The Discovery That Transformed Pi

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Published 2021-03-16
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!

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 Ivy 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

All Comments (21)
  • @davidjohn4364
    Newton giving a lecture - "Hi guys, today we're talking about circles. The first thing you wanna do is invent calculus."
  • @ikeatable1
    If it was anybody but Newton or Euler this would be one of the most iconic moments in mathematical history. The fact that this is one of the least interesting things that Newton discovered is completely insane.
  • There are two mistakes at 14:25 & 14:28. Firstly there should be x^5/5 in place of x^4/4 and x^9/9 in place of x^9/8 and then 5×8 would be equal to 40 not 4×8 and 128×9 would be equal to 1152 not 128×8. Just for the mathematical formalism. Else, the video was great.
  • @ruttolomeo1987
    Newton’s quarantine: boring. Let’s upgrade human understanding of mathematics. My quarantine: homemade pizza.
  • @Bhatakti_Hawas
    Newton schooled himself on Brilliant during the bubonic plague quarantine
  • @betterideas
    I really like this video because I didn’t understand 99% of the math, yet I was invested. It felt like something important was unraveling before me, and I was excited by that. And that’s the power of good storytelling.
  • @yt_sricharanp
    If only my Math teacher explained it like this back in my college days ...
  • @kimi9572
    Imagine having a career so illustrious that discovering a groundbreaking way to accurrately find pi is just one of your side achievements
  • @ariearie5054
    Imagine spending 25 years of your life on something, and then a 23 year old kid comes along and beats you in a week while being in lockdown
  • Me during quarantine: Plays video games all day Newton during quarantine: Creates groundbreaking mathematical solutions
  • @joshc5613
    Everyone is talking about how genius Newton is, but really, we need to shout out Archimedes for solving pi to an almost unnecessary level of precision 1800 years before Newton even came along
  • 1666: Newton, during quarantine, discovering pi 2020: Me, during quarantine, eating pie
  • "We should always know the extent to which the rules have a chance of working farther" - I like that phrase
  • @harrokrog4707
    When this man said:“Luckily he just invented calculus“ like its not even that great. I realised what a genius he was. Sadly we dont learn about that in school
  • @HSC82388
    Now I understand how my dog feels when I'm talking to it.
  • @saddlepiggy
    “Luckily, Newton had just invented Calculus.” Bruh chill out Newton leave some discoveries for the rest of us.
  • @miceyfb
    Newton was one incredible man
  • I studied maths as Uni but never had access to material like this. These videos explain complex ideas in a few minutes that took me weeks of reading in text books to understand.
  • @andrewzmorris
    "Luckily he had just invented calculus" unbelievable