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Calculating π by hand: the Chudnovsky algorithm

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Channel: Stand-up Maths
Categories: Math  
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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!
https://www.youtube.com/watch?v=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/

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