  We demonstrate the existence of sudden, finite-time, singularities, with
constant scale factor, expansion rate and density, in expanding Bianchi type IX
universes with free anisotropic pressures. A new type of non-simultaneous
anisotropic sudden singularity arises because of the divergences of the
pressures, which may be of barrel or pancake type. The effect of one or more
directions of expansion hitting a sudden singularity is tantamount to
dimensional reductions as the non-singular directions continue expanding and
can see the sudden singularity in their past.
