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

Incidence matrix according to Dynkin symbol

s3s4o4o   (N,M → ∞)

demi( . . . . ) | 3NM |   4    8 |   4   12   4 |  4  1   5
----------------+-----+----------+--------------+----------
      . s4o .   |   2 | 6NM    * |   0    2   2 |  1  1   2
sefa( s3s . . ) |   2 |   * 12NM |   1    2   0 |  2  0   1
----------------+-----+----------+--------------+----------
      s3s . .   |   3 |   0    3 | 4NM    *   * |  2  0   0
sefa( s3s4o . ) |   3 |   1    2 |   * 12NM   * |  1  0   1
sefa( . s4o4o ) |   4 |   4    0 |   *    * 3NM |  0  1   1
----------------+-----+----------+--------------+----------
      s3s4o .   ♦  12 |   6   24 |   8   12   0 | NM  *   *
      . s4o4o   ♦   M |  2M    0 |   0    0   M |  * 3N   *
sefa( s3s4o4o ) ♦   5 |   4    4 |   0    4   1 |  *  * 3NM

starting figure: x3x4o4o