If you have mineral spheres, you probably have one of those fancy pronged display stands that hold the sphere up off the ground. Put that on a lazy susan and then it's easy to get as many well-aligned frames as you want around an axis of rotation of the sphere by turning the lazy susan. The display stand makes it easy to twist the sphere to get the poles visible. Sometimes, it's easier to move the object than the camera and having well-correlated photos usually makes it easier to stitch things together if you're doing it manually.
You might need camera-attached matte light or ring light to avoid weird highlights when using the basic lazy susan rig, though.