Deform spiral with curve

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I have a spiral and I have a curve. I want the spiral to be deformed by the curve keeping the curve in the same position and keeping the shape of the spiral - so the spiral spirals around the path of the curve. I'm sure there is a simple solution to this but I just can't seem to figure it out.

Any help would be appreciated.

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spiral_path.hip (67.4 KB)

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While this does not take a spiral and deform on a curve, it does make a spiral around a curve that has some procedural control to it. Probably could use a few tweaks to make it into a proper tool…

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spiral_path_JRH.hip (101.6 KB)

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That's exactly what I'm after and I like the approach too. I was too set on trying to deform the other shape rather than building a new spiral around the curve. Thank you very much for your help.
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Glad it helped.
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