I've been looking a bit into differential geometry and have gotten stuck on a question:

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> Given a function $f,$ is there a way to find the explicit space curve which has $f$ as both it's curvature and torsion?
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> 
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I've been able to find a formula for a plane curve with curvature $k(s),$ but extending to what seems to be the next simplest case (curvature = torsion) has been difficult.  

Any hints on how to proceed?