Acronym ...
Name hyperbolic "5N oct + 20N trip + 12N pip" honeycomb
Circumradius sqrt[-(3 sqrt(5)-5)/20] = 0.292250 i
Vertex figure
 ©
((Vxo3ofo3oxV))&#zqt,  where V = 2f
Edge figures

Incidence matrix

(N → ∞)

5N |  24   8 |  24  48  12 |  6  24  24
---+---------+-------------+-----------
 2 | 60N   * |   2   2   1 |  1   2   2
 2 |   * 20N |   0   6   0 |  0   3   3
---+---------+-------------+-----------
 3 |   3   0 | 40N   *   * |  1   1   0
 4 |   2   2 |   * 60N   * |  0   1   1
 5 |   5   0 |   *   * 12N |  0   0   2
---+---------+-------------+-----------
 6 |  12   0 |   8   0   0 | 5N   *   *  oct (red)
 6 |   6   3 |   2   3   0 |  * 20N   *  trip (yellow)
10 |  10   5 |   0   5   2 |  *   * 12N  pip (blue)

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