This CRF-honeycomb was found by A. Weimholt in 2004. (He also is the originator of the pictures.)

That one is closely related to the decomposition of srid, as even earlier described by Steward, cf. E5 \ 6J91(P4).

Incidence matrix

(N→∞)

8N  * |   3   3  0 |  3   3   3 | 1  3 1
 * 6N |   0   4  1 |  0   2   6 | 0  3 2
------+------------+------------+-------
 2  0 | 12N   *  * |  2   1   0 | 1  2 0
 1  1 |   * 24N  * |  0   1   2 | 0  2 1
 0  2 |   *   * 3N |  0   0   4 | 0  2 2
------+------------+------------+-------
 4  0 |   4   0  0 | 6N   *   * | 1  1 0
 2  1 |   1   2  0 |  * 12N   * | 0  2 0
 2  3 |   0   4  1 |  *   * 12N | 0  1 1
------+------------+------------+-------
 8  0 |  12   0  0 |  6   0   0 | N  * *  cube
 8  6 |   8  16  2 |  2   8   4 | * 3N *  bilbiro
 8 12 |   0  24  6 |  0   0  12 | *  * N  doe