Icosa?

I don't know if I have a new post yet on this. I keep trying to find a model that has gnomic projections from 20 equal sides. It is vexing when checking the top and bottom hemispheres by di-hedral angles and the middle section pieces are longer than the ones for the tops and bottom pieces.

Pressing on, I am interested in making articulated surfaces curving from the vertices, imagining Buckminster Fuller's "tensegrities" at work.