  We investigate the superconducting states of the high-Tc superconductors
which we argue to be commensurately locked by the tilted rigid octahedral
distortion. The method is based on the analysis of the kinematics of the
rigid-octahedra lattice model. The distortion modes cause the competing
superconducting state of the "s" and "d" type symmetry. The vortex structure of
the competing orders is analysed on the ground of the Ginzburg-Landau model.
