  For certain K3 surfaces, there are two constructions of mirror symmetry that
are very different. The first, known as BHK mirror symmetry, comes from the
Landau-Ginzburg model for the K3 surface; the other, known as LPK3 mirror
symmetry, is based on a lattice polarization of the K3 surface in the sense of
Dolgachev's definition. There is a large class of K3 surfaces for which both
versions of mirror symmetry apply. In this class we consider the K3 surfaces
admitting a certain purely nonsymplectic automorphism of order 4, 8, or 12, and
we complete the proof that these two formulations of mirror symmetry agree for
this class of K3 surfaces.
