There’s different types of 3D but they generally all work the same way. In short, the lens over your left eye only lets certain images pass through to that eye, and the lens over your right eye does the same, but with a different image.
The eye sees in 3D because they are offset and each receive a slightly different image fused by the brain to be able to see in 3D. Flat screens mostly interfere with this process because they only display a single image that is seen virtually identically by both eyes. 3D movies are typically filmed with two cameras offset so they capture two different images of the same content. They then display these images in a way that 3D glasses enable splitting those separate images into each eye separately.
In the case of red/blue like you mentioned, one of the cameras films with a red filter, the other films with a blue. When both are displayed on the same screen and you’re wearing red/blue glasses, one eye sees only the red content, and the other eye sees only the blue content. The brain fuses these images together and makes it look 3D.
Newer 3D technology allows us to do this without distorting the color by using polarized lenses (passive) or by blocking the frame not intended for each eye with electrically activated shutters so each eye only sees the frame intended for it (active).
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