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 digit from first grid + 7x digit from second grid + 49x digit from third grid to get a symmetric & panmagic 7x7x7 cube.

  

 

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

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

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

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

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

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

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

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= 

Sym. & panm. 7x7x7 [Level 1]

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