©

The non-regular hexahedra {(h,H,H)²} have vertex angles h = arccos(1/3) = 70.528779° resp. H = arccos[-sqrt(2/3)] = 144.735610°.

Incidence matrix

(N → ∞)

N  * |  8   0 | 12  0 | 6  0  verf: cube
* 8N |  1   3 |  3  3 | 3  1
-----+--------+-------+-----
1  1 | 8N   * |  3  0 | 3  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
-----+--------+-------+-----
6 24 | 24  24 | 12  8 | N  *  chamfered oct
0  4 |  0   6 |  0  4 | * 2N  tet