Before revision:  Here we complement these approaches by clarifying some of the connections between kirigami patterns and symmetry in terms of the wallpaper groups, the set of seventeen plane symmetry groups that fully characterize the space of periodic tilings of the plane.
After revision:  Here we complement these approaches by directly linking kirigami patterns to the symmetry associated with the set of seventeen plane symmetry groups that fully characterize the space of periodic tilings of the plane.