Math Gifs

September 2, 2014

Mike Schmidt passed along this link to Lisa Winter’s post collecting 21 GIFs That Explain Mathematical Concepts.

For example:

Converting a trigonometric function (sin curve) from Cartesian to polar coordinates.

Converting a trigonometric function (sin curve) from Cartesian to polar coordinates. Source: “Cartesian to polar” by KieffOwn work. Licensed under Public domain via Wikimedia Commons.

Citing this post: Urbano, L., 2014. Math Gifs, Retrieved September 26th, 2017, from Montessori Muddle: http://MontessoriMuddle.org/ .
Attribution (Curator's Code ): Via: Montessori Muddle; Hat tip: Montessori Muddle.

Waves and interference

January 27, 2010

There are lots of interesting interactive wave demonstrations on the web. The particularly interesting ones are the ones that show interference. Some of them make your eyes water. Others make your ears hurt. These simple animations show superposition (constructive and destructive interference) very nicely, but the language is a little advanced.

What I like about Dan Russell’s 2d animations is that they show the wave motion using particles. If you track a single particle with your eye you can see that while the wave moves from one side of the area to the other, the particles just move back and forth in the same general region.

Longitudinal wave

Longitudinal wave (from Russell, 2001).

I like this demo because you easily control the wave amplitude and lengths of two waves and it shows how they superimpose.

This animation of wave interference is nice because when you click on the 2d animation it shows the two waves’ effects at the point you’ve chosen as curves. You can choose points to show both constructive and destructive interference.

Constructive interference (screen capture from animation by Ng (Retrieved 2010)).


Destructive Interference (screen capture from animation by Ng (Retrieved 2010)).

This elegant but somewhat complex video shows the two dimensional sine waves generated by a rotating wheel.

Sine waves from a rotating wheel (from animation at Russell Kightley Media)

Citing this post: Urbano, L., 2010. Waves and interference, Retrieved September 26th, 2017, from Montessori Muddle: http://MontessoriMuddle.org/ .
Attribution (Curator's Code ): Via: Montessori Muddle; Hat tip: Montessori Muddle.

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