Geometry:what is the opposite of a sphere?& what shape maximises surface area/volume?

[StephenG1CMZ]

I said earlier that one could argue that a sphere either had 0 edges/faces or an infinite number.
I was imagining starting with a line, and adding more sides - a tringle, square, polygon and circle, only in 3D.

That seemed iintuitive, but I have just now happened up some references to a regular polyhedron having a maximum of 120 sides, which surprised me...without having looked at the details I would have guessed one could always add more mathematically.

Right now I'm no longer certain that a sphere could have an infinite number of faces, or whether the maximum number of faces has any relevance to spheres. But I am sure someone here can explain.