I dabble in stereo-optic photography, which always uses an evil-twin image to create a false sense of dimensionality. You can see the 3-D effect if you have a stereo viewer (available through Loreo Photography) or if you look at the images really close and then cross your eyes. The latter method is not recommended.
I started 3-D photography with a Nimslo camera, a four-lensed gadget that was processed into a reticulated 3-D image. The photo of the dolphin below was taken with a Nimslo camera, but you can only see the 3-D effect when you have the actual print in your hands. I currently use a Loreo lens cap on my digital SLR to take stereo-optic images like those seen above.
In the YouTube video below, Brian Greene talks about multi-dimensionality beyond what a camera (or even a microscope) can capture.