Fig. 2

The two pinwheel lattices considered in this work in the square case (a) and in the hexagonal case (b). The black lines show the elementary domains (the hypercolumns), the white lines the fundamental domains \(\varOmega_{0}\) (see text). The clockwise (respectively, counterclockwise) pinwheels are represented with black (respectively, white) dots. The vectors \(2\pi \mathbf {e}_{1}\) and \(2\pi \mathbf {e}_{2}\) are shown in white