Acronym ...
Name hyperbolic great rhombated order 5 cubic tesselation,
hyperbolic cantitruncated order 5 cubic tesselation
Circumradius sqrt[-5-2 sqrt(2)-9 sqrt(5)-4 sqrt(10)]/2 = 3.185991 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x4x3x5o   (N → ∞)

. . . . | 120N |   1   1    2 |   1   2   2   1 |  2   1  1
--------+------+--------------+-----------------+----------
x . . . |    2 | 60N   *    * |   1   2   0   0 |  2   1  0
. x . . |    2 |   * 60N    * |   1   0   2   0 |  2   0  1
. . x . |    2 |   *   * 120N |   0   1   1   1 |  1   1  1
--------+------+--------------+-----------------+----------
x4x . . |    8 |   4   4    0 | 15N   *   *   * |  2   0  0
x . x . |    4 |   2   0    2 |   * 60N   *   * |  1   1  0
. x3x . |    6 |   0   3    3 |   *   * 40N   * |  1   0  1
. . x5o |    5 |   0   0    5 |   *   *   * 24N |  0   1  1
--------+------+--------------+-----------------+----------
x4x3x .    48 |  24  24   24 |   6  12   8   0 | 5N   *  *
x . x5o    10 |   5   0   10 |   0   5   0   2 |  * 12N  *
. x3x5o    60 |   0  30   60 |   0   0  20  12 |  *   * 2N

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