# The Discovery That Transformed Pi

For thousands of years, mathematicians were calculating Pi the obvious but numerically inefficient way. Then Newton came along and changed the game. This video is sponsored by Brilliant. The first 314 people to sign up via brilliant.org/veritasium get 20% off a yearly subscription.

Happy Pi Day! (for a few days ago...)

References:

Arndt, J., & Haenel, C. (2001). Pi-unleashed. Springer Science & Business Media - ve42.co/Arndt2001

Dunham, W. (1990). Journey through genius: The great theorems of mathematics. Wiley - ve42.co/Dunham1990

Borwein, J. M. (2014). The Life of π: From Archimedes to ENIAC and Beyond. In From Alexandria, Through Baghdad (pp. 531-561). Springer, Berlin, Heidelberg - ve42.co/Borwein2012

Special thanks to Alex Kontorovich, Professor of Mathematics at Rutgers University, and Distinguished Visiting Professor for the Public Dissemination of Mathematics National Museum of Mathematics MoMath for being part of this Pi Day video.

Special thanks to Patreon supporters: Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Lyvann Ferrusca, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

Written by Derek Muller and Alex Kontorovich

Animation by Ivan Tello

Filmed by Derek Muller and Raquel Nuno

Edited by Derek Muller

Music by Jonny Hyman and Petr Lebedev

Additional Music from epidemicsound.com "Particle Emission", "Into the Forest", "Stavselet", "Face of the Earth", "Firefly in a Fairytale"

Thumbnail by Gianmarco Malandra and Karri Denise

Komentari

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JD - RoBeatsPrije 35 minuta

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Sedi3DPrije sat

4D cubes are *_hypercubes_*

Huge weenerPrije 2 sati

Newton was very likely autistic

Jordan SmithPrije 2 sati

so he is just wasting pizza crust come on man

Florian MayerPrije 3 sati

The volume of a pizza with radius 'z' and height 'a' can be calculated with pi*z*z*a

T TPrije 3 sati

Newton really was a gangsta. No wonder Neil DeGrasse Tyson loves him. Dude’s intelligence is unbelievable.

Science SIPrije 4 sati

Its like the video is telling you.. do it! Just do it!!! It was rule not to do binomial theorem for negative values but he did... not to do for fractions but he did .... so u also just need to do it

Khalim BehjiaPrije 4 sati

Is there a mistake at 14:26? The integral of the x to the power of 4...

MASTER YONIKOPrije 5 sati

I can not understand a single thing

pulkit guptaPrije 6 sati

we just know so little about wonderful mathematical world if we dig deep down little bit, it become super interesting

Muhammad Zaid BilalPrije 7 sati

14:45 Look at this guy's face.

anpPrije 7 sati

absolutely excellent

Tanishq ChoudharyPrije 7 sati

13:37 magic did happen a lightning struck very close to our house lol

Tiago NunesPrije 7 sati

Pinnaple pizza, love it

Tv RepublicanaPrije 7 sati

JSS

Hakim EwoPrije 9 sati

HE'S FCKING CUTE 😍😍😍

Idiodyssey87Prije 10 sati

Name a game and Newton probably changed it. He was just that good.

J GarboPrije 10 sati

But how does it work with a hexadecimal number system?

sound wavePrije 11 sati

And then came Gauss who taught us how to properly eat a slice of pizza using his theorema egregium

Faiz nasserPrije 12 sati

Pi pie

Jeremy GallowayPrije 14 sati

Lol didn't realize he was a butterfly wall kind of guy

Jeremy GallowayPrije 14 sati

0:20 goddamn...poor pies. RIP 6x pizzas...lol. just throw em down

yShengPrije 15 sati

I'm going to hate this when I do pure mathematics in a month please kill me now

XAVIER KOK ZI QIAN MoePrije 16 sati

is one pizza 3 ? 0:33

DeadRabbitPrije 16 sati

wonder if he got to eat all that pizza after

ayush mishraPrije 16 sati

pizza wased boss

SIOW MUN HOONG MoePrije 17 sati

Yeah its cool and all, but what's the point?

Anthony CruzPrije 18 sati

The cutting off the crust triggered me

Creeper ManPrije 19 sati

when humans made a time machine: everyone:goes to meet their ancestor or fix the mistakes of the past me:kill the guy who invented math

Taoge ExpanderPrije 19 sati

Dang, this math feels illegal

Spectial AmvsPrije 20 sati

Infinite=1

Gabi The HOREPrije 20 sati

I believed that Ramanujan should have been known more for pi formula.

Jason BeamishPrije 20 sati

Humans did not invent mathematics, they discovered it and still are!

BRYAN ALEXIS MOYAPrije 21 sat

0:46 is he wasting pizza?

Magain GungadaranPrije 21 sat

No pizzas were harmed in the making of this video

TomPrije 21 sat

Mind blown

Bed SharmaPrije 22 sati

You are really great. Thank you so much for such a video. I Salute you.

