[math-fun] Fish on a hyperboloid

Is it really possible that no one's rendered Escher's hyperbolic fish on the surface of a hyperboloid, where they would have more room to swim and feel altogether happier? I went to images.google.com but didn't find an image of such an object. I realize that a picture of such a surface would not do its symmetries justice. Maybe someone has created an animation that permits 3D rotation? That'd be almost as good as a tangible object. And if it permitted zooming in and zooming out, it'd be even better than the "real thing". Jim Propp P.S. Insert your own "snakes on a plane" joke here.