Eclipses can be approximated the same way as π. [ONE TAKE!]
12,026Huge thanks to Destin for the chat and footage. Check out their video!
https://www.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"
https://www.youtube.com/watch?v=ieUvzy6rnnw
We've made some Think Maths teaching resources on approximating pi with a continued fraction.
http://think-maths.co.uk/standupmaths-videos?yt-pi-approx#pi-approx
The wikipedia page on solar eclipse cycles is actually pretty good.
https://en.wikipedia.org/wiki/Eclipse_cycle
Wolfram Alpha can sort you out for all your continued fraction needs.
https://www.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.
http://www.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.
https://www.janestreet.com/
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Filming and editing by Matt Parker
Music by Howard Carter
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MATT PARKER: Stand-up Mathematician
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