A novel method based on Direct Laser Interference Patterning with 2 beams allowing to pattern surfaces with 2 dimensional periodicity and presenting several symmetry axes has been developped. It consists in the picoseond laser writing of the same 1D pattern for different sample orientations. The resulting final morphology depends on the rotation angle between the patterning steps and the number of scans. This way, various 2D short and long range periodic structures can be obtained. We show that by increasing the number of symmetry axes, the sample orientation dependance of the reflectivity, measured at 2 different wavelengths, is reduced, approaching an isotropic behaviour beyond 3 axes. Moreover, as the number of symmetry axes increases, the reflectivity decreases reaching ∼10−3 %, which is explained by the increase of roughness.