As humans we often take binocular vision for granted. Many animals, such as rabbits and birds, have eyes facing opposite directions. These animals can see all around them without even moving their heads, however do not have two slightly different images of the same thing. For this reason they do not enjoy the many forms of depth perception created by binocular vision.
The slight difference between the viewpoints of your two eyes is called binocular disparity. Binocular disparity is the form of depth perception most used by the human brain, and is the most easily manipulated for perception tricks. The brain takes these two different views and molds them together into a three dimensional object.
There are many ways to create the illusion of depth using binocular disparity. Holograms, stereoscopes, and stereograms all send separate images to each eye. Binocular disparity in the brain combines these images into a three dimensional picture.
One other experiment to demonstrate binocular disparity is called the Pulfrich Illusion. This illusion occurs because of latency, the fact that the eyes don't react instantaneously to visual stimuli. At lower levels of light, it takes the eye longer to "see an image." If you wear sunglasses on one eye, that one eye will respond more slowly than the uncovered eye.