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Calculating π by hand: the Chudnovsky algorithm

2018-03-14

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For Pi Day 2018 I calculated π by hand using the Chudnovsky algorithm.

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

k = 0

42698672/13591409 = 3.141592|751...

k = 0 and k = 1

42698670.666333435968/13591408.9999997446 = 3.14159265358979|619...

Watch me do the second term working out on my second channel:

https://youtu.be/I7YvD7dqsy8

See me do the entire final calculation again (without a mistake) on Patreon:

https://www.patreon.com/posts/17542566

Proof that I did actually do it properly:

https://www.dropbox.com/s/64vc5iz7yt41r53/chudnovsky-pi-FIXED.pdf?dl=0

This was my attempt two years ago. Look at how much hair I had!

/youtube/video/HrRMnzANHHs

The Chudnovsky Brothers used their algorithm to be the champion pi calculators of the early 1990s: going from half a billion to four billion digits of pi.

https://en.wikipedia.org/wiki/Chronology_of_computation_of_%CF%80

This video was filmed at Queen Mary University of London.

CORRECTIONS

- None yet. Let me know if you spot anything!

Thanks to my Patreon supporters who enable me to spend a day doing a lot of maths by hand. Here is a random subset:

Christopher Samples

Sean Dempsey-Gregory

Emily Dingwell

Kenny Hutchings

Rick de Bruijne

Support my channel and I can make more videos:

https://www.patreon.com/standupmaths

Music by Howard Carter

Filming and editing by Trunkman Productions

Audio mastering by Peter Doggart

Design by Simon Wright

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/

Maths book: http://makeanddo4D.com/

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