  We investigate the localization-delocalization transition (LDT) in an
electromagnetically induced photonic lattice. A four-level tripod-type scheme
in atomic ensembles is proposed to generate an effective photonic moir\'{e}
lattice through the electromagnetically induced transparency (EIT) mechanism.
By taking advantage of the tunable atomic coherence, we show that both periodic
(commensurable) and aperiodic (incommensurable) structure can be created in
such a photonic moir\'{e} lattice via adjusting the twist angle between two
superimposed periodic patterns with square primitive. Furthermore, we also find
that by tuning the amplitudes of these two superimposed periodic patterns, the
localization-delocalization transition occurs for the light propagating in the
aperiodic moir\'{e} lattice. Such localization is shown to link the fact that
the flat bands of moir\'{e} lattice support quasi-nondiffracting localized
modes and thus induce the localization of the initially localized beam. It
would provide a promising approach to control the light propagation via the
electromagnetically induced photonic lattice.
