Grasshopper-folding structure

Hello i am architecture student in Greece and i have a project at studio class in which i need to use grasshopper. I want to make tree structure similar to the photo below. We need a skin to look like folding facade and we have started working on it but we got some issues. We would like to move some points from this triangles to that curve surface (where start from, before move) and all this as final look like zic-zac (Z).

Thank you and i am waiting for your response!’s+pavilion&rlz=1C1GCEA_enCY826CY826&tbm=isch&source=iu&ictx=1&fir=mbTyDt0KerzNDM%3A%2CYR6T-aR4OAtvlM%2C_&usg=AI4_-kRBMVlNuYoi-zm_ERRSJHkR-ik08A&sa=X&ved=2ahUKEwjB14aWnePfAhWxiKYKHbdTBRQQ9QEwBHoECAYQDA#imgrc=mbTyDt0KerzNDM:
Tree structure.3dm (174.4 KB)
Tree (27.3 KB)