My research concerns the understanding of robust phenomena in nature, that is, phenomena that do not depend of underlying Physics, hence appear in several physical systems, for instance, Pattern formation. The patterns are self organized structures which exist under non-equilibrium conditions. Surprisingly ordered non equilibrium patterns are found in many different places in nature, including convection cells in fluids, transverse section in semiconductor laser, spiral in oscillatory chemical reactions, ripples on blown sand, and in many biological and geological processes. The understanding of these phenomena is associated to the geometrical understanding of different equations.