  We demonstrate a novel method for producing optically-induced Lieb and
super-honeycomb lattices, by employing the fractional Talbot effect of specific
periodic beam structures. Our numerical and analytical results display the
generation of Lieb and super-honeycomb lattices at fractional Talbot lengths
effectively and with high beam quality. By adjusting the initial phase shifts
of the interfering beams, the incident periodic beam structures, as well as the
lattices with broken inversion symmetry, can be constructed in situ. This
research suggests not only a possible practical utilization of the Talbot
effect in the production of novel optically-induced lattices but also in the
studies of related optical topological phenomena.
