Office Applications and Entertainment, Magic Squares
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Examples Quaternary Squares and Resulting Magic Square

Pan Magic, Compact and Associated

B1
3 0 2 1 1 2 0 3
0 3 1 2 2 1 3 0
3 0 2 1 1 2 0 3
0 3 1 2 2 1 3 0
3 0 2 1 1 2 0 3
0 3 1 2 2 1 3 0
3 0 2 1 1 2 0 3
0 3 1 2 2 1 3 0
B2
3 0 3 0 3 0 3 0
0 3 0 3 0 3 0 3
2 1 2 1 2 1 2 1
1 2 1 2 1 2 1 2
1 2 1 2 1 2 1 2
2 1 2 1 2 1 2 1
0 3 0 3 0 3 0 3
3 0 3 0 3 0 3 0
B3
3 2 1 0 1 0 3 2
1 0 3 2 3 2 1 0
2 3 0 1 0 1 2 3
0 1 2 3 2 3 0 1
2 3 0 1 0 1 2 3
0 1 2 3 2 3 0 1
3 2 1 0 1 0 3 2
1 0 3 2 3 2 1 0
M = B1 + 4*B2 + 16*B3 + [1]
64 33 31 2 30 3 61 36
17 16 50 47 51 46 20 13
44 53 11 22 10 23 41 56
5 28 38 59 39 58 8 25
40 57 7 26 6 27 37 60
9 24 42 55 43 54 12 21
52 45 19 14 18 15 49 48
29 4 62 35 63 34 32 1


Pan Magic, Compact and Complete

B1
2 1 2 3 0 3 0 1
1 2 1 0 3 0 3 2
2 1 2 3 0 3 0 1
1 2 1 0 3 0 3 2
3 0 3 2 1 2 1 0
0 3 0 1 2 1 2 3
3 0 3 2 1 2 1 0
0 3 0 1 2 1 2 3
B2
3 0 2 0 2 1 3 1
0 3 1 3 1 2 0 2
1 2 0 2 0 3 1 3
2 1 3 1 3 0 2 0
1 2 0 2 0 3 1 3
2 1 3 1 3 0 2 0
3 0 2 0 2 1 3 1
0 3 1 3 1 2 0 2
B3
0 2 0 3 1 3 1 2
1 3 1 2 0 2 0 3
0 2 0 3 1 3 1 2
1 3 1 2 0 2 0 3
2 0 2 1 3 1 3 0
3 1 3 0 2 0 2 1
2 0 2 1 3 1 3 0
3 1 3 0 2 0 2 1
M = B1 + 4*B2 + 16*B3 + [1]
15 34 11 52 25 56 29 38
18 63 22 45 8 41 4 59
7 42 3 60 17 64 21 46
26 55 30 37 16 33 12 51
40 9 36 27 50 31 54 13
57 24 61 6 47 2 43 20
48 1 44 19 58 23 62 5
49 32 53 14 39 10 35 28


Pan Magic, Pan Magic Sub Squares

B1
1 3 0 2 1 3 0 2
0 2 1 3 0 2 1 3
3 1 2 0 3 1 2 0
2 0 3 1 2 0 3 1
3 1 2 0 3 1 2 0
2 0 3 1 2 0 3 1
1 3 0 2 1 3 0 2
0 2 1 3 0 2 1 3
B2
3 0 3 0 3 0 3 0
1 2 1 2 1 2 1 2
0 3 0 3 0 3 0 3
2 1 2 1 2 1 2 1
3 0 3 0 3 0 3 0
1 2 1 2 1 2 1 2
0 3 0 3 0 3 0 3
2 1 2 1 2 1 2 1
B3
3 0 0 3 2 1 1 2
0 3 3 0 1 2 2 1
3 0 0 3 2 1 1 2
0 3 3 0 1 2 2 1
3 0 0 3 2 1 1 2
0 3 3 0 1 2 2 1
3 0 0 3 2 1 1 2
0 3 3 0 1 2 2 1
M = B1 + 4*B2 + 16*B3 + [1]
62 4 13 51 46 20 29 35
5 59 54 12 21 43 38 28
52 14 3 61 36 30 19 45
11 53 60 6 27 37 44 22
64 2 15 49 48 18 31 33
7 57 56 10 23 41 40 26
50 16 1 63 34 32 17 47
9 55 58 8 25 39 42 24
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