This non-compact hyperbolic tesselation uses the euclidean tiling that in the sense of an infinite horohedron as one type of cells.

Incidence matrix according to Dynkin symbol

o3x3x3o3*b   (N,M → ∞)

. . . .    | 6NM |    4   2 |   2   4   2   1 |  2  1  2
-----------+-----+----------+-----------------+---------
. x . .    |   2 | 12NM   * |   1   1   1   0 |  1  1  1
. . x .    |   2 |    * 6NM |   0   2   0   1 |  1  0  2
-----------+-----+----------+-----------------+---------
o3x . .    |   3 |    3   0 | 4NM   *   *   * |  1  1  0
. x3x .    |   6 |    3   3 |   * 4NM   *   * |  1  0  1
. x . o3*b |   3 |    3   0 |   *   * 4NM   * |  0  1  1
. . x3o    |   3 |    0   3 |   *   *   * 2NM |  0  0  2
-----------+-----+----------+-----------------+---------
o3x3x .    ♦  12 |   12   6 |   4   4   0   0 | NM  *  *
o3x . o3*b ♦   6 |   12   0 |   4   0   4   0 |  * NM  *
. x3x3o3*b ♦  3M |   3M  3M |   0   M   M   M |  *  * 4N