  The construction of discrete scalar wave propagation equations in arbitrary
inhomogeneous media was recently achieved by using elementary dynamical
processes realizing a discrete counterpart of the Huygens principle. In this
paper, we generalize this approach to spinor wave propagation. Although the
construction can be formulated on a discrete lattice of any dimension, for
simplicity we focus on spinors living in 1+1 space-time dimensions. The Dirac
equation in the Majorana-Weyl representation is directly recovered by
incorporating appropriate symmetries of the elementary processes. The Dirac
equation in the standard representation is also obtained by using its
relationship with the Majorana-Weyl representation.
