Office Applications and Entertainment, Latin Squares
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Self Orthogonal Latin Diagonal Squares (4 x 4)
Based on Possible Base Squares

Base (1)
2 3 0 1
0 1 2 3
1 0 3 2
3 2 1 0
Refl. Hor.
1 0 3 2
3 2 1 0
2 3 0 1
0 1 2 3
Refl. Vert.
3 2 1 0
1 0 3 2
0 1 2 3
2 3 0 1
Rot. 180
0 1 2 3
2 3 0 1
3 2 1 0
1 0 3 2
Rot. 90
3 1 0 2
2 0 1 3
1 3 2 0
0 2 3 1
Refl. Hor. op Rot
2 0 1 3
3 1 0 2
0 2 3 1
1 3 2 0
Refl. Vert. op Rot
0 2 3 1
1 3 2 0
2 0 1 3
3 1 0 2
Rot. 270
1 3 2 0
0 2 3 1
3 1 0 2
2 0 1 3
Base 2()
1 0 3 2
2 3 0 1
0 1 2 3
3 2 1 0
Refl. Hor.
2 3 0 1
1 0 3 2
3 2 1 0
0 1 2 3
Refl. Vert.
3 2 1 0
0 1 2 3
2 3 0 1
1 0 3 2
Rot. 180
0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
Rot. 90
3 0 2 1
2 1 3 0
1 2 0 3
0 3 1 2
Refl. Hor. op Rot
1 2 0 3
0 3 1 2
3 0 2 1
2 1 3 0
Refl. Vert. op Rot
0 3 1 2
1 2 0 3
2 1 3 0
3 0 2 1
Rot. 270
2 1 3 0
3 0 2 1
0 3 1 2
1 2 0 3
Base (3)
1 0 2 3
3 2 0 1
0 1 3 2
2 3 1 0
Refl. Hor.
3 2 0 1
1 0 2 3
2 3 1 0
0 1 3 2
Refl. Vert.
2 3 1 0
0 1 3 2
3 2 0 1
1 0 2 3
Rot. 180
0 1 3 2
2 3 1 0
1 0 2 3
3 2 0 1
Rot. 90
2 0 3 1
3 1 2 0
1 3 0 2
0 2 1 3
Refl. Hor. op Rot
1 3 0 2
0 2 1 3
2 0 3 1
3 1 2 0
Refl. Vert. op Rot
0 2 1 3
1 3 0 2
3 1 2 0
2 0 3 1
Rot. 270
3 1 2 0
2 0 3 1
0 2 1 3
1 3 0 2
Base (4)
3 2 0 1
0 1 3 2
1 0 2 3
2 3 1 0
Refl. Hor.
1 0 2 3
2 3 1 0
3 2 0 1
0 1 3 2
Refl. Vert.
2 3 1 0
1 0 2 3
0 1 3 2
3 2 0 1
Rot. 180
0 1 3 2
3 2 0 1
2 3 1 0
1 0 2 3
Rot. 90
2 1 0 3
3 0 1 2
1 2 3 0
0 3 2 1
Refl. Hor. op Rot
3 0 1 2
2 1 0 3
0 3 2 1
1 2 3 0
Refl. Vert. op Rot
0 3 2 1
1 2 3 0
3 0 1 2
2 1 0 3
Rot. 270
1 2 3 0
0 3 2 1
2 1 0 3
3 0 1 2
Base (6)
2 0 3 1
1 3 0 2
0 2 1 3
3 1 2 0
Refl. Hor.
1 3 0 2
2 0 3 1
3 1 2 0
0 2 1 3
Refl. Vert.
3 1 2 0
0 2 1 3
1 3 0 2
2 0 3 1
Rot. 180
0 2 1 3
3 1 2 0
2 0 3 1
1 3 0 2
Rot. 90
3 0 1 2
1 2 3 0
2 1 0 3
0 3 2 1
Refl. Hor. op Rot
2 1 0 3
0 3 2 1
3 0 1 2
1 2 3 0
Refl. Vert. op Rot
0 3 2 1
2 1 0 3
1 2 3 0
3 0 1 2
Rot. 270
1 2 3 0
3 0 1 2
0 3 2 1
2 1 0 3
Base (8)
3 1 0 2
0 2 3 1
2 0 1 3
1 3 2 0
Refl. Hor.
2 0 1 3
1 3 2 0
3 1 0 2
0 2 3 1
Refl. Vert.
1 3 2 0
2 0 1 3
0 2 3 1
3 1 0 2
Rot. 180
0 2 3 1
3 1 0 2
1 3 2 0
2 0 1 3
Rot. 90
1 2 0 3
3 0 2 1
2 1 3 0
0 3 1 2
Refl. Hor. op Rot
3 0 2 1
1 2 0 3
0 3 1 2
2 1 3 0
Refl. Vert. op Rot
0 3 1 2
2 1 3 0
3 0 2 1
1 2 0 3
Rot. 270
2 1 3 0
0 3 1 2
1 2 0 3
3 0 2 1
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