The four magic cubes of order 3
There is only one magic square of order 3, excluding rotations and symmetries:
4 
3 
8 
9 
5 
1 
2 
7 
6 
But there are four different magic cubes of order 3, again excluding rotations and symmetries:
Cube 1 

Cube 2 

Cube 3 

Cube 4 

1 
17 
24 
2 
18 
22 
10 
26 
6 
12 
26 
4 

15 
19 
8 
24 
1 
17 
24 
1 
17 
23 
1 
18 

26 
6 
10 
16 
23 
3 
8 
15 
19 
7 
15 
20 






23 
3 
16 
15 
19 
8 
23 
3 
16 
22 
3 
17 

7 
14 
21 
7 
14 
21 
7 
14 
21 
9 
14 
19 

12 
25 
5 
20 
9 
13 
12 
25 
5 
11 
25 
6 






18 
22 
2 
25 
5 
12 
9 
13 
20 
8 
13 
21 

20 
9 
13 
11 
27 
4 
11 
27 
4 
10 
27 
5 

4 
11 
27 
6 
10 
26 
22 
2 
18 
24 
2 
16 
In the four cubes:
Download these four existing standard magic cubes of order 3 (Excel file of 18Kb)
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