Acronym ...
Name hyperbolic prismated order 5 dodecahedral tesselation,
hyperbolic runcinated order 5 dodecahedral tesselation
Circumradius sqrt[-(1+sqrt(5))/2] = 1.272020 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x5o3o5x   (N → ∞)

. . . . | 20N |   3   3 |   3   6   3 | 1  3  3 1
--------+-----+---------+-------------+----------
x . . . |   2 | 30N   * |   2   2   0 | 1  2  1 0
. . . x |   2 |   * 30N |   0   2   2 | 0  1  2 1
--------+-----+---------+-------------+----------
x5o . . |   5 |   5   0 | 12N   *   * | 1  1  0 0
x . . x |   4 |   2   2 |   * 30N   * | 0  1  1 0
. . o5x |   5 |   0   5 |   *   * 12N | 0  0  1 1
--------+-----+---------+-------------+----------
x5o3o .   20 |  30   0 |  12   0   0 | N  *  * *
x5o . x   10 |  10   5 |   2   5   0 | * 6N  * *
x . o5x   10 |   5  10 |   0   5   2 | *  * 6N *
. o3o5x   20 |   0  30 |   0   0  12 | *  *  * N
or
. . . .    | 10N |   6 |   6   6 | 2  6
-----------+-----+-----+---------+-----
x . . .  & |   2 | 30N |   2   2 | 1  3
-----------+-----+-----+---------+-----
x5o . .  & |   5 |   5 | 12N   * | 1  1
x . . x    |   4 |   4 |   * 15N | 0  2
-----------+-----+-----+---------+-----
x5o3o .  &   20 |  30 |  12   0 | N  *
x5o . x  &   10 |  15 |   2   5 | * 6N

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