7x7x7 panmagic & symmetric cube (shift method)

 

Use the same method to construct the panmagic 5x5 square (shift) to construct a symmetric & panmagic 7x7x7 cube.
 
Choose as first row of the first grid in the first level: 3-4-5-6-0-1-2. Construct row 2 up to 7 of the first grid of the first level by shifting the first row each time 4 places to the left. Construct the first grid of level 2 up to 7 by shifting the columns of the first grid of the first level each time 2 places to the left.
 
Choose as first row of the second grid in the first level: 6-0-1-2-3-4-5. Construct row 2 up to 7 of the second grid of the first level by shifting the first row each time 4 places to the right. Construct the second grid of level 2 up to 7 by shifting the columns of the second grid of the first level each time 2 places to the left.
 
The third grid is the same as the second grid, but the levels are put in reversed order (7 up to 1 instead of 1 up to 7).
 
Take 1x number from first grid + 7x number from second grid + 49x number from third grid to get a symmetric & panmagic 7x7x7 cube.

  

 

1x number +1 [level 1]      +   7x number [Level 1]          +    49x number [Level 1]

3

4

5

6

0

1

2

   

6

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1

2

3

4

5

   

4

5

6

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1

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3

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5

6

   

2

3

4

5

6

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1

   

0

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5

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4

5

6

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1

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5

6

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3

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6

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1

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4

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5

6

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5

   

3

4

5

6

0

1

2

   

1

2

3

4

5

6

0

 

 

 

 1x number +1 [level 2]     +   7x number [Level 2]          +    49x number [Level 2]

5

6

0

1

2

3

4

   

1

2

3

4

5

6

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2

3

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5

6

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1

   

4

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1

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5

6

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5

   

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6

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3

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3

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6

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6

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1

   

3

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5

6

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1

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5

6

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5

6

0

1

2

3

4

   

6

0

1

2

3

4

5

 

 

 

 1x number +1 [level 3]     +   7x number [Level 3]          +    49x number [Level 3]

0

1

2

3

4

5

6

   

3

4

5

6

0

1

2

   

0

1

2

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4

5

6

4

5

6

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1

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5

   

3

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5

6

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1

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5

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2

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1

   

6

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5

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2

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1

   

1

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5

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6

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5

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1

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5

6

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3

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5

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0

1

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0

1

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5

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4

5

6

0

1

2

3

 

 

 

 1x number +1 [level 4]     +   7x number [Level 4]          +    49x number [Level 4]

2

3

4

5

6

0

1

   

5

6

0

1

2

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4

   

5

6

0

1

2

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4

6

0

1

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1

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5

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0

   

1

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5

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5

6

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5

6

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6

   

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5

6

   

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3

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5

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0

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5

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1

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1

2

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5

6

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6

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5

   

6

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5

5

6

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2

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2

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5

6

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1

   

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5

6

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1

 

 

 

 1x number +1 [level 5]     +   7x number [Level 5]          +    49x number [Level 5]

4

5

6

0

1

2

3

   

0

1

2

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4

5

6

   

3

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5

6

0

1

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5

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3

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6

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1

   

5

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1

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5

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5

6

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3

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5

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1

2

   

1

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5

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4

5

6

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1

2

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5

6

   

4

5

6

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2

3

   

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2

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5

6

 

 

 

 1x number +1 [level 6]     +   7x number [Level 6]          +    49x number [Level 6]

6

0

1

2

3

4

5

   

2

3

4

5

6

0

1

   

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5

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3

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3

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6

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6

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1

   

6

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5

   

5

6

0

1

2

3

4

 

 

 

 1x number +1 [level 7]     +   7x number [Level 7]          +    49x number [Level 7]

1

2

3

4

5

6

0

   

4

5

6

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1

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6

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1

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1