Response from Prof. B.

It seems you are asking about the relative sizes of the inner and outer cubes, or analogously the inner and outer squares. Since both of these can be considered as images cast on a flat plate by rays emanating from a single point, we can get a better idea of the way the relative size depends on the position of the eye with respect to the figure. If the rays are emanating from a position high above the cube, then the inner and outer squares are almost identical in size, but if you get closer, without ever hitting the surface of the cube, we can make the outer square gigantic with respect to the inner one. Check it out with some drawings, or work out the one-dimensional case? The same thing happens with the hypercube, with the ratio of inner to outer depending on the "extra-height" of the viewing point, where the ratio has the limit 1 at this fourth coordinate goes to infinity, and the ratio is plus infinity as this fourth coordinate approached 1 from the top.