A periodic array of cylindrical voids, embedded in a thin film of n-doped GaAs, displays a pronounced anisotropy of the classical magnetoresistance. For a geometry where the magnetic field lies in the plane of the film, we observe a characteristic dependence on the angle between current and magnetic field. This experimental finding provides a first verification of a recently predicted effect and agrees well with theoretical calculations. The observed anisotropy is due to interactions among current distortions by neighboring voids.