Developing an hyperbolic paraboloid

Hi everyone.

I was attempting in doing an algorithm for the developing of a generic ruled surface, starting with an hyperbolic paraboloid.

As for today I've managed to divide that surface in N smaller surfaces, extracting their contours, putting them to plane and recreating a surface (don't know if there was a quicker way).

However, my problem is: when I connect the components all together, all the surfaces I obtain are overlapping (see attachment).

I though of creating a vector that goes from one end to the other of one of the smallest sides (let's call it ds), meaning that every surface should move according to this vector. But now I face the fact that a generic i surface should move according to the previous, and so on; which is, I need to someway loop the component move over and over.

In layman's terms, that's what I have and what should happen:

Surface 0 in the list should not move. 

Surface 1 should move according to point 0 and vector 0.

Surface 2 should move according to point 1 and vector 1, HOWEVER point 1 and vector 1 should have move previously, as they belonged to surface 0: so they should have moved according to point 0 and vector 0.

Surface 3 should move according to point 2 and vector 2, however... and so long.

I recognize a looping fashion in this algorithm that I can't come over.

Thank you for your help!!

(see attachment)