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I built this visualization while taking a signal processing course. The goal is to demonstrate the duality between transformations in the signal and spectral domain.
For example shifting the signal along the time axis results in a linear phase twist in the spectral domain.
In most textbooks I came across the phase and magnitute are plotted separately and even in digital 3d plots often only one domain at a time is plotted.
Inspired by graphics like this [1] my idea was to plot both time and spectral domains at once onto the sides of a rotating cuboid. So each 90deg rotation of the cuboid represents one fourier transform (... -> s(t) -> S(f) -> s(-t) -> S(-f) -> ...).
[1]:
