  We prove that positive elliptic-elliptic rotopulsator solutions of the
$n$-body problem in spaces of constant Gaussian curvature that move on Clifford
tori of nonconstant size either lie on great circles, or project onto regular
polygons. We additionally prove for the case that the configurations project
onto regular polygons that all masses are equal and show that all these
different types of positive elliptic-elliptic rotopulsator exist.
