  We reveal a low-temperature duality between the hyperbolic lattice model
featuring fractons and infinite decoupled copies of Zabrodin's $p$-adic model
of AdS/CFT. The core of the duality is the subsystem symmetries of the
hyperbolic fracton model, which always act on both the boundary and the bulk.
These subsystem symmetries are associated with fractal trees embedded in the
hyperbolic lattice, which have the same geometry as Zabrodin's model. The
fracton model, rewritten as electrostatics theory on these trees, matches the
equation of motion of Zabrodin's model. The duality extends from the action to
lattice defects as $p$-adic black holes.
