I need a truncated icosahedron. Blender lets me do that with add -> mesh -> math function -> regular solid (assuming the extra plugin is installed.) So far so good. However, the mesh that is created does not use n-gons. This means that each hexagon or pentagon face is cut by an unusable edge approximately through the middle. These extra "lines" destroy the visual symmetry I need for the wireframe.
I have tried deleting the extra edges. This results in the in the removal of far more than just the offending edge. It blows a huge hole in the whole object. I have tried merging the two faces (which compose the pentagon or hexagon) into an n-gon. Somehow this again ends up doing far more than just merge the two parts of the face.
No matter what I try I get unintended effects that are far to global. I have also considered drawing fresh lines over only the desired edges. I cannot figure out how to do this either. I have also extracted the faces and edges with python, but those are too cumbersome to edit... and then what?
How do I get a nice clean geometric wire frame without distracting extra edges?