  Moir\'e materials can exhibit electronic topological features yet are
inherently quasiperiodic. Nonetheless, the localizing tendency of
quasiperiodicity can be prevented by topology. We consider a quasiperiodic
variant of the chiral Bistritzer-MacDonald model for twisted bilayer graphene
with two incommensurate moir\'e potentials. We observe "filaments" linking
magic angles with enhanced density of states and fractal wave functions that
evade localization; states away from the filaments mimic fractal surface states
of dirty topological superconductors. We demonstrate that topological
quasiperiodicity can broadly enhance superconductivity without magic-angle
fine-tuning.
