Acronym ...
Name hyperbolic truncated order 3 icosahedral tesselation
 
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Circumradius sqrt[-(35+27 sqrt(5))/22] = 2.082108 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x3x5o3o   (N → ∞)

. . . . | 20N |   1   3 |   3   3 | 3 1
--------+-----+---------+---------+----
x . . . |   2 | 10N   * |   3   0 | 3 0
. x . . |   2 |   * 30N |   1   2 | 2 1
--------+-----+---------+---------+----
x3x . . |   6 |   3   3 | 10N   * | 2 0
. x5o . |   5 |   0   5 |   * 12N | 1 1
--------+-----+---------+---------+----
x3x5o .   60 |  30  60 |  20  12 | N *
. x5o3o   20 |   0  30 |   0  12 | * N

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