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Ray diagram for the 3/2 magnification to a virtual image from a converging lens with Rothstein mapping of all potential photon positions.

The Rothstein code data transformation method is a largely forgotten and underutilized method originally theorized from optics and retinal recruitment. The code is a binary representation of the slope of a line or scaling factor and can transform data and images similar to matrix multiplications except with built-in interpolations. The theoretical validation of the method presented in the original publications is complex however we can borrow from quantum theory of the dual nature of light, particle and wave, to simplify the understanding.