<p>3D displays sometimes evoke illusion of perceived rotation angle change. In hollow face illusion, the direction of the 3D face changes according to the observation angle although the 3D face itself is static. Arc 3D display can show simple 3D image that is visible over a wide viewing angle by use of a thin substrate and illumination light. This structure is suitable for various applications such as digital signage or entertainments with illusion. If rotational perception like hollow face illusion would be obtained by simple aerial images like simple illustrations, application zone could be expanded to various field, such as animation or marks. To investigate the addition of rotation perception in 3D image with arc 3D display, we study perceived rotation angle of face-like illustration with inverted concave depth. In this paper, we quantitatively investigate the perceived rotation angle of the face image due to changing observation position and perceived depth position of face-like parts. The perceived rotation of the face image illustration can be achieved although the perceived depth of the face-like parts has various values by subject.</p>