It was pointed out recently (I think in the 'high-dimensional space is pointy' thread) that in high dimensions, the (n-d hyper)cube may not be the most meaningf

It was pointed out recently (I think in the 'high-dimensional space is pointy' thread) that in high dimensions, the (n-d hyper)cube may not be the most meaningful measure of volume (and that euclidean distance may not be the most meaningful measure of distance).