How can i model that constrained surface- Please advise

Dear all,

I am struggling with that tast for some time and for now I have not found any good solution.

I need to create a surface like this:

The triangles of that surfase should be the same, they are not allowed to deform. That surface- lets call it "Ribbon" should be able to bend like a paper ribbon ( still having the same dimension triangles inside). There is illustration of that bending concept:

In fact it should work just like a paper folding/ origami ribbon..

I need to prepare side/ top drawings/ plans of that ribbon for laser cutting it from steel plates.( It is part of a ceiling feature form )

If someone know HOW can i possibly create accurate model of that in Autocad I wold be more than gratefull :)

Looking forward to see any comments, 

Kind Regards,

Z.

EDIT:

Ideal way of creating the ribbon would be if I can somehow constrain the triangles to 'stick' their edges together .. and can move the individual triangles and all form will be reacting- changing shape BUT keeping same triangles - just like folded paper .