Geometry > Projective Geometry > General Projective Geometry >
Recreational Mathematics > Mathematical Art > Mathematical Images >
Recreational Mathematics > Mathematics in the Arts > Mathematics in Art >
Interactive Entries > Interactive Demonstrations >

Hardwood solitaire. A plane image or pair of two-dimensional images that, when appropriately viewed using both eyes, produces an image which appears to be three-dimensional. By taking a pair of photographs from slightly different angles and then allowing one eye to view each image, a stereogram is not difficult to produce.

Amazingly, it turns out that the three-dimensional effect can be produced by both eyes looking at a single image by defocusing the eyes at a certain distance. Such stereograms are called 'random-dot stereograms.'


Stereograms are created by repeating vertical patterns, textures, and/or objects. The horizontal distance between these repeats determines a parallax (visual displacement). If the width of this parallax is too wide it will strain a viewers eyes. Stereograms - an eye workout 1 to see the hidden 3D picture you have to focus your eyes passed the screen as you may be looking at whats behind the screen can you do it? Stare at the picture and keep focusing and unfocusing your eyes.eventually the pic will become 3-D and you will see something new. Stereograms aren't just interesting pieces of art; they're usually guaranteed conversation starters, too. But they can quickly become annoying if you're unable to see the hidden 3D image inside them. Fortunately, it only takes a few key things to view stereograms and see the world in 3D again.


Antonov, A. 'Magic Eye Animations.'

Bar-Natan, D. 'Random-Dot Stereograms.' Math. J.1, 69-71,1991.

Fineman, M. TheNature of Visual Illusion. New York: Dover, pp. 89-93, 1996.


Horibuchi, S. and Inoue, Y. (Eds.). Stereogram.San Francisco, CA: Cadence Books, 1994.


Julesz, B. Foundationsof Cyclopean Perception. Chicago, IL: University of Chicago Press, 1971.

Julesz, B. 'Stereoscopic Vision.' Vision Res.26, 1601-1611,1986.

Maeder, R. 'The Mathematica Programmer: Single-Image Stereograms.'Mathematica J.5, 50-61, 1995.

Terrell, M. S. and Terrell, R. E. 'Behind the Scenes of a Random DotStereogram.' Amer. Math. Monthly101, 715-724, 1994.

Tyler, C. 'Sensory Processing of Binocular Disparity.' In Vergence Eye Movements: Basic and Clinical Aspects. Boston, MA: Butterworth, pp. 199-295, 1983.

Stereogram Solver

StereogramReferenced on Wolfram Alpha: StereogramStereogramCITE THIS AS:

Stereogram Pictures

Weisstein, Eric W. 'Stereogram.' FromMathWorld--A Wolfram Web Resource.