All, I am thinking of making a lamp-shade sort of thing, fairly large (~1m across maybe) using blender for most of the design.
My plan is to create a shape with ~100 faces (probably spheroid with some interesting deviations) and then create connector pieces for each vertex that will hold metal rods in place, forming the mesh. The connectors will be 3D-printed and should be fairly easy to make (if not keep track of). The faces of the mesh will be made of paper.
The remaining question I have for this design process is how to get the paper faces in the correct size. What I need is for every edge length to be exactly correct and un-distorted. I would print out templates on pieces of paper and then cut them out… then glue them to the frame.
Anyway, long story short: Is there any way to take all the faces of a mesh and lay them out flat (UV-unwrapping or otherwise) without changing any of the edge lengths?