Office Applications and Entertainment, Magic Squares
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Magic Squares, 5 x 5, Magic Constant 65
Transformations, Rotation, Reflection:

Base Square:
8 2 21 20 14
16 15 9 3 22
4 23 17 11 10
12 6 5 24 18
25 19 13 7 1
Refl. Hor.
14 20 21 2 8
22 3 9 15 16
10 11 17 23 4
18 24 5 6 12
1 7 13 19 25
Refl. Vert.
25 19 13 7 1
12 6 5 24 18
4 23 17 11 10
16 15 9 3 22
8 2 21 20 14
Rotation 180
1 7 13 19 25
18 24 5 6 12
10 11 17 23 4
22 3 9 15 16
14 20 21 2 8
Rotation 90
25 12 4 16 8
19 6 23 15 2
13 5 17 9 21
7 24 11 3 20
1 18 10 22 14
Refl. Hor. op Rot
8 16 4 12 25
2 15 23 6 19
21 9 17 5 13
20 3 11 24 7
14 22 10 18 1
Refl. Vert. op Rot
1 18 10 22 14
7 24 11 3 20
13 5 17 9 21
19 6 23 15 2
25 12 4 16 8
Rotation 270
14 22 10 18 1
20 3 11 24 7
21 9 17 5 13
2 15 23 6 19
8 16 4 12 25
Tr1
1 19 13 7 25
22 15 9 3 16
10 23 17 11 4
18 6 5 24 12
14 2 21 20 8
Refl. Hor.
25 7 13 19 1
16 3 9 15 22
4 11 17 23 10
12 24 5 6 18
8 20 21 2 14
Refl. Vert.
14 2 21 20 8
18 6 5 24 12
10 23 17 11 4
22 15 9 3 16
1 19 13 7 25
Rotation 180
8 20 21 2 14
12 24 5 6 18
4 11 17 23 10
16 3 9 15 22
25 7 13 19 1
Rotation 90
14 18 10 22 1
2 6 23 15 19
21 5 17 9 13
20 24 11 3 7
8 12 4 16 25
Refl. Hor. op Rot
1 22 10 18 14
19 15 23 6 2
13 9 17 5 21
7 3 11 24 20
25 16 4 12 8
Refl. Vert. op Rot
8 12 4 16 25
20 24 11 3 7
21 5 17 9 13
2 6 23 15 19
14 18 10 22 1
Rotation 270
25 16 4 12 8
7 3 11 24 20
13 9 17 5 21
19 15 23 6 2
1 22 10 18 14
Sw12(Base)
15 16 9 22 3
2 8 21 14 20
23 4 17 10 11
19 25 13 1 7
6 12 5 18 24
Refl. Hor.
3 22 9 16 15
20 14 21 8 2
11 10 17 4 23
7 1 13 25 19
24 18 5 12 6
Refl. Vert.
6 12 5 18 24
19 25 13 1 7
23 4 17 10 11
2 8 21 14 20
15 16 9 22 3
Rotation 180
24 18 5 12 6
7 1 13 25 19
11 10 17 4 23
20 14 21 8 2
3 22 9 16 15
Rotation 90
6 19 23 2 15
12 25 4 8 16
5 13 17 21 9
18 1 10 14 22
24 7 11 20 3
Refl. Hor. op Rot
15 2 23 19 6
16 8 4 25 12
9 21 17 13 5
22 14 10 1 18
3 20 11 7 24
Refl. Vert. op Rot
24 7 11 20 3
18 1 10 14 22
5 13 17 21 9
12 25 4 8 16
6 19 23 2 15
Rotation 270
3 20 11 7 24
22 14 10 1 18
9 21 17 13 5
16 8 4 25 12
15 2 23 19 6
Sw12(Tr1)
15 22 9 16 3
19 1 13 25 7
23 10 17 4 11
2 14 21 8 20
6 18 5 12 24
Refl. Hor.
3 16 9 22 15
7 25 13 1 19
11 4 17 10 23
20 8 21 14 2
24 12 5 18 6
Refl. Vert.
6 18 5 12 24
2 14 21 8 20
23 10 17 4 11
19 1 13 25 7
15 22 9 16 3
Rotation 180
24 12 5 18 6
20 8 21 14 2
11 4 17 10 23
7 25 13 1 19
3 16 9 22 15
Rotation 90
6 2 23 19 15
18 14 10 1 22
5 21 17 13 9
12 8 4 25 16
24 20 11 7 3
Refl. Hor. op Rot
15 19 23 2 6
22 1 10 14 18
9 13 17 21 5
16 25 4 8 12
3 7 11 20 24
Refl. Vert. op Rot
24 20 11 7 3
12 8 4 25 16
5 21 17 13 9
18 14 10 1 22
6 2 23 19 15
Rotation 270
3 7 11 20 24
16 25 4 8 12
9 13 17 21 5
22 1 10 14 18
15 19 23 2 6
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