Don't know the answer but I can give an idea that just might make make sense.
It has to do with keeping the various indexes of multi-dimensional arrays straigt in my head.
Think of a 7-d array as a library. To find a letter on a page of a book you would first go the correct Floor.
Then the correct isle of shelves.
Then the correct shelf.
Then the book.
Then the page.
Then the line (i.e. row).
then the character on the line (column).
Using this model higher "d" arrays are just collections of the lower arrays.
The smallest "d" array is comprised of only columns.
This model is a lot easier for me to handle, than trying to visualize a 3-d array inside 4-space.
Ben