It was a tough one!
I wasn't sure I would get to the end. I almost gave up halfway through the 2nd tetrahedron. I left it overnight and it went better this morning

You have to be very precise, well focused and accept that the junctions between the rods and the spheres are not good at the vertices of the tetrahedra as long as the outer supporting structure is present during the construction process.
I had to correct 4 or 5 edge-crossings at the very end to make it homogeneous.
I'm glad I didn't let go. Is it worth it!

- Building process... What a mess!!! Don't give up!

- Final result. View 1.

- Final result. View 2.