Computer simulation models are developed to investigate the formation of a hooked beach shoreline shape in the lee of a rocky headland. The modeling technique combines two one-dimensional cell systems aligned at right angles to each other so that beach erosion can proceed in two directions. This method is more versatile than a single one-dimensional model yet it avoids the complexity of a two-dimensional array. In the hooked portion of the beach the shape of the refracted-diffracted wave front is an arbitrary function of the offshore wave approach angle. The results indicate that the shape of the hooked beach is dependent on the direction of wave approach, and the shape of the refracted-diffracted wave front. Many of the configurations obtained can be fairly closely approximated by a logarithmic spiral within the shadow zone.