  We consider type II superstring compactifications on the singular Spin(7)
manifold constructed as a cone on SU(3)/U(1). Based on a toric realization of
the projective space CP^2, we discuss how the manifold can be viewed as three
intersecting Calabi-Yau conifolds. The geometric transition of the manifold is
then addressed in this setting. The construction is readily extended to higher
dimensions where we speculate on possible higher-dimensional geometric
transitions. Armed with the toric description of the Spin(7) manifold, we
discuss a brane/flux duality in both type II superstring theories compactified
on this manifold.
