  We study the ``flat'' directions of non-BPS extremal black hole attractors
for N=2, d=4 supergravities whose vector multiplets' scalar manifold is endowed
with homogeneous symmetric special Kahler geometry. The non-BPS attractors with
non-vanishing central charge have a moduli space described by real special
geometry (and thus related to the d=5 parent theory), whereas the moduli spaces
of non-BPS attractors with vanishing central charge are certain Kahler
homogeneous symmetric manifolds. The moduli spaces of the non-BPS attractors of
the corresponding N=2, d=5 theories are also indicated, and shown to be rank-1
homogeneous symmetric manifolds.
