# A sine curve coiled in a sinusoidal fashion?

by stevenphy2
Tags: coiled, curve, fashion, sine, sinusoidal
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 P: 12 Hi all, I am find the mathematical representation of a wire itself is of a sinusoidal shape, and now we coil this sinusoidal shaped wire into a sinusoidal shape again, so it's like a double sine wave. I have a rough idea, that is to first define a new coordinate at each point of sine curve, the basis given by the unit tangent and unit normal vectors, and from these new basis at every point, I can define a sine curve again. But my problem/confusion is that, to do this, i have to use the arc-length as the parameter, instead of the x-coordinate, right? Can someone please enlighten me? Thanks.

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