Acronym ...
Name hyperbolic truncated alternated order-5 cubic tesselation,
hyperbolic cantic order-5 cubic tesselation
Circumradius sqrt[-(7+9 sqrt(5))/8] = 1.841352 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x3x3o *b5o   (N → ∞)

. . .    . | 30N |   1   4 |   4   2   2 |  2 2 1
-----------+-----+---------+-------------+-------
x . .    . |   2 | 15N   * |   4   0   0 |  2 2 0
. x .    . |   2 |   * 60N |   1   1   1 |  1 1 1
-----------+-----+---------+-------------+-------
x3x .    . |   6 |   3   3 | 20N   *   * |  1 1 0
. x3o    . |   3 |   0   3 |   * 20N   * |  1 0 1
. x . *b5o |   5 |   0   5 |   *   * 12N |  0 1 1
-----------+-----+---------+-------------+-------
x3x3o    .   12 |   6  12 |   4   4   0 | 5N * *
x3x . *b5o   60 |  30  60 |  20   0  12 |  * N *
. x3o *b5o   30 |   0  60 |   0  20  12 |  * * N

s4o3x5o   (N → ∞)

demi( . . . . ) | 30N |   4   1 |   2   2   4 | 1  2 2
----------------+-----+---------+-------------+-------
demi( . . x . ) |   2 | 60N   * |   1   1   1 | 1  1 1
      s4o . .   |   2 |   * 15N |   0   0   4 | 0  2 2
----------------+-----+---------+-------------+-------
demi( . o3x . ) |   3 |   3   0 | 20N   *   * | 1  1 0
demi( . . x5o ) |   5 |   5   0 |   * 12N   * | 1  0 1
sefa( s4o3x . ) |   6 |   3   3 |   *   * 20N | 0  1 1
----------------+-----+---------+-------------+-------
demi( . o3x5o )   30 |  60   0 |  20  12   0 | N  * *
      s4o3x .     12 |  12   6 |   4   0   4 | * 5N *
sefa( s4o3x5o )   60 |  60  30 |   0  12  20 | *  * N

starting figure: x4o3x5o

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