Results on target ablation and crater formation at low and high laser intensities (at 5 × 109 W/cm2 with Nd:YAG laser in Catania and 3 × 1016 W/cm2 with iodine laser PALS in Prague) are compared. Attention is paid mainly to the crater formation (crater diameter) in dependence on the position of minimum laser-focus spot (maximum laser intensity) with regards to the target surface, at various laser wavelengths and laser energies. Significant asymmetries of these dependencies were found, similarly, as it was reported earlier e.g. for maximum charge-state of ions and X-ray radiations. Surprisingly not a single one, but two minima were observed, independently of the wavelength, the angle of the target irradiation and the target material.