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] cybik.livejournal.com 2011-05-17 09:08 pm (UTC)(link)
That's utterly beautiful.

Have you been to the bit of the Science Museum in London which has all sorts of mathematical models? It gives the air of being somewhat forgotten about, but I've spent some happy time in there!

[identity profile] desperance.livejournal.com 2011-05-17 09:32 pm (UTC)(link)
Okay, that is pretty. All it lacks is a cat to help...

*biff*

*biff*

[identity profile] crm.livejournal.com 2011-05-17 09:32 pm (UTC)(link)
its worth while looking into the harmonic series and additive synthisis if you want to know more about whats actually going on in there.
actually i may have to dust off the noise makers and do an audio example for what the above sounds like in soundwaves.

[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...

[identity profile] concourse.livejournal.com 2011-05-17 10:27 pm (UTC)(link)
Now let's see that where they're all attached to a string, instead of to a fixed beam. And perhaps replace the cords with springs. Mathsgasm!

[identity profile] ashfae.livejournal.com 2011-05-18 08:28 pm (UTC)(link)
I want this as my screensaver forever. I don't even use a screensaver. So gorgeous.