Acronym ...
Name hyperbolic rectified order 5 dodecahedral tesselation
Circumradius sqrt[-(5+9 sqrt(5))/38] = 0.813126 i
Vertex figure
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Incidence matrix according to Dynkin symbol

o5x3o5o   (N → ∞)

. . . . | 6N   10 |  5  10 | 5 2
--------+----+-----+--------+----
. x . . |  2 | 30N |  1   2 | 2 1
--------+----+-----+--------+----
o5x . . |  5 |   5 | 6N   * | 2 0
. x3o . |  3 |   3 |  * 20N | 1 1
--------+----+-----+--------+----
o5x3o .  30 |  60 | 12  20 | N *
. x3o5o  12 |  30 |  0  20 | * N

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