I would need manual, interactive control of the rotation to have any hope of understanding even the 4-cube*. An automatic rotation animation is stupefying magic to me -- pretty, but I'm not learning anything.
* Even ordinary 3-dimensional cubes have surprises -- such as that some cross-sections the cube are regular hexagons.
* Even ordinary 3-dimensional cubes have surprises -- such as that some cross-sections the cube are regular hexagons.