Attached is a file with two objects in it - a geodesic sphere and a "joint" component. What I am trying to do is copy this joint to each of the intersections. Ideally what I would like is a way to rotate this component about the centre of the sphere without being bound to a single axis.

I hope this is clear enough, I'm in a bit of a hurry tonight and will revise at a later date if need be.

Thanks

EDIT: File is now sk6

geo.skp