Acronym ...
Name hyperbolic prismated order 5 cubic tesselation,
hyperbolic runcinated order 5 cubic tesselation,
hyperbolic prismated order 4 dodecahedral tesselation,
hyperbolic runcinated order 4 dodecahedral tesselation
Circumradius sqrt[-3 sqrt(2)-2 sqrt(5)-sqrt(10)]/2 = 1.723155 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x4o3o5x   (N → ∞)

. . . . | 40N |   3   3 |   3   6   3 |  1   3   3  1
--------+-----+---------+-------------+--------------
x . . . |   2 | 60N   * |   2   2   0 |  1   2   1  0
. . . x |   2 |   * 60N |   0   2   2 |  0   1   2  1
--------+-----+---------+-------------+--------------
x4o . . |   4 |   4   0 | 30N   *   * |  1   1   0  0
x . . x |   4 |   2   2 |   * 60N   * |  0   1   1  0
. . o5x |   5 |   0   5 |   *   * 24N |  0   0   1  1
--------+-----+---------+-------------+--------------
x4o3o .    8 |  12   0 |   6   0   0 | 5N   *   *  *
x4o . x    8 |   8   4 |   2   4   0 |  * 15N   *  *
x . o5x   10 |   5  10 |   0   5   2 |  *   * 12N  *
. o3o5x   20 |   0  30 |   0   0  12 |  *   *   * 2N

snubbed forms: s4o3o5x

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