[thaumasiotes]

> That is say you've got a 2×3×4×5 array, another way to think about that is you've got a 2×3 matrix of 4×5 matrices.

No, a grid of grids is the same thing as a grid.

You can lay out some 4×5 matrices within a 2×3 pattern to have something to look at, but the result is significantly less structured than the 4-dimensional space that the array represents.

    ***** ***** *****
    *A*** ***** *****
    ***** ***** *****
    ***** ***** *****
    
    ***** ***** *****
    ***** ***** *****
    ***** ***** *****
    ***** **B** *****

How close are the points A and B? The taxicab distance is 5.