  The augmented moduli space is a compactification of moduli space M_n obtained
by adding stable hyperbolic surfaces. The different topological types of the
added stable surfaces produces a stratification of the boundary of M_n . Let
P_n be the pyramidal locus in the moduli space, i.e., the set of hyperbolic
surfaces of genus n such that the topological action of its
preserving-orientation isometry group is the pyramidal action of the dihedral
group Dn. The purpose of this paper is to state the complete list of strata in
the boundary of Pn
