For this next phase of the project I want to apply what I learned from the first stage about cable nets and double curved surfaces to the architectural mesh. Although the mesh tends to only freely bend in one direction, I believe it would still be possible to use strips of mesh to approximate a hyperbolic paraboloid, which can be drawn using straight lines:
I noticed from the samples that the mesh is able to be slightly twisted (like a helix). Depending on the shape of the surface I wanted to make, the mesh would not have to twist more than 90 degrees along its whole length (red angle):
I’m not sure as of yet what I would do with a hypar made of mesh, but I’ll continue to explore the possibilities.