So it turns out that this year π = 3.141591678589793935225 Thanks to Ben Sparks, Deanna Judd, Max Hughes and Zoe Griffiths! Huge thanks to the National Trust for letting us film at Woolsthorpe Manor and much appreciation to the on-site staff for being endlessly helpful. Next time you are near Grantham, England you can visit Newton's house for yourself: https://www.nationaltrust.org.uk/woolsthorpe-manor Thanks as always to Jane Street for being the Stand-up Maths channel principle sponsor. This would not have happened without them. https://www.janestreet.com/ Here is the full working out for the derivation of Newton's expression for Pi, including how to get a general expression for the sum: https://www.dropbox.com/s/jndc4y12f2zhnt4/Derivation%20of%20Newton%27s%20Sum.pdf?dl=0 And here are the full Think Maths teacher resources, that includes this workings out, plus further notes for teachers and a worksheet for students: http://think-maths.co.uk/standupmaths-videos?yt-newton-pi#newton-pi Ben's method for calculating the square root of three can be seen on the second channel: https://www.youtube.com/watch?v=qknGhrmBZvA Signed copies of much of the working out (one featuring a Parker Square) are available on the Stand-up Maths eBay account. All money goes to charity. https://www.ebay.co.uk/usr/standupmaths SCANS OF ALL WORKING OUT! Any missing working out is for a term which a school did for us. https://www.dropbox.com/s/0hp70cvchuitamr/Pi-day-2020-scans.zip?dl=0 CORRECTIONS - Nothing yet. Let me know if you spot anything! (Or find where we went wrong, so very wrong.) Thanks so much to all the schools who helped out! Names are below. If teachers want to find out about similar projects in the future, sign up here: https://www.think-maths.co.uk/sign-up St John's-Ravenscourt School Winnipeg, Canada, Teachers: Morgan MacLennan and Lam Nguyen Varndean College, UK, Teacher: Nicole Cozens John Taylor High School, UK, Teacher: Simon Curzon Cals College IJsselstein Netherlands, Teacher: Maarten Van Haaren Whitgift School, UK, Teacher: Kathryn Coffin, Students: Paul Ajuwon, Mikaeel Toosy, Wei-Shun Fam, Ashwiyn Sekaran, Mr Lau, James Zhang, Artyom Boyorov South Bromsgrove High School, UK, Teacher: Sue Rowing King Edward VI Aston School, UK, Teacher: Andrew Russell, Students: Mohammed Ali Awan, Adeel Imam Leftwich High School UK, Teacher: Sam Webster, Students: Harri Major George Heriot’s School, Edinburgh, UK, Teacher: Gregor Dickson, Students: Judith Morrow, Euan Strachan, Isaac Browning The Cheney School, Oxford, UK, Teacher: Padma Thealla Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset: Glenn Watson Neil McGovern John Lewis Patrick Stover James Hall Kragar Ron Hochsprung Jordan Scales Samuel Ytterbrink Philippe von Bergen Support my channel and I can make more videos: https://www.patreon.com/standupmaths Music by Howard Carter Filming and editing by Alex Genn-Bash Design by Simon Wright 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/