Quote:
Originally Posted by Picker2
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It is true that the polygon contains many kinds of different frequencies, but they all add up to make just a simple polygon. A guitar top does something similar, albeit in two dimensions.
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Are you sure the guitar does something similar? The reason the string is a polygon is due to the initial conditions of the pluck are related to a geometrical shape. This I've seen many times. I have not investigated the surface of a guitar. However, for a Gaussian type initial shape on a rectangular surface I have modeled and it indeed looks like tinfoil after some time. The guitar surface will be different and what's driving it is different, but it could well be tin foil.
Here are two videos I just made to demonstrate. The string, which you know well:
And a plate with an initial Gaussian disturbance. It's a little computer intensive, so I have to pause the animation to see the shape. However, it does after a short time resemble tin foil: