Use the same method to construct the panmagic 5x5 square (shift) to construct a Nasik (and
symmetric) 11x11x11 cube.
Choose as first row of the first grid in the first level: 4-5-6-7-8-9-10-0-1-2-3. Construct row 2 up to 11 of the first grid of the first level by shifting the first row each time 5 places to the right. Construct the first grid of level 2 up
to 11 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: 9-10-0-1-2-3-4-5-6-7-8. Construct row 2 up to 11 of the second grid of the first level by shifting the first row each time 5 places to the left. Construct
the second grid of level 2 up to 11 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 first grid, but the levels are in reversed order (11 up to 1 instead of 1 up
to 11).
Take number from first grid + 11x number from second grid + 121x number from third grid to get a Nasik (and
symmetric) 11x11x11 cube.
1x number + 1 (level 1) |
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+11x number (level 1) |
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+ 121x number (level 1) |
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1x number + 1 (level 2) |
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+11x number (level 2) |
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+ 121x number (level 2) |
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6 |
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1x number + 1 (level 3) |
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+11x number (level 3) |
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+ 121x number (level 3) |
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8 |
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10 |
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8 |
3 |
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9 |
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5 |
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1 |
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10 |
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6 |
7 |
8 |
9 |
10 |
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1 |
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4 |
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7 |
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6 |
1 |
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9 |
10 |
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6 |
7 |
8 |
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6 |
7 |
8 |
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1 |
7 |
8 |
9 |
10 |
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1 |
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3 |
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5 |
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3 |
4 |
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6 |
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8 |
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1 |
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8 |
9 |
10 |
0 |
1 |
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3 |
4 |
5 |
6 |
7 |
2 |
3 |
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5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
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8 |
9 |
10 |
0 |
1 |
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3 |
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6 |
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1x number + 1 (level 4) |
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+11x number (level 4) |
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+ 121x number (level 5) |
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10 |
0 |
1 |
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8 |
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