3-D Matrix Field
Subset of 3-D Matrix Field
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| 6 | 3 | -4 | | -1 | 0 | 2 | | 1 | 1 | 1 | | 1 | 1 | 2 | | 2 | 1 | 3 |
| 3 | 2 | -1 | | 0 | 1 | 2 | | 1 | 2 | 2 | | 1 | 3 | 3 | | 1 | 5 | 4 |
| -4 | -1 | 5 | | 2 | 2 | 1 | | 1 | 2 | 3 | | 2 | 3 | 4 | | 3 | 4 | 6 |
|
| -3 | -1 | 3 | | 1 | 1 | 0 | | 0 | 1 | 1 | | 0 | 2 | 1 | |
| -1 | 0 | 2 | | 1 | 1 | 1 | | 1 | 1 | 2 | | 2 | 1 | 3 | |
| 3 | 2 | -1 | | 0 | 1 | 2 | | 1 | 2 | 2 | | 1 | 3 | 3 | |
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| -7 | -3 | 6 | | 2 | 1 | -1 | | 0 | 0 | 1 | | 1 | 0 | 1 | | 2 | -1 | 2 |
| -3 | -1 | 3 | | 1 | 1 | 0 | | 0 | 1 | 1 | | 0 | 2 | 1 | | -1 | 4 | 1 |
| 6 | 3 | -4 | | -1 | 0 | 2 | | 1 | 1 | 1 | | 1 | 1 | 2 | | 2 | 1 | 3 |
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| 4 | 2 | -3 | | -1 | 0 | 1 | | 0 | 1 | 0 | | -1 | 2 | 0 | |
| 2 | 1 | -1 | | 0 | 0 | 1 | | 1 | 0 | 1 | | 2 | -1 | 2 | |
| -3 | -1 | 3 | | 1 | 1 | 0 | | 0 | 1 | 1 | | 0 | 2 | 1 | |
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| 9 | 4 | -7 | | -2 | -1 | 2 | | 1 | 0 | 0 | | 1 | -1 | 1 | | 3 | -3 | 2 |
| 4 | 2 | -3 | | -1 | 0 | 1 | | 0 | 1 | 0 | | -1 | 2 | 0 | | -3 | 5 | -1 |
| -7 | -3 | 6 | | 2 | 1 | -1 | | 0 | 0 | 1 | | 1 | 0 | 1 | | 2 | -1 | 2 |
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| -5 | -2 | 4 | | 1 | 1 | -1 | | -1 | 1 | 0 | | -2 | 3 | -1 | |
| -2 | -1 | 2 | | 1 | 0 | 0 | | 1 | -1 | 1 | | 3 | -3 | 2 | |
| 4 | 2 | -3 | | -1 | 0 | 1 | | 0 | 1 | 0 | | -1 | 2 | 0 | |
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| -11 | -5 | 9 | | 3 | 1 | --2 | | 0 | -1 | 1 | | 2 | -2 | 1 | | 5 | -6 | 3 |
| -5 | -2 | 4 | | 1 | 1 | -1 | | -1 | 1 | 0 | | -2 | 3 | -1 | | -6 | 8 | -3 |
| 9 | 4 | -7 | | -2 | -1 | 2 | | 1 | 0 | 0 | | 1 | -1 | 1 | | 3 | -3 | 2 |
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| 6 | 3 | -5 | | -2 | 0 | 1 | | -1 | 2 | -1 | | -4 | 5 | -2 | |
| 3 | 1 | -2 | | 0 | -1 | 1 | | 2 | -2 | 1 | | 5 | -6 | 3 | |
| -5 | -2 | 4 | | 1 | 1 | -1 | | -1 | 1 | 0 | | -2 | 3 | -1 | |
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| 14 | 6 | -11 | | -3 | -2 | 3 | | 2 | -1 | 0 | | 3 | -4 | 2 | | 9 | -11 | 5 |
| 6 | 3 | -5 | | -2 | 0 | 1 | | -1 | 2 | -1 | | -4 | 5 | -2 | | -11 | 14 | -6 |
| -11 | -5 | 9 | | 3 | 1 | -2 | | 0 | -1 | 1 | | 2 | -2 | 1 | | 5 | -6 | 3 |
In the table above the matrices are arranged with the identity matrix in the centre.
Due north is the s → l matrix, due south its inverse l → s; NW m → l, SE l → m; NE is s → m, SW m → s . These are the core matrices (the zero matrix is not shown). E and W are l → l+s and its inverse. The field extends infinitely.
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