if you assume the fourth dimension to be time instead of another spatial dimension, then technically, 2D animations are like low resolution (few frames instead of a "duration" of movement) 3D images (with time instead of depth for the third dimension) and a 3 dimensional holographic animation would be a 4-dimensional image.
you mentioned tesseracts / hypercubes, though. I don't really believe those can be accurately represented in 2 dimensions without losing most of the spatial meaning of the shape, and I dunno about 8 point perspective. It'd be interesting to see, though.