In the present work, we explore a nonlinear Dirac equation motivated as the
continuum limit of a binary waveguide array model. We approach the problem both
from a near-continuum perspective as well as from a highly discrete one.
Starting from the former, we see that the continuum Dirac solitons can be
continued for all values of the discretization (coupling) parameter, down to
the uncoupled (so-called anti-continuum) limit where they result in a 9-site
configuration. We also consider configurations with 1- or 2-sites at the
anti-continuum limit and continue them to large couplings, finding that they
also persist. For all the obtained solutions, we examine not only the
existence, but also the spectral stability through a linearization analysis and
finally consider prototypical examples of the dynamics for a selected number of
cases for which the solutions are found to be unstable
