Acronym ...
Name hyperbolic prismatotruncated order 4 dodecahedral tesselation,
hyperbolic runcitruncated order 4 dodecahedral tesselation,
hyperbolic runcicantellated order 5 cubic tesselation
Circumradius sqrt[-8-5 sqrt(2)-6 sqrt(5)-3 sqrt(10)]/2 = 3.081165 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x4o3x5x   (N → ∞)

. . . . | 120N |    2    2   1 |   1   2   2   1   2 |  1   1   2  1
--------+------+---------------+---------------------+--------------
x . . . |    2 | 120N    *   * |   1   1   1   0   0 |  1   1   2  0
. . x . |    2 |    * 120N   * |   0   1   0   1   1 |  1   0   2  1
. . . x |    2 |    *    * 60N |   0   0   1   0   2 |  0   1   1  1
--------+------+---------------+---------------------+--------------
x4o . . |    4 |    4    0   0 | 30N   *   *   *   * |  1   1   0  0
x . x . |    4 |    2    2   0 |   * 60N   *   *   * |  1   0   1  0
x . . x |    4 |    2    0   2 |   *   * 60N   *   * |  0   1   1  0
. o3x . |    3 |    0    3   0 |   *   *   * 40N   * |  1   0   0  1
. . x5x |   10 |    0    5   5 |   *   *   *   * 24N |  0   0   1  1
--------+------+---------------+---------------------+--------------
x4o3x .    24 |   24   24   0 |   6  12   0   8   0 | 5N   *   *  *
x4o . x     8 |    8    0   4 |   2   0   4   0   0 |  * 15N   *  *
x . x5x    20 |   10   10  10 |   0   5   5   0   2 |  *   * 12N  *
. o3x5x    60 |    0   60  30 |   0   0   0  20  12 |  *   *   * 2N

snubbed forms: s4o3x5x

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