This non-compact hyperbolic tesselation uses squat in the sense of an infinite horohedron as one of its cell types.

Incidence matrix according to Dynkin symbol

o3xØx3*a3xØx3*a   (N,M → ∞)

. . .    . .    | 12NM ♦    2    2    2    2 |   1   1   1   1   2   2   2   2 |  1  1  1  1  2
----------------+------+---------------------+---------------------------------+---------------
. x .    . .    |    2 | 12NM    *    *    * |   1   0   0   0   1   1   0   0 |  1  1  0  0  1
. . x    . .    |    2 |    * 12NM    *    * |   0   1   0   0   0   0   1   1 |  0  0  1  1  1
. . .    x .    |    2 |    *    * 12NM    * |   0   0   1   0   1   0   1   0 |  1  0  1  0  1
. . .    . x    |    2 |    *    *    * 12NM |   0   0   0   1   0   1   0   1 |  0  1  0  1  1
----------------+------+---------------------+---------------------------------+---------------
o3x .    . .    |    3 |    3    0    0    0 | 4NM   *   *   *   *   *   *   * |  1  1  0  0  0
o . x3*a . .    |    3 |    0    3    0    0 |   * 4NM   *   *   *   *   *   * |  0  0  1  1  0
o . . *a3x .    |    3 |    0    0    3    0 |   *   * 4NM   *   *   *   *   * |  1  0  1  0  0
o . .    . x3*a |    3 |    0    0    0    3 |   *   *   * 4NM   *   *   *   * |  0  1  0  1  0
. x .    x .    |    4 |    2    0    2    0 |   *   *   *   * 6NM   *   *   * |  1  0  0  0  1
. x .    . x    |    4 |    2    0    0    2 |   *   *   *   *   * 6NM   *   * |  0  1  0  0  1
. . x    x .    |    4 |    0    2    2    0 |   *   *   *   *   *   * 6NM   * |  0  0  1  0  1
. . x    . x    |    4 |    0    2    0    2 |   *   *   *   *   *   *   * 6NM |  0  0  0  1  1
----------------+------+---------------------+---------------------------------+---------------
o3x . *a3x .    ♦   12 |   12    0   12    0 |   4   0   4   0   6   0   0   0 | NM  *  *  *  *
o3x .    . x3*a ♦   12 |   12    0    0   12 |   4   0   0   4   0   6   0   0 |  * NM  *  *  *
o . x3*a3x .    ♦   12 |    0   12   12    0 |   0   4   4   0   0   0   6   0 |  *  * NM  *  *
o . x3*a . x3*a ♦   12 |    0   12    0   12 |   0   4   0   4   0   0   0   6 |  *  *  * NM  *
. xØx    xØx    ♦   4M |   2M   2M   2M   2M |   0   0   0   0   M   M   M   M |  *  *  *  * 6N