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 |
|