> 1) Three dimensions, not two. Therefore distance is not the square root of (...) but the cube root of (...). No, it is still a square root. The term under th

> 1) Three dimensions, not two. Therefore distance is not the square root of (...) but the cube root of (...). No, it is still a square root. The term under the root is correct, but distance in N dimensions (assuming euclidian space) is just sqrt(sum(delta-n ^ 2))