Acronym ...
Name hyperbolic x3x5x3x5*a tesselation,
hyperbolic omnitruncated dodecahedral-icosahedral honeycomb
 
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Circumradius sqrt[-1-sqrt(5)] = 1.798907 i
Vertex figure
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Confer
general polytopal classes:
noble polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3x5x3x5*a   (N → ∞)

. . . .    | 120N |   1   1   1   1 |   1   1   1   1   1   1 | 1 1 1 1
-----------+------+-----------------+-------------------------+--------
x . . .    |    2 | 60N   *   *   * |   1   1   1   0   0   0 | 1 1 1 0
. x . .    |    2 |   * 60N   *   * |   1   0   0   1   1   0 | 1 1 0 1
. . x .    |    2 |   *   * 60N   * |   0   1   0   1   0   1 | 1 0 1 1
. . . x    |    2 |   *   *   * 60N |   0   0   1   0   1   1 | 0 1 1 1
-----------+------+-----------------+-------------------------+--------
x3x . .    |    6 |   3   3   0   0 | 20N   *   *   *   *   * | 1 1 0 0
x . x .    |    4 |   2   0   2   0 |   * 30N   *   *   *   * | 1 0 1 0
x . . x5*a |   10 |   5   0   0   5 |   *   * 12N   *   *   * | 0 1 1 0
. x5x .    |   10 |   0   5   5   0 |   *   *   * 12N   *   * | 1 0 0 1
. x . x    |    4 |   0   2   0   2 |   *   *   *   * 30N   * | 0 1 0 1
. . x3x    |    6 |   0   0   3   3 |   *   *   *   *   * 20N | 0 0 1 1
-----------+------+-----------------+-------------------------+--------
x3x5x .      120 |  60  60  60   0 |  20  30   0  12   0   0 | N * * *
x3x . x5*a   120 |  60  60   0  60 |  20   0  12   0  30   0 | * N * *
x . x3x5*a   120 |  60   0  60  60 |   0  30  12   0   0  20 | * * N *
. x5x3x      120 |   0  60  60  60 |   0   0   0  12  30  20 | * * * N
or
. . . .      | 30N |   4 |   2   2  2 | 4
-------------+-----+-----+------------+--
x . . .    & |   2 | 60N |   1   1  1 | 3
-------------+-----+-----+------------+--
x3x . .    & |   6 |   6 | 10N   *  * | 2
x . x .    & |   4 |   4 |   * 15N  * | 2
. x5x .    & |  10 |  10 |   *   * 6N | 2
-------------+-----+-----+------------+--
x3x5x .    &  120 | 180 |  20  30 12 | N

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