### 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 0 1 2 3 4 5 4 5 6 0 1 2 3 0 1 2 3 4 5 6 2 3 4 5 6 0 1 0 1 2 3 4 5 6 4 5 6 0 1 2 3 5 6 0 1 2 3 4 3 4 5 6 0 1 2 1 2 3 4 5 6 0 1 2 3 4 5 6 0 6 0 1 2 3 4 5 5 6 0 1 2 3 4 4 5 6 0 1 2 3 2 3 4 5 6 0 1 2 3 4 5 6 0 1 0 1 2 3 4 5 6 5 6 0 1 2 3 4 6 0 1 2 3 4 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 0 2 3 4 5 6 0 1 2 3 4 5 6 0 1 4 5 6 0 1 2 3 5 6 0 1 2 3 4 6 0 1 2 3 4 5 0 1 2 3 4 5 6 1 2 3 4 5 6 0 3 4 5 6 0 1 2 3 4 5 6 0 1 2 4 5 6 0 1 2 3 0 1 2 3 4 5 6 6 0 1 2 3 4 5 0 1 2 3 4 5 6 4 5 6 0 1 2 3 2 3 4 5 6 0 1 3 4 5 6 0 1 2 1 2 3 4 5 6 0 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 3 4 5 6 4 5 6 0 1 2 3 6 0 1 2 3 4 5 3 4 5 6 0 1 2 1 2 3 4 5 6 0 2 3 4 5 6 0 1 6 0 1 2 3 4 5 5 6 0 1 2 3 4 5 6 0 1 2 3 4 2 3 4 5 6 0 1 2 3 4 5 6 0 1 1 2 3 4 5 6 0 5 6 0 1 2 3 4 6 0 1 2 3 4 5 4 5 6 0 1 2 3 1 2 3 4 5 6 0 3 4 5 6 0 1 2 0 1 2 3 4 5 6 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 3 4 5 6 0 1 2 3 4 6 0 1 2 3 4 5 1 2 3 4 5 6 0 1 2 3 4 5 6 0 3 4 5 6 0 1 2 4 5 6 0 1 2 3 4 5 6 0 1 2 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 0 1 2 3 4 5 6 4 5 6 0 1 2 3 3 4 5 6 0 1 2 3 4 5 6 0 1 2 1 2 3 4 5 6 0 6 0 1 2 3 4 5 6 0 1 2 3 4 5 5 6 0 1 2 3 4 2 3 4 5 6 0 1 2 3 4 5 6 0 1

 1x number +1 [level 5]     +   7x number [Level 5]          +    49x number [Level 5] 4 5 6 0 1 2 3 0 1 2 3 4 5 6 3 4 5 6 0 1 2 1 2 3 4 5 6 0 3 4 5 6 0 1 2 6 0 1 2 3 4 5 5 6 0 1 2 3 4 6 0 1 2 3 4 5 2 3 4 5 6 0 1 2 3 4 5 6 0 1 2 3 4 5 6 0 1 5 6 0 1 2 3 4 6 0 1 2 3 4 5 5 6 0 1 2 3 4 1 2 3 4 5 6 0 3 4 5 6 0 1 2 1 2 3 4 5 6 0 4 5 6 0 1 2 3 0 1 2 3 4 5 6 4 5 6 0 1 2 3 0 1 2 3 4 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 1 2 3 4 5 6 0 3 4 5 6 0 1 2 5 6 0 1 2 3 4 4 5 6 0 1 2 3 0 1 2 3 4 5 6 1 2 3 4 5 6 0 0 1 2 3 4 5 6 4 5 6 0 1 2 3 4 5 6 0 1 2 3 3 4 5 6 0 1 2 1 2 3 4 5 6 0 0 1 2 3 4 5 6 6 0 1 2 3 4 5 5 6 0 1 2 3 4 3 4 5 6 0 1 2 2 3 4 5 6 0 1 2 3 4 5 6 0 1 6 0 1 2 3 4 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 0 1 2 3 6 0 1 2 3 4 5 5 6 0 1 2 3 4 0 1 2 3 4 5 6 2 3 4 5 6 0 1 2 3 4 5 6 0 1 3 4 5 6 0 1 2 5 6 0 1 2 3 4 6 0 1 2 3 4 5 6 0 1 2 3 4 5 1 2 3 4 5 6 0 3 4 5 6 0 1 2 2 3 4 5 6 0 1 4 5 6 0 1 2 3 0 1 2 3 4 5 6 5 6 0 1 2 3 4 0 1 2 3 4 5 6 4 5 6 0 1 2 3 1 2 3 4 5 6 0 3 4 5 6 0 1 2