...and this is where I screwed up. By equating what I've described to a model of a 4 dimensional cube, I erred. My 'model' is a representation of where 3 dimensions fit into a world of "inner" and "outer" directions resulting from the expansion of the universe. Sort of ties time and gravity -- which I understand to be functions of the rate of the universe's exansion -- to a physical dimension.

An important distinction between my version and the degenerate cube is, my 'center' is a point representing zero dimensions (instead of an infinitely tiny cube). Furthermore, the outer surface of my (garbage) is only a cube because I made it so. The outer area could very well be a tetrahedron, with all its vortices dissapearing into its center point.

I'm obviously not a mathematician. But when a mathematician describes his ideas in "lay" terms I get drawn in, and am usually fascinated by it all. From the first occasion where I read someone describing how gravity 'warps' space, I've visualized the model I've described here.

If gravity affects time, and curves 3D space through another dimension, then I think my model works well to help others picture "higher" dimensions.

-LH