A Stereoscopic Representation of Impossible Rectangle Twisted Torus Figure

 Optical illusion object is a three dimensional object made to be an impossible figure when viewed from a specific viewpoint. An optical illusion object is not perceived as an impossible figure when a viewpoint moves away from an illusion viewpoint. The viewpoint that realizes an optical illusion object is called as an illusion viewpoint.
 We propose a shape modeling method and an animating method for an optical illusion object that shapes an impossible rectangle twisted torus figure, which is a kind of impossible figures, according to the illusion viewpoint. The proposed method realizes an interactive and stereoscopic representation of the impossible figure, which has not been dealt with in previous research, viewed from in a wide range of illusion viewpoints.