LatinSquares

Makes small order Latin squares, LS, and diagonal Latin squares, DLS, of various types:

LS, DLS, axial symmetric, double axial symmetric, center symmetric, orthogonal,
self-orthogonal, natural order first row and first column, self-transpose, associative

Here LS exclude DLS, and axial symmetric exclude double axial symmetric.

All squares, except associative, are made with natural order first row, (NFR), 0 1 2 ... n-1.
Associative are natural order \diagonal. For DLS, the center symmetric squares equate to
the NFR permutation of the associative squares.

Symmetric means that there is one-to-one correspondence between all opposite pairs of
elements. Axial symmetric means opposite in each row or in each column. Double axial
symmetric means opposite in each row and in each column.

Orthogonal refers to two adjacent squares.

Self-transpose means that the LS is equal to its transpose, (symmetric matrix).