Sabbir SPrije 23 sati

Pineapple pizzas? Come on bro.

Scientific ResearchPrije dan

I found one more way to find pi.... Up to 100 values just in 1 hour with Fourier...

MoonSun BumiPrije dan

If Veritasium created when I was in High school, maybe junior high school, I might be a phisicist right now..

An_ aNdPrije dan

wow lmao guys he sure knows the value of an Indians maybe not in his videos but he has given the so called shout out to our Indian mathematician and astronomer Madhava of Sangamagrama ...............they always knew how to play with Indians minds 😏 inhe kuch nehi padi hai hum indians ki hume khud se hi khud ka naam bana padega hume aapne indian mathematicians ko jada respect karna padega o to aapne hi mathematician ki gungan karenge sir sir bol kar ...............unn sab ne NASA ko izzat diya hai lakin hum aapne ISRO ki t-shirt wear karne se sarmate hai per o NASA ko aapne T-shirt per proudly dikhte hai aur bhi bhut kuch hai khine ko lakin last mein

Михаил КостюничевPrije dan

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Midi Music ForeverPrije dan

Newton was such a genius. Maybe the biggest there ever was.

Nurajannat TaslimaPrije dan

i realised in primary school i did this and i was the only person to do with in the class, and i didnt even know what i had found out

Harold L PottsPrije dan

Illusion : now you see it, now you don't. Good teaching : You did'nt see it, now you do !

Anubhav SenPrije dan

Yeah, as soon as I saw pineapple on pizza I got hella distracted.

Adrian ChandlerPrije dan

I loved every minute of this!!!

Mr. ReesePrije dan

I have done math for years in different educational institutions and I have never heard of Pascal's Triangle. WHAT THE F?? This would have made some calculations so much easier.

goartistPrije dan

and nobody mentioned that pi*z*z*a is the volume of a pizza with radius z and height a...

Miguel de la FuentePrije dan

Ludolph van ceulen, what do you do for a living? Yes.

corthewPrije dan

This is confusing. Pi is the circumference divided by diameter of circle. Why were they even looking for the value of pi if they didn't know they could just do that to start with. I see no value to the rest of the math if the thing they were looking for was right there in the thing they were looking at.

corthewPrije 2 sati

@Lünkel But the answer to the circumference divided by the diameter of the universe, (assuming the universe were perfectly round), would be the same as that calculation for a pizza. As for accuracy you'd get as many digits as you cared to calculate, dependent of course on the accuracy of your measuring devices. Its simple division. Now...If you require a measurement of the universe to the width of an atom of hydrogen, that's never going to happen and no amount of math will ever get it for you. Its just a strange way to go about simplifying an equation...when the equation is a/b=c...and its right in front of you.

LünkelPrije 19 sati

@corthew How would you get the value from that alone? Get a big circle and measure both things? Famously you'd only get around 40 digits of accuracy if you measured the entire observable universe to the width of a hydrogen atom. That's it. And the point of the video is not just "we can now calculate π easily", but rather the beautiful mathematical insights along the way.

corthewPrije dan

@Lünkel How does dividing the circumference by the diameter not give you its value. Killarun's answer was probably more spot-on, but it wasn't that my brain was turned off...It was that I was bored with all the unnecessary calculations to solve such a simple equation...so I skipped through the video. ;)

LünkelPrije dan

They know what π is. That definition doesn't just tell you its value though. And that's what they were trying to calculate.

Killarun4Prije dan

they literally said that all past mathematicians did these calculation just to flex their mathematical power. lol watch the video again with your brain turned on

METRIXTUDIO unitedPrije dan

Just eat that pizza maaan

Patricio PinoargotePrije dan

The sloppy walk acromegaly decide because price inspiringly rain with a sloppy zoo. knowledgeable, thankful decade

diyago silvaPrije dan

The far dust inexplicably scatter because crown preauricularly disappear modulo a plain square. salty, unnatural port

Lucas DelatePrije dan

Newton Speed-runing Pi and Pi with pizzas, this is a master piece already

muhammad abdullahPrije 2 dana

All because of Newton our physics books are triple the size then what they should have been

AJPrije 2 dana

Just watched Carl Sagan explain how Eratosthenes worked out the earth was round and now this video on pi. My Mind is expanded for the night well and truly!

cleric danPrije 2 dana

this video makes me hungry

Hywel PricePrije 2 dana

is it my mistake, or is there a error on the inscription shown at 4.47. The fifth digit given for pi is a 3 rather than a 5, and the 5 in position 9 should be a 3

47Prije 2 dana

What a Video... The ultimate Video for Curing Insomnia...😆😆

Unknown GamerPrije 2 dana

I hope he ate that pizza it made me hungry

Nathan NarayaPrije 2 dana

Is that pineapple on pizza? Disgustang

ThirdFrontPrije 2 dana

Pi as infinite series wasn't newton's invention at all. It was deduced by Madhava of Sangamgram in late 1300s - early 1400s using series to eleven digits. It is quite well know fact.

