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I assume that you are talking about the flat film from which the 3-D holographic image is projected. That film appears as millions of dots that look as if they were randomly placed. The actual 3-D object cannot be discerned by looking at the dots. It is only from interference patterns created by sending, splitting and recombining coherent laser light projected through the flat film of dots, that the 3-D image can be seen.

The dots are distributed information. If you cut up the flat hologram film into pieces, each piece will produce the complete 3-D image that the whole original film would have produced. There is enough information recorded in the distribution of dots to not only provide the redundancy described, but also to provide multiple views of the the 3-D image, so that one could look around the projected image to see other sides of it.

Note that the "holographic" jewelry that you see are not true holographic projections, but rather lenticular technology. They are simply rows of fine plastic prisms that focus on various strips of multiple images depending on your viewing angle. The original photos might be of holographic projections, or of physical objects, or of digital artists' creations.

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