Bistable space-time discrete systems commonly possess a large variety of stable stationary solutions with periodic profile. In this context, it is natural to ask about the fate of trajectories composed of interfaces between steady configurations with periodic pattern and in particular, to study their propagation as traveling fronts. In this talk, I will consider such fronts in piecewise affine bistable recursions on the one-dimensional lattice. By introducing a definition inspired by symbolic dynamics, I will present results on the existence of front solutions and the uniqueness of their velocity, upon existence of their ground patterns. Moreover, the velocity dependence on parameters and the co-existence of several fronts with distinct ground patterns will also be described. Finally, robustness of the results to small C1-perturbations of the piecewise affine map will be argued by mean of continuation arguments.