Unroll possibility

 From:  bemfarmer
5463.11 
Here is an approximation unfold of a simple moi catenary loft, (posted above), which appears to be a ruled surface, and I think it is also developable. Developable surfaces are a subset of ruled surfaces. Spent a lot of time doing google scholar searches for developable surfaces and NURBS. It is a very difficult subject. Flattening is used for ship hulls, shoes, and garments. I did not find any way to directly convert NURBS to an unrolled state, with the possible exception of the Rhino Unroll surface command. (Maybe it uses hidden meshes?) Unrolling, or flattening, can be done by converting the NURBS surface into meshes. More difficult NURBS surfaces can sometimes be cut up into strips of mesh triangles, and the pieces flattened. Some NURBS surfaces would require "stretching" and be "distorted."

The original .3dm was exported as a sketchup .skp file.
Two sketchup plugins were used, with sketchup version 8.
One was Jims unfold plugin for sketchup. View hidden geometry was selected, and all of the triangular slices were selected in order, a bit tedious.
The other plugin was TIG's Object exporter for sketchup.
Michael's Obj to 3dm program was used to get the flat model back into Moi. The flat was very small compared to the original, with inch/metric problem. Ran a rebuild on the edges.
http://sketchucation.com/forums/viewtopic.php?f=323&t=33448

https://sites.google.com/site/jimfoltz/my-sketchup-plugins

Final result is an approximation.

Also found a stripification pdf/algorithm, which used two nurbs curves to create strips of triangles. (Back to mesh again.) It may be scriptable, for simple nurbs patches...

There are some cheap programs to make paper 3d models.