generative modeling for Rhino
Check out zonohedra or minkowski sums...
Perhaps a picture or diagram rendrais understanding of your message simple.
But i Thinks is possible to divide a dome to equal lenght.
Hopefully my answer here is useful:
That just applies to triangles though.
If for example you wanted to make a hexagonal grid on the surface, I found it is actually possible to use equal edge lengths (though a hexagonal grid wouldn't be structurally stable unless the connections are made rigid, and the angles would still vary, so I'm not sure how useful this is).