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A sine curve coiled in a sinusoidal fashion? 
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#1
Jan1810, 08:17 PM

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 arclength as the parameter, instead of the xcoordinate, right? Can someone please enlighten me? Thanks. 


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