  We use classification of non-symplectic automorphisms of K3 surfaces to
obtain a partial classification of log del Pezzo surfaces of index three. We
can classify those with "Multiple Smooth Divisor Property", whose definition we
will give. Our methods include the definition of right resolutions of quotient
singularities of index three and some analysis of automorphism-stable elliptic
fibrations on K3 surfaces. In particular we find several log del Pezzo surfaces
of Picard number one with non-toric singularities of index three.
