Acronym ...
Name hyperbolic rectified order 3 icosahedral tesselation
 
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Circumradius sqrt[-(9+6 sqrt(5))/11] = 1.427535 i
Vertex figure
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Incidence matrix according to Dynkin symbol

o3x5o3o   (N → ∞)

. . . . | 10N    6 |   3   6 | 3 2
--------+-----+-----+---------+----
. x . . |   2 | 30N |   1   2 | 2 1
--------+-----+-----+---------+----
o3x . . |   3 |   3 | 10N   * | 2 0
. x5o . |   5 |   5 |   * 12N | 1 1
--------+-----+-----+---------+----
o3x5o .   30 |  60 |  20  12 | N *
. x5o3o   20 |  30 |   0  12 | * N

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