Acronym ...
Name hyperbolic rectified order 4 dodecahedral tesselation
Circumradius sqrt[-(1+sqrt(5))/2] = 1.272020 i
Vertex figure
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Incidence matrix according to Dynkin symbol

o4o3x5o   (N → ∞)

. . . . | 15N    8 |   8   4 |  2  4
--------+-----+-----+---------+------
. . x . |   2 | 60N |   2   1 |  1  2
--------+-----+-----+---------+------
. o3x . |   3 |   3 | 40N   * |  1  1
. . x5o |   5 |   5 |   * 12N |  0  2
--------+-----+-----+---------+------
o4o3x .    6 |  12 |   8   0 | 5N  *
. o3x5o   30 |  60 |  20  12 |  * 2N

o3x3o *b5o   (N → ∞)

. . .    . | 15N    8 |   4   4   4 |  2 2 2
-----------+-----+-----+-------------+-------
. x .    . |   2 | 60N |   1   1   1 |  1 1 1
-----------+-----+-----+-------------+-------
o3x .    . |   3 |   3 | 20N   *   * |  1 1 0
. x3o    . |   3 |   3 |   * 20N   * |  1 0 1
. x . *b5o |   5 |   5 |   *   * 12N |  0 1 1
-----------+-----+-----+-------------+-------
o3x3o    .    6 |  12 |   4   4   0 | 5N * *
o3x . *b5o   30 |  60 |  20   0  12 |  * N *
. x3o *b5o   30 |  60 |   0  20  12 |  * * N

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