How to make a different kind of sphere

Purely for fun, I’ve modeled this cube made of cubes made of cubes (thank-you components):


I was wanting to do the same thing with spheres, but realised that it wouldn’t work with the traditional follow-me SketchUp sphere. It’s difficult to explain in words, but this screenshot shows what I mean; at the top of big sphere, the small spheres get all squashed together:

Does anyone know how to model a different kind of sphere that would “work” for what I want to do? Or know if there’s one available on the 3DW?
Thanks!

You would need a geodesic form made of triangles, I think there are some in the Warehouse.

Thanks, just what I was looking for!

Didn’t come out as well as I expected it to, but doesn’t look too bad from the inside. Will probably render to get something nice!