Keeping Torsion of a Ruled Surface through Unroll (Strange things...)

Hey Folks,

I'm having kind of a hard time trying to figure out how to transform a bunch of curves in a way, that the torsion of the ribbon surface they produce is somewhat kept.

It's a little bit hard for me to explain, so I'll show you some screenshots and will try to ellaborate a bit with the hope that someone can maybe help :)

Basically I have three layers of three curves each as a starting point. The Curves basically describe a beam which travels through space. (Picture 01)

Each layer can form a unrollable surface, but I don't wont to unroll this surface (or the curves) completely. I want to unroll them in a way that the "torsion" (I don't know what elese to call it) of the surface around the center curve of the layer is kept.

I have tried it with unrolling the ribbon with the curves, rebuilding with the proper number of control points and then rotating the controlpoints back around the axis which gives a result that looks at least like a point to start. (Pic 02)

But I have absolutely no Idea if this is a proper way to do it or if the thing I want to do is even remotely pssible within a certain tolerance :D So I have attached a sample definition of my approach and hope that somebody can help me.

Any comment appreciated!
Greets!