This cube shift reminds me of the self similar fractal shift. Could also be calculated as a Lorentz shift.
I think the Lorentz is just the way to move the 2 or 3 D one dimension up and that fractal calculations have dimensional shifts with each bifurcation of the algorithm.
Well if you are a gamer you can easily see the shift of POF of the initial picture. Think of the Lorentz transformations as just math doing that with space-time.
opps POV
Third image can be interpreted as trans-dimensional tensor as well (like topology and Einstein)