Acronym ...
Name hyperbolic bitruncated order 3 icosahedral tesselation
 
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Circumradius sqrt[-4-2 sqrt(5)] = 2.910693 i
Vertex figure
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Confer
general polytopal classes:
noble polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3x5x3o   (N → ∞)

. . . . | 30N |   2   2 |   1   4   1 | 2 2
--------+-----+---------+-------------+----
. x . . |   2 | 30N   * |   1   2   0 | 2 1
. . x . |   2 |   * 30N |   0   2   1 | 1 2
--------+-----+---------+-------------+----
o3x . . |   3 |   3   0 | 10N   *   * | 2 0
. x5x . |  10 |   5   5 |   * 12N   * | 1 1
. . x3o |   3 |   0   3 |   *   * 10N | 0 2
--------+-----+---------+-------------+----
o3x5x .   60 |  60  30 |  20  12   0 | N *
. x5x3o   60 |  30  60 |   0  12  20 | * N
or
. . . .    | 15N |   4 |   2  4 | 4
-----------+-----+-----+--------+--
. x . .  & |   2 | 30N |   1  2 | 3
-----------+-----+-----+--------+--
o3x . .  & |   3 |   3 | 10N  * | 2
. x5x .    |  10 |  10 |   * 6N | 2
-----------+-----+-----+--------+--
o3x5x .  &   60 |  90 |  20 12 | N

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