If you mean a DLP projector, it works like this:
There’s a chip full of microscopically tiny mirrors and a light source aimed at it. The mirrors can turn to reflect a varying amount of of light through the lens. Each mirror represents a pixel. On its own, this technology van only create greyscale images. To achieve color output, the projector alternates between a red, green and blue image for every frame. A color wheel, which is syncronized to the output, is used to color the sub-images accordingly. To the human eye it seems like the projector is displaying one full color image at a time. If you wave your hand in front of the projection, you can actually see the projector alternate between the different colors.
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