  We consider the local limit of finite uniformly distributed directed animals
on the square lattice viewed from the root. Two constructions of the resulting
uniform infinite directed animal are given: one as a heap of dominoes,
constructed by letting gravity act on a right-continuous random walk and one as
a Markov process, obtained by slicing the animal horizontally. We look at
geometric properties of this local limit and prove, in particular, that it
consists of a single vertex at infinitely many (random) levels. Several
martingales are found in connection with the confinement of the infinite
directed animal on the non-negative coordinates.
