  In this work, we study unconventional anisotropic topologically ordered
phases in $3d$ that manifest type-II fractonic physics along submanifolds.
While they behave as usual topological order along a preferred spatial
direction, their physics along perpendicular planes is dictated by the presence
of fractal subsystem symmetries, completely restricting the mobility of anyonic
excitations and their bound states. We consider an explicit lattice model
realization of such phases and proceed to study their properties under periodic
boundary conditions and, later, in the presence of boundaries. We find that for
specific lattice sizes, the system possesses line and fractal membrane
symmetries that are mutually anomalous, resulting in a nontrivially gapped
ground state space. This amounts to the spontaneous breaking of the fractal
symmetries, implying a subextensive ground state degeneracy. For the remaining
system sizes the fractal symmetries are explicitly broken by the periodic
boundary conditions, which is intrinsically related to the uniqueness of the
ground state. Despite that, the system is still topologically ordered since
locally created quasiparticles have nontrivial mutual statistics and, in the
presence of boundaries, it still presents anomalous edge modes. The intricate
symmetry interplay dictated by the lattice size is a wild manifestation of
ultraviolet/infrared (UV/IR) mixing.