Jeffrey CatapPrije 2 dana

This makes me feel dumb by 2 to the power of infinity.

Patricio PinoargotePrije 2 dana

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Ingyu LeePrije 2 dana

what a NEWton!

Steve RichmondPrije 2 dana

22/7

DaasPrije 2 dana

6 pizzas died making this video

Curtis EuryPrije 2 dana

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Arwah SapiPrije 2 dana

Math would've been quite different had Isaac Newton sat under a durian tree.

Muhsi NahiyanPrije 2 dana

I really feel bad for the guy who spent 25years(1/4 th of a century) just to be beaten by someone else after sometime and then get crushed by Newton and be a laughing matter

MichealZuma365Prije 2 dana

5:08 Netwon was Quarantining at home, due to an outbreak of bubonic plague *Hmm, I wonder when I've heard something like that before....*

NebulaPrije 2 dana

Now I know how my cat feels when I combine two of her favorite foods in the same bowl.

TimedogPrije 3 dana

It sounds like Archimedes was kinda close to inventing integral calculus

Andre IcazaPrije 3 dana

Him: "But Newton goes even further" Me: Please, Newton, stop!

JellyBean ChrisPrije 3 dana

I blacked out after 5 mins😐

ebola_boiPrije 3 dana

Not sure if i am right but i am pretty sure the guest speaker is the main voice of Khan Academy

Ten-DimensionPrije 3 dana

And he was just 22 years old. Well that's enough to blow my mind that he was able to just think that far.

Jayden LiPrije 3 dana

How end of the year partys be like

Jordan FaderPrije 3 dana

So, his method computed incorrectly in the first 5 decimal places?

enlightendbelPrije 3 dana

"Was quarantining at home due to the outbreak of the plague". And here we are in 2021 with people pretending wearing masks and quarantining is a new concept designed to take muh freedom. I hate this timeline.

ESALEXPrije 3 dana

Eating too much cake is a sin of gluttony, but eating a lot of pie is ok because the sin of pi is always zero.

Tanishka SinghPrije 3 dana

Based on this code, there are many Slokas relating to mathematics., e.g., the following is a sloka for Pi value: गोपीभाग्य मधुव्रातः श्रुंगशोदधि संधिगः | खलजीवितखाताव गलहाला रसंधरः || This is the pronunciation in English: Gopeebhaagya Madhuvraathah Shrugashodhadhi Samdhigah Khalajeevithakhaathaava Galahaalaa Rasamdharah This is the translation, based on it's code. This code is based off of the main Sanskrit letters in the Sloka: ga-3, pa-1, bha-4, ya -1, ma-5, Dhu-9, ra-2, tha-6, shru-5, ga-3, sho-5, dha-8, Dhi -9, sa-7, Dha- 9, ga-3, kha-2, la-3, jee-8, vi-4, tha-6, kha-2, tha-6, va-4, ga-3, la-3, ha-8, la-3, ra-2, sa-7, Dha-9, ra-2 This is the actual value of Pi: 3.1415926535897932384626433832792…-----RIGVEDA, 10 CANTO [1500-1000 BCE]

HaxYouPrije 3 dana

now I want pizza

Thomas JonesPrije 3 dana

Math is so cool and I hated it sooo much, says alot about education.

AnownPrije 3 dana

Spend 25 years calculating and get beaten by a circle genius

FifaMaster7922Prije 3 dana

The diligent health nally lock because burst lally calculate given a torpid test. smiling, forgetful cry

Bill GormanPrije 3 dana

At the point where I viewed this, likes were 100 times the dislikes. Random ratio, or am I looking at an ordered thing, with 222.2k responses, more or less?

Rehaan's gaming worldPrije 3 dana

If Sir Newton was alive today there would be a skyscraper on mars :)

PickelPrije 3 dana

This is too complex for my tiny brain to handle.

Zyon KerPrije 3 dana

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Joshua WillisPrije 3 dana

How is it possible to calculate the perimeter of a 2^62-agon without a computer? How did Ceulen do it?

Chandra Shekar Reddy RamasahayamPrije 2 dana

I think that is the reason it took him 25 years to complete 4:07

FazPrije 3 dana

This man is just destorying pizza-

Al BrownPrije 3 dana

We're lucky Newton was quarantining and not out an about the town square because he wanted to own the libtards.

phunkym8Prije 4 dana

professor kontorovich looks like a less tan tom morello

Johannes jojoPrije 4 dana

I am very interested in physics and math but my English is bad. Can I use brilliant in German too?

SINGH'S Vlog diaryPrije 4 dana

Your calculations are wrong that you showed.your theory is correct but not the calculations becsuse ⅙-⅛¼⁴ does not equal to ⅙-1/40