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The non-regular hexahedra {(h,H,H)²} have vertex angles h = arccos(-1/3) = 109.471221° resp. H = arccos[-1/sqrt(3)] = 125.264390°.

Incidence matrix

(N → ∞)

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