I am aware of the magnificent Lowell sphere, and I came up with this design precisely because I don't have the parts for it (I will get them at some point). The key words are "common parts" which can be found in Classic sets. It's sort of a poor man's sphere. I can figure out how to do some basic CAD instructions for it, but I don't know if there is a need for it.
I came up with these designs with parts from a Classic set. The octahedron is all studs up, the sphere has SNOT. I suppose there are lots of versions of the octahedron (or half of it, a pyramid). The sphere, though, maybe I'm actually on to something?
https://streamable.com/e/w3g8f0