No, no.

I mean spacial dimensions.

I know about the fourth and fifth dimensions.

We move freely along three axses, one direction along a fourth, and stay rooted in a single spot on a fifth, and so on.

What I mean is, what is the purpose of a hypercube? You can't draw it, and you can't make it. So what is it used for?

And yes, I get the basic idea-- A cube made of an infinite amount of cubes stacked together.