There was a paper published in 1967 by M.G. Minnaert on unusual optical phenomena. Too bad the pictures in the reproduced article are so poor, the phenomena can't usually be seen. However, the verbal descriptions in the paper are detailed.
The exit sign is in two parts. A white rectangular battery box connected to the ceiling by a shaft and the actual illuminated sign with the red letters EXIT hanging down from that. The batteries allows the sign to illuminate in a power outage and the hanging shaft has electrical wires to keep the batteries charged. But none of that is in the solution to the puzzle of why the shadow shows the letters connected to the ceiling by the shaft and the battery box below. Based on the shadow on the carpet, how would the electricity get to the battery box to charge the batteries??I see a light fixture that could be mistaken as a battery box, and the shadow of the sign below the exit sign?
Though, as Nodda has figured out, just refraction, won't shift the image that much. The sign needs to be a shallow prism. I think this is pretty rare, most exit signs like that are planar.I just think it is due to the difference in refracting ability of air vs plastic, and the fact that the sign and the battery box are not on the same plane.
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