It's time to get out those funny red and blue glasses! These images are anaglyphs. They are composite images made up of two separate images taken from different perspectives. These images are then merged electronically into a single image for presentation that is then separated back into two images, one for each eye, by the special glasses and colored filters.
If you want to look at the 3D picture now, go ahead! The details here won't change your experience. The blue lens in your 3D glasses is not really blue. It is a product of additive colors, the combining of blue and green resulting in CYAN. When the images are processed in RGB (Red Green Blue) on the computer, the Red channel of one image is removed, leaving cyan. The red channel is then replaced with the red channel from the image taken from a different perspective. The red image is invisible to the eye with the red filter. The cyan image is invisible to the eye with the cyan filter. Because you end up with discreet images, your eyes function independently much as they do when you are observing a three dimensional scene in person.
Because color plays such an important role in photographic anaglyphs, it is very difficult to produce full color anaglyphs. The success of a color anaglyph is entirely dependent on the colors present in the actual scene. Greens and yellows render well, blue a little less so, and red is a disaster. Scenes containing large amounts red must be converted to black & white before conversion to anaglyphs.