A theoretically calculated, automatically plotted, and photoreduced hologram has been successfully used to ``reconstruct'' the image of a nonexistent, three-dimensional, equilateral tetrahedron. The theory, as presented therein, provides a synthetic hologram which consists only of completely opaque and transparent portions; allows reconstruction of the entire image with any fraction of the hologram as in conventional experimental types; can be made to reconstruct objects for either on- or off-axis viewing; provides both a real and virtual image; and produces a positive image with both positive and negative prints.
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James P. Waters (1966) studied this question.