  Repulsion, induced from quantum vacuum fluctuations, for an anisotropically
polarizable atom on the symmetry axis of an anisotropically polarizable annular
disc is studied. There exists two torsion free points on each side of the
annular disc, where the interaction energy is orientation independent. The
position of second of the two torsion free points, on either side of the disc,
is shown to determine the orientation dependence of the atom at distances far
from the plate, revealing a geometrical dependence. In the ring limit of the
annular disc, new repulsion emerges.
