Acronym ...
Name hyperbolic cyclotruncated tetrahedral-icosahedral honeycomb
 
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Circumradius sqrt[(1-sqrt(5))/2] = 0.786151 i
Vertex figure
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Incidence matrix according to Dynkin symbol

o3x3x3o5*a   (N → ∞)

. . . .    | 12N |   5   5 |   5  10   5 |  5 1 1  5
-----------+-----+---------+-------------+----------
. x . .    |   2 | 30N   * |   2   2   0 |  2 1 0  1
. . x .    |   2 |   * 30N |   0   2   2 |  1 0 1  2
-----------+-----+---------+-------------+----------
o3x . .    |   3 |   3   0 | 20N   *   * |  1 1 0  0
. x3x .    |   6 |   3   3 |   * 20N   * |  1 0 0  1
. . x3o    |   3 |   0   3 |   *   * 20N |  0 0 1  1
-----------+-----+---------+-------------+----------
o3x3x .      12 |  12   6 |   4   4   0 | 5N * *  *
o3x . o5*a   12 |  30   0 |  20   0   0 |  * N *  *
o . x3o5*a   12 |   0  30 |   0   0  20 |  * * N  *
. x3x3o      12 |   6  12 |   0   4   4 |  * * * 5N
or
. . . .       | 6N |  10 |  10  10 | 10 2
--------------+----+-----+---------+-----
. x . .     & |  2 | 30N |   2   2 |  3 1
--------------+----+-----+---------+-----
o3x . .     & |  3 |   3 | 20N   * |  1 1
. x3x .       |  6 |   6 |   * 10N |  2 0
--------------+----+-----+---------+-----
o3x3x .     &  12 |  18 |   4   4 | 5N *
o3x . o5*a  &  12 |  30 |  20   0 |  * N

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