Office Applications and Entertaiment, Magic Squares

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Magic Squares, 5 x 5, Magic Constant 65

Tranformation based on Permutation lines 1, 2, and 4, 5
:


Base
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
Sw12
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


Tranformations based on Permutations lines n and (6 - n):

Base
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
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
Tr2 = Rot(Tr1)
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
Tr12 = Rot(Base)
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


Transformations based on Combined Permutations:

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
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
Sw12(Tr2) = Rot(Sw12(Tr1))
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
Sw12(Tr12) = Rot(Sw12(Base))
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


Resulting Unique Transformations:

Base
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
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
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
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

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