Not sure you are managing to be any more clear.

I am sure you are visualizing something sensible but reading that, to me, felt as ambiguous as the article.

Can you use a specific example with an actual physical 3D + extra dimension situation?

For instance, an actual example of a 4D-to-3D situation is the mapping of 3D space + 1D time to a 3D RGB color space, when representing the visual experience of a flying formation of LED drones.

Something that concrete?