Eclipses can be approximated the same way as π. [ONE TAKE!] @standupmaths
Eclipses can be approximated the same way as π. [ONE TAKE!]  @standupmaths
Uploaded July 2019 | Updated September 2026, 2 weeks ago
Huge thanks to Destin for the chat and footage. Check out their video!
youtube.com/watch?v=Nk0MRxXqo9s

I was at the 2 July 2019 total solar eclipse in Argentina: 30°41'07.6"S 68°28'50.2"W

My old video "Solar Eclipse Maths and the Cosmic Coincidence of the Saros Cycle"
youtube.com/watch?v=ieUvzy6rnnw

We've made some Think Maths teaching resources on approximating pi with a continued fraction.
think-maths.co.uk/standupmaths-videos?yt-pi-approx#pi-approx

The wikipedia page on solar eclipse cycles is actually pretty good.
en.wikipedia.org/wiki/Eclipse_cycle

Wolfram Alpha can sort you out for all your continued fraction needs.
wolframalpha.com/input/?i=continued+fraction+%5B3;+7,+15,+1%5D

And this is the page with more about continued fractions than you'll ever want to know.
maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html


CORRECTIONS
- I misspoke a couple of times (303 instead of 333, 2023 instead of 2022) but the correct number was always onscreen. That's what I get for doing it all in one take!
- Yes, I mooned the camera. I'm just that on theme.
- Let me know if you spot anything else!

Thanks as always for Jane Street being my principal sponsor.
janestreet.com

Thanks to my Patreon supporters who help make these videos possible. Here is a random subset:

Mauro Cioni
Emily Dingwell
Terence Crisp
Alan McNea
Colin Williams

Support my channel and I can make more maths videos:
patreon.com/standupmaths

Filming and editing by Matt Parker
Music by Howard Carter
Design by Simon Wright

MATT PARKER: Stand-up Mathematician
Website: standupmaths.com
Maths book: wwwh.umble-pi.com
Nerdy maths toys: mathsgear.co.uk
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Eclipses can be approximated the same way as π. [ONE TAKE!]

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