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

 

The Lowell sphere is not much bigger than that, and is significantly more spherical.

http://www.brucelowell.com/lowell-sphere/instructions/

 

An even smaller alternative is to use a dice piece, with a 2x2 jumper and a 1x1 plate or tile on each face.

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.

A Lowell sphere is made from common parts, just not ones from that set. As to whether there is a need for instructions for a sphere made from the classic set you have, I don't know. How many people with that set and no other parts want to make a sphere-like object? Probably not many, but go for it if you feel there is.

Thanks for the clarification. I'll use this for now, but I'll make sure to get the missing pieces for Lowell spheres in my next order.