Back in the 1800s, stereograms were a popular way of creating the optical illusion of depth in a static image by placing two very similar images side by side. they could be viewed using a stereoscope to create the illusion. The New York Public library has an extensive collection of stereograms, and recently created the Stereogranimator tool (http://stereo.nypl.org/) to allow people to turn these into animated GIFs, which are just as effective in creating a sense of depth. Use the Stereogranimator to create an animated GIF that makes the image appear to be 3D, or try manipulating the frames to create another interesting effect (e.g. http://stereo.nypl.org/view/41623)