It’s worth saying that visualizing 4-cubes is hard but _that’s ok_: it’s not a task our brains had any evolutionary need for, and even if we could visualize 4D,

It’s worth saying that visualizing 4-cubes is hard but _that’s ok_: it’s not a task our brains had any evolutionary need for, and even if we could visualize 4D, 5 would be harder still, yet it’s easy (relatively) to usefully imagine very high dimensional spaces, even infinite Hilbert spaces, when talking about ML feature space or quantum mechanics or whatever. So don’t get hung up on visualizing more than 3D. After 1D and 2D, you get the idea.