  Orbit portraits were introduced by Milnor as a combinatorial tool to describe
the patterns of all periodic dynamical rays landing on a periodic cycle of a
quadratic polynomial. This encodes information about the dynamics and the
parameter spaces of these maps. We carry out a similar analysis for unicritical
anti-polynomials and give an explicit description of the orbit portraits that
can occur for such maps in terms of their characteristic angles, which turns
out to be rather restricted when compared with the holomorphic case. Finally,
we prove a realization theorem for these combinatorial objects. The results
obtained in this paper serve as a combinatorial foundation for a detailed
understanding of the combinatorics and topology of the parameter spaces of
unicritical anti-polynomials and their connectedness loci, known as the
multicorns.
