Rotating fluid systems can display large-scale asymmetries about the e
quator. A model-independent mechanism for such symmetry breaking is de
scribed, via a spiralling intermittency that combines the on-off and P
omeau-Manneville mechanisms. This involves a periodic orbit in an inva
riant subspace becoming unstable to perturbations transverse to the su
bspace; these are describable in terms of the equatorial symmetry of t
he system. A scaling law is derived for the intermittency and this is
tested against results from the numerical simulation of the behaviour
of a rotating electrically conducting fluid. Finally we make compariso
ns with recent results on intermittency and symmetry breaking.