Acronym ...
Name hyperbolic x3x4x3x5*a tesselation
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Incidence matrix according to Dynkin symbol

x3x4x3x5*a   (N → ∞)

. . . .    | 240N |    1    1    1    1 |   1   1   1   1   1   1 |  1  1  1  1
-----------+------+---------------------+-------------------------+------------
x . . .    |    2 | 120N    *    *    * |   1   1   1   0   0   0 |  1  1  1  0
. x . .    |    2 |    * 120N    *    * |   1   0   0   1   1   0 |  1  1  0  1
. . x .    |    2 |    *    * 120N    * |   0   1   0   1   0   1 |  1  0  1  1
. . . x    |    2 |    *    *    * 120N |   0   0   1   0   1   1 |  0  1  1  1
-----------+------+---------------------+-------------------------+------------
x3x . .    |    6 |    3    3    0    0 | 40N   *   *   *   *   * |  1  1  0  0
x . x .    |    4 |    2    0    2    0 |   * 60N   *   *   *   * |  1  0  1  0
x . . x5*a |   10 |    5    0    0    5 |   *   * 24N   *   *   * |  0  1  1  0
. x4x .    |    8 |    0    4    4    0 |   *   *   * 30N   *   * |  1  0  0  1
. x . x    |    4 |    0    2    0    2 |   *   *   *   * 60N   * |  0  1  0  1
. . x3x    |    6 |    0    0    3    3 |   *   *   *   *   * 40N |  0  0  1  1
-----------+------+---------------------+-------------------------+------------
x3x4x .       48 |   24   24   24    0 |   8  12   0   6   0   0 | 5N  *  *  *
x3x . x5*a   120 |   60   60    0   60 |  20   0  12   0  30   0 |  * 2N  *  *
x . x3x5*a   120 |   60    0   60   60 |   0  30  12   0   0  20 |  *  * 2N  *
. x4x3x       48 |    0   24   24   24 |   0   0   0   6  12   8 |  *  *  * 5N
or
. . . .       | 120N |    2    2 |   2   2   1   1 |  2  2
--------------+------+-----------+-----------------+------
x . . .     & |    2 | 120N    * |   1   1   1   0 |  1  2
. x . .     & |    2 |    * 120N |   1   1   0   1 |  2  1
--------------+------+-----------+-----------------+------
x3x . .     & |    6 |    3    3 | 40N   *   *   * |  1  1
x . x .     & |    4 |    2    2 |   * 60N   *   * |  1  1
x . . x5*a    |   10 |   10    0 |   *   * 12N   * |  0  2
. x4x .       |    8 |    0    8 |   *   *   * 15N |  2  0
--------------+------+-----------+-----------------+------
x3x4x .     &    48 |   24   48 |   8  12   0   6 | 5N  *
x3x . x5*a  &   120 |  120   60 |  20  30  12   0 |  * 2N

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