Fa-e-din : AMAZING! I can't wait the next video anymore.

RewardingGrin : Hearing the amount of clacks it gets up to is oddly satisfying.

Arjun U S : It's really cool, waiting for solution😀

Qvertys AMV : Seems like it's asmr vid to me **Clack** **Clack**

Tyler Duggan : 1:42 sounds like someone is having a bad day on the toilet.

Aryan Mishra : Who found that slowmo satisfying

John Faria : Wait! Why is it with numbers to the power of 10? Edit: after doing some calculations I found that if you use powers of 2 (I’ve been doing a lot of work in binary recently) then you WILL get pi, but it will just be in binary

Huixtocihuatl : Great video but please do ASMR block clack

Venom Supreme : Is anyone else thinking of this in the context of a unified theory on quantum mechanics and general relativity? No? Just me? Okay, well that might be why we haven’t solved it.

snouty snouterson : First time watching one of your video's, loved it! Subscribed.

Eddy Forero : 2:31 Of course, only superman can know this stuff.

1 : well this was unexpected

Indomat64 : Small brain: Memorizing digits of pi Galaxy brain: Having blocks of precise mass on hand and counting the collisions

Jaana EnKerro : This was shown in math class in Finland:3 The teachers were impressed and students laughing at the hundreds and thousands of collisions:)

Shailik Roy : The most beautiful and amazing appearance of π in Mechanics...from simple collisions to a brainstorming puzzle as to why π comes.... Anyways i love 😍 the animations of 3blue1brown as they help me visualise some of the very difficult concepts and puzzles. Keep up the great work 👍