In reply to Rick Wicklin.

I was thinking in terms of a systematic sample for larger n, which is what your example is for one-d. Think of a large counterbalanced (e.g. Williams Design) latin square for, say, n=100 or 1000. Ideally, would like a solution where every permutation is within some bounded distance of the sampled points. In my retirement, I'm pursuing an interest in exact distributions.