Acronym extoh
Name expanded octahedral-tetrahedral honeycomb

The rhombs {(r,R)2} have vertex angles r = arccos(1/3) = 70.528779° resp. R = arccos(-1/3) = 109.471221°. Esp. RR : rr = sqrt(2).


Incidence matrix

(N → ∞)

8N  * |   3   3   0 |  3   6   3  0 |  1  3  3 1 0
 * 6N |   0   4   4 |  0   8   4  4 |  0  4  4 1 1
------+-------------+---------------+-------------
 2  0 | 12N   *   * |  2   2   0  0 |  1  2  1 0 0
 1  1 |   * 24N   * |  0   2   2  0 |  0  1  2 1 0
 0  2 |   *   * 12N |  0   2   0  2 |  0  2  1 0 1
------+-------------+---------------+-------------
 3  0 |   3   0   0 | 8N   *   *  * |  1  1  0 0 0
 2  2 |   1   2   1 |  * 24N   *  * |  0  1  1 0 0 {4}
 2  2 |   0   4   0 |  *   * 12N  * |  0  0  1 1 0 {(r,R)2}
 0  3 |   0   0   3 |  *   *   * 8N |  0  1  0 0 1
------+-------------+---------------+-------------
 4  0 |   6   0   0 |  4   0   0  0 | 2N  *  * * * tet
 3  3 |   3   3   3 |  1   3   0  1 |  * 8N  * * * trip
 4  4 |   2   8   2 |  0   4   2  0 |  *  * 6N * * {(r,R)2}-prism
 8  6 |   0  24   0 |  0   0  12  0 |  *  *  * N * rad
 0  6 |   0   0  12 |  0   0   0  8 |  *  *  * * N oct

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