Acronym ...
Name hyperbolic rhombated order 5 cubic tesselation,
hyperbolic cantelated order 5 cubic tesselation
Circumradius sqrt[-1-2 sqrt(2)-3 sqrt(5)-2 sqrt(10)]/2 = 2.053119 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x4o3x5o   (N → ∞)

. . . . | 60N |   2    4 |   1   4   2   2 |  2   2  1
--------+-----+----------+-----------------+----------
x . . . |   2 | 60N    * |   1   2   0   0 |  2   1  0
. . x . |   2 |   * 120N |   0   1   1   1 |  1   1  1
--------+-----+----------+-----------------+----------
x4o . . |   4 |   4    0 | 15N   *   *   * |  2   0  0
x . x . |   4 |   2    2 |   * 60N   *   * |  1   1  0
. o3x . |   3 |   0    3 |   *   * 40N   * |  1   0  1
. . x5o |   5 |   0    5 |   *   *   * 24N |  0   1  1
--------+-----+----------+-----------------+----------
x4o3x .   24 |  24   24 |   6  12   8   0 | 5N   *  *
x . x5o   10 |   5   10 |   0   5   0   2 |  * 12N  *
. o3x5o   30 |   0   60 |   0   0  20  12 |  *   * 2N

snubbed forms: s4o3x5o

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