2020-07-16

[public] 1.39M views, 71.0K likes, 1.30K dislikes audio only

Stand-up Maths

Check out Jane Street's programs and events: https://www.janestreet.com/join-jane-street/programs-and-events/

These are all of the almost-π calculations I showed:

11^6 ÷ 13 ≈ (156158413/3600)π

17^5 ÷ 11 ≈ (366494029/8920)π

11^6 ÷ 17 ≈ (119415257/3600)π

19^9 ÷ 2^3 ≈ (65249503235207/5082)π

5^9 ÷ 3 ≈ (1226819353/5920)π

7^9 ÷ 19 ≈ (2623750469/3881)π

13^5 ÷ 7 ≈ (154266801/9137)π

21^6 ÷ 5 ≈ (27818908094/5095)π

23^9 ÷ 5^4 ≈ (4030701961529/4394)π

Sheena's tweet

https://mobile.twitter.com/Sheena2907/status/1129114614321618951

The reddit post

https://www.reddit.com/r/CasualMath/comments/bn0k9f/got_this_while_doing_some_calculations_why_does/

Farey sequence

https://en.wikipedia.org/wiki/Farey_sequence

This is the 'best rational approximation' algorithm I used:

https://www.johndcook.com/blog/2010/10/20/best-rational-approximation/

I've tested it on the Casio FX-83GT PLUS and Casio FX-991EX CLASSWIZ. Let me know what calculators you have checked!

CORRECTIONS:

- At 8:30 I say "13" when I mean "11". Ignore what I say: the on-screen number is correct!

- Let me know if you spot anything else.

Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:

Alan Flett

Nikola Studer

Philippe von Bergen

Alan McNea

Derek Chandler

Jeremy Buchanan

Alan H.

Malcolm Rowe

Glenn Watson

Patrick Stover

Support my channel and I can make more videos:

https://www.patreon.com/standupmaths

And of course thanks to Jane Street who support my channel. They're amazing.

https://www.janestreet.com/

Filming and editing by Matt Parker

Additional camera work by Lucie Green

That piano music is No.8 Requiem by Esther Abrami

All other music by Howard Carter

Design by Simon Wright and Adam Robinson

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/products/5b9fa76f230ffa140094dc43

Nerdy maths toys: http://mathsgear.co.uk/

A transcendental number is not the root of any integer polynomial!

https://mathworld.wolfram.com/TranscendentalNumber.html