  We demonstrate the possibility of using time-space crystalline structures to
simulate eight-dimensional systems based on only two physical dimensions. A
suitable choice of system parameters allows us to obtain a gapped energy
spectrum, making topological effects become relevant. The nontrivial topology
of the system is evinced by considering the adiabatic state pumping along
temporal and spatial crystalline directions. Analysis of the system is
facilitated by rewriting the system Hamiltonian in a tight-binding form,
thereby putting space, time, and the additional synthetic dimensions on an
equal footing.
