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The non-regular hexagons {(h,H,H)²} are diagonally elongated squares. Its vertex angles are h = 90° resp. H = 135°.

Incidence matrix

(N → ∞)

N  * |  6   0 | 12  0 |  8 0  verf: oct
* 6N |  1   4 |  4  4 |  4 1
-----+--------+-------+-----
1  1 | 6N   * |  4  0 |  4 0
0  2 |  * 12N |  1  2 |  2 1
-----+--------+-------+-----
2  4 |  4   2 | 6N  * |  2 0  {(h,H,H)2}
0  3 |  0   3 |  * 8N |  1 1
-----+--------+-------+-----
4 12 | 12  12 |  6  4 | 2N *  patex cube
0  6 |  0  12 |  0  8 |  * N  oct