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

o3o3o4x4*a   (N,M → ∞)

. . . .    | 2NM ♦   12 |  12  12 |  4  6  4
-----------+-----+------+---------+---------
. . . x    |   2 | 12NM |   2   2 |  1  2  1
-----------+-----+------+---------+---------
o . . x4*a |   4 |    4 | 6NM   * |  1  1  0
. . o4x    |   4 |    4 |   * 6NM |  0  1  1
-----------+-----+------+---------+---------
o3o . x4*a ♦   8 |   12 |   6   0 | NM  *  *
o . o4x4*a ♦  2M |   4M |   M   M |  * 6N  *
. o3o4x    ♦   8 |   12 |   0   6 |  *  * NM

snubbed forms: o3o3o4s4*a