This non-compact hyperbolic tesselation uses that and rothat in the sense of an infinite horohedron each as some of its cell types.

Incidence matrix according to Dynkin symbol

x3o6x3o   (N,M,K → ∞)

. . . . | 3NMK |    2    4 |   1    4   2    2 |  2   2  1
--------+------+-----------+-------------------+----------
x . . . |    2 | 3NMK    * |   1    2   0    0 |  2   1  0
. . x . |    2 |    * 6NMK |   0    1   1    1 |  1   1  1
--------+------+-----------+-------------------+----------
x3o . . |    3 |    3    0 | NMK    *   *    * |  2   0  0
x . x . |    4 |    2    2 |   * 3NMK   *    * |  1   1  0
. o6x . |    6 |    0    6 |   *    * NMK    * |  1   0  1
. . x3o |    3 |    0    3 |   *    *   * 2NMK |  0   1  1
--------+------+-----------+-------------------+----------
x3o6x . ♦   6M |   6M   6M |  2M   3M   M    0 | NK   *  *
x . x3o ♦    6 |    3    6 |   0    3   0    2 |  * NMK  *
. o6x3o ♦   3K |    0   6K |   0    0   K   2K |  *   * NM