Magic eye picture or stereogram is an optical illusion of depth created from flat, two-dimensional image. Three-dimensional (3D) scene from a two-dimensional image is created only in the human brain. My images are autostereograms where optical illusion of depth can be observed by allowing the eyes to focus behind an image (diverge). 1
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You must try to diverge the eyes or in other words - try to focus your eyes at a plane behind the image. To achieve this you may try the following method: hold the picture in front of the face, with the nose touching the picture. With the picture so close to their eyes, most people cannot focus on the picture. The brain may give up trying to move eye muscles in order to get a clear picture. If you slowly pull back the picture away from the face, while refraining from focusing, at some point the brain will lock onto a pair of patterns and you will see the 3D scene. Another way (which I use) is to relax the eyes. Don't focus on the pattern even when it is not close to your nose. Try to look "through" the pattern. At some moment your eyes will focus on the 3D scene instead of the normal 2D pattern. 1
None of my Magical eye pictures can be used anywhere (including web pages) without my permissions.