andrewducker: (witch)
andrewducker ([personal profile] andrewducker) wrote2011-05-17 10:00 pm

Mathematics is pretty



Suddenly I want to know more about why the pendulums swing how they do...

(via [livejournal.com profile] nancylebov)

[identity profile] momentsmusicaux.livejournal.com 2011-05-17 09:55 pm (UTC)(link)
Pendulums are a something to do with SHM, I vaguely seem to remember.

And the pretty patterns are just that -- you have a bunch of things with slightly different periods that line up and don't.

[identity profile] 0olong.livejournal.com 2011-05-20 11:40 pm (UTC)(link)
Yes, but why do they therefore periodically go into formations of one, two, three or more coherent lines of balls? Is there a name for this specific phenomenon (which turns up in a couple of other interesting places)?

[identity profile] momentsmusicaux.livejournal.com 2011-05-21 05:44 am (UTC)(link)
That's just number theory.
It's exactly the same as the way that every so often, multiples of, say, 2, 3, and 5 coincide.

I'd write them out to demonstrate but LJ would eat my formatting...
but you get 6, then 10, then 12, then 15, and so on, then a whopper at 30, and on it goes. Add more primes and the pattern gets even more complex.

[identity profile] 0olong.livejournal.com 2011-05-21 10:24 am (UTC)(link)
That's not a bad answer. I've seen a few other great visual demonstrations of this effect, but I can't think how to find my favourite one...