video thumbnail 33:14
Can we calculate 100 digits of π by hand? The William Shanks method.

2022-03-14

[public] 104K views, 20.3K likes, dislikes audio only

channel thumbStand-up Maths
3840×2026

For Pi Day 2022 I used the same method as William Shanks and we got π = 3.14159265358... you know, etc etc.

Huge thanks to my patreon supporters who make this video possible. Join in and you can also help enable my ridiculous ideas: https://www.patreon.com/standupmaths

And if you are a patreon supporter and would like a piece of my working out: let me know! https://forms.gle/RsuU3dY1ZxG7hKEJ7

Volunteer to help out next time here: https://forms.gle/ypGENWgivE1WMTZZA

See more letters that Shanks sent the Royal Society over on Objectivity:

The Mathematical Spammer - https://www.youtube.com/watch?v=7yTXMeiVBCc

And I do some more maths about Shanks's other work on Numberphile.

Reciprocals of Prime Numbers - /youtube/video/DmfxIhmGPP4

Thanks to Kepier School for letting us use their hall. https://kepier.com/

The human calculator volunteers were:

Anitej Banerjee

Sam Basak

Thomas Beauchamp

Diana Bergerova

Lauren Billett

Sophie Bleau

Jasmine Burgess

Nick Campen

Hannah Charman

Matt Clough

Kelsey Hewitt

Max Hughes

Ben Hughes

Deanna Judd

Jeremy Kew

Christian Lawson-Perfect

Sophie Maclean

Max McCormick

Hazel Minty

Tilly Pitt

Matt Robinson

Matthew Scroggs

Richard Shackleton

Katie Steckles

Victoria Sun

Milosz Szymanski

Adam Townsend

Clare Wallace

Thanks specifically to the Council of Calculating Pi By Hand who helped me organise the event: James Grime, Christian Lawson-Perfect, Sophie Maclean, Matthew Scroggs, Ben Sparks and Katie Steckles.

CORRECTIONS

- We got pi wrong in the 12 decimal place. Apparently π ≠ 3.14159265358868...

- Viewer einyen1 is a true Shanks: they spotted two other mistakes in the printed version of pi. Thankfully William Shanks had them fixed back in 1873: https://royalsocietypublishing.org/doi/pdf/10.1098/rspl.1873.0010

- Let me know if you spot anything else!

Filming and editing by Alex Genn-Bash

Additional filming by James Hennessy

Music by Howard Carter

Design by Simon Wright and Adam Robinson

HIDING IN THE CREDITS BY T̸̝̉H̵͘ͅĖ̸̯ ̵͕̆M̶̙̉I̴͈̅GHT̵̠̀Ẏ̷̳ ̵̘͑J̶̼̭͗Ì̸̼̘G̶̳̈́

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/

US book: https://www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/

UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback


Intro
/youtube/video/dtiLxLrzjOQ?t=0
William Shanks
/youtube/video/dtiLxLrzjOQ?t=45
The Royal Society
/youtube/video/dtiLxLrzjOQ?t=102
The calculation workshop
/youtube/video/dtiLxLrzjOQ?t=597
The Shanks formula
/youtube/video/dtiLxLrzjOQ?t=688
The end of day 1
/youtube/video/dtiLxLrzjOQ?t=763
The method
/youtube/video/dtiLxLrzjOQ?t=778
In practice
/youtube/video/dtiLxLrzjOQ?t=1106
The calculating floor
/youtube/video/dtiLxLrzjOQ?t=1298
Adding all terms together
/youtube/video/dtiLxLrzjOQ?t=1533
Combining all terms together
/youtube/video/dtiLxLrzjOQ?t=1580
Conclusion
/youtube/video/dtiLxLrzjOQ?t=1845
Stand-up Maths I do mathematics and stand-up. Sometimes simultaneously. Occasionally while being filmed. (It's quite the Venn diagram.) Principle channel supporter: Jane Street https://www.janestreet.com/ http://standupmaths.com http://twitter.com/standupmaths
/youtube/channel/UCSju5G2aFaWMqn-_0YBtq5A
The Reciprocals of Primes - Numberphile 1,165,620 views
/youtube/video/DmfxIhmGPP4
Help make these videos! patreon.com
https://www.patreon.com/standupmaths
The Mathematical Spammer (feat. Matt Parker) - Objectivity 254 71,221 views
youtube.com/watch?v=7yTXMeiVBCc