  This work reports an extensive study of three-dimensional topological ordered
phases that, in one of the directions behave like usual topological order
concerning mobility of excitations, but in the perpendicular plane manifest
type-II fracton physics dictated by a fractal subsystem symmetry. We obtain an
expression for the ground state degeneracy, which depends intricately on the
sizes of the plane, signaling a strong manifestation of ultraviolet/infrared
(UV/IR) mixing. The ground state degeneracy can be interpreted in terms of
spontaneous/explicit breaking of fractal subsystem symmetries. We also study
the boundary physics, which in turn is useful to understand the connection with
certain two-dimensional phases. Finally, we derive a low-energy but not
long-distance effective field theory, by Higgsing a fractal $U(1)$ symmetry and
taking the deep IR limit. This description embodies in a natural way several
aspects of the phases, such as the content of generalized global symmetries,
the role of fractal symmetries on the mobility of excitations, the anomalies,
and the boundary physics.
