  We present an experimental proposal to tune the effective lattice structure
in twisted transition metal dichalcogenide (TMD) heterobilayers with
time-periodic Floquet drive. We show that elliptically polarized light with
sub-terahertz frequencies $\hbar\omega\sim 1$ meV and moderate electric fields
$E\sim0.2$~MV/cm allows tuning between the native triangular lattice and a
square lattice, while linearly polarized light enables dimensional reduction to
a quasi-one-dimensional geometry. Without drive, these twisted TMDs simulate
the single band Fermi-Hubbard model; we show that this approximation still
holds in the presence of drive. This control opens the door to explore a rich
variety of correlated phases of matter, such as spin liquids and d-wave
superconductivity.
