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A general dispersion equation for a micropolar anisotropic infinite medium, dispersion equations, and wave velocities in three inter-perpendicular directions for transversely isotropic and orthotropic micropolar infinite elastic media are obtained. In addition, tables of wave velocities in three inter-perpendicular directions for transversely isotropic and orthotropic infinite elastic classical media are written out. The wave velocities in an infinite isotropic elastic medium with a microstructure are considered, for example, in [1{5].