Acronym ...
Name hyperbolic x3o5x5o3*a tesselation
 
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Circumradius sqrt[-sqrt(5)]/2 = 0.747674 i

Incidence matrix according to Dynkin symbol

x3o5x5o3*a   (N,M → ∞)

. . . .    | 30NM |    4    4 |    2    4    2    2    2 |  2   1  2  1
-----------+------+-----------+--------------------------+-------------
x . . .    |    2 | 60NM    * |    1    1    1    0    0 |  1   1  1  0
. . x .    |    2 |    * 60NM |    0    1    0    1    1 |  1   0  1  1
-----------+------+-----------+--------------------------+-------------
x3o . .    |    3 |    3    0 | 20NM    *    *    *    * |  1   1  0  0
x . x .    |    4 |    2    2 |    * 30NM    *    *    * |  1   0  1  0
x . . o3*a |    3 |    3    0 |    *    * 20NM    *    * |  0   1  1  0
. o5x .    |    5 |    0    5 |    *    *    * 12NM    * |  1   0  0  1
. . x5o    |    5 |    0    5 |    *    *    *    * 12NM |  0   0  1  1
-----------+------+-----------+--------------------------+-------------
x3o5x .       60 |   60   60 |   20   30    0   12    0 | NM   *  *  *
x3o . o3*a     6 |   12    0 |    4    0    4    0    0 |  * 5NM  *  *
x . x5o3*a    60 |   60   60 |    0   30   20    0   12 |  *   * NM  *
. o5x5o       5M |    0  10M |    0    0    0   2M   2M |  *   *  * 6N
or
. . . .      | 30NM |    4    4 |    4    4    4 |   4   1  1
-------------+------+-----------+----------------+-----------
x . . .      |    2 | 60NM    * |    2    1    0 |   2   1  0
. . x .      |    2 |    * 60NM |    0    1    2 |   2   0  1
-------------+------+-----------+----------------+-----------
x3o . .    & |    3 |    3    0 | 40NM    *    * |   1   1  0
x . x .      |    4 |    2    2 |    * 30NM    * |   2   0  0
. o5x .    & |    5 |    0    5 |    *    * 24NM |   1   0  1
-------------+------+-----------+----------------+-----------
x3o5x .    &    60 |   60   60 |   20   30   12 | 2NM   *  *
x3o . o3*a       6 |   12    0 |    8    0    0 |   * 5NM  *
. o5x5o         5M |    0  10M |    0    0   4M |   *   * 6N

x3o5x *b4o   (N,M → ∞)

. . .    . | 30NM |    4    4 |    4    4    4 |   4   1  1
-----------+------+-----------+----------------+-----------
x . .    . |    2 | 60NM    * |    2    1    0 |   2   1  0
. . x    . |    2 |    * 60NM |    0    1    2 |   2   0  1
-----------+------+-----------+----------------+-----------
x3o .    . |    3 |    3    0 | 40NM    *    * |   1   1  0
x . x    . |    4 |    2    2 |    * 30NM    * |   2   0  0
. o5x    . |    5 |    0    5 |    *    * 24NM |   1   0  1
-----------+------+-----------+----------------+-----------
x3o5x    .    60 |   60   60 |   20   30   24 | 2NM   *  *
x3o . *b4o     6 |   12    0 |    8    0    0 |   * 5NM  *
. o5x *b4o    5M |    0  10M |    0    0   4M |   *   * 6N

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