A distributive magic square has each consecutive integer in an array of
length n be in a different column and row. n is the order of the
distributive magic square and if n = 4, the numbers in a set would be 1-4.
All consecutive integers starting with 1 till n will be a set of numbers
(1,...n), then the next set of numbers would be (n+1,...2n). This goes on
till all values $$n^2$$ have been put into a set of numbers of length n
((2n+1,...3n), (3n+1,...4n), etc). all these sets of numbers are thus not
allowed in the same row and column. The sets of numbers for an order 4
distributive magic square are (1,2,3,4),(5,6,7,8),(9,10,11,12) and
(13,14,15,16). In the distributive magic square of order 4, the numbers in
each set will never be in the same row and column. The
Lo Shu (order 3)
magic square is also a distributive magic square.
