This non-compact but still uniform hyperbolic honeycomb uses the squat in the sense of an infinite horohedron as some of its cells.

Incidence matrix according to Dynkin symbol

x3o4s4o

demi( . . . . ) | 6NM |   2   2   2 |   1   2   4   4 |  2  1   4
----------------+-----+-------------+-----------------+----------
demi( x . . . ) |   2 | 6NM   *   * |   1   1   2   0 |  2  0   2
      . o4s .   |   2 |   * 6NM   * |   0   0   2   2 |  1  1   2
      . . s4o   |   2 |   *   * 6NM |   0   1   0   2 |  0  1   2
----------------+-----+-------------+-----------------+----------
demi( x3o . . ) |   3 |   3   0   0 | 2NM   *   *   * |  2  0   0
      x 2 s4o   |   4 |   2   0   2 |   * 3NM   *   * |  0  0   2
sefa( x3o4s . ) |   6 |   3   3   0 |   *   * 4NM   * |  1  0   1
sefa( . o4s4o ) |   4 |   0   2   2 |   *   *   * 6NM |  0  1   1
----------------+-----+-------------+-----------------+----------
      x3o4s .   ♦  12 |  12   6   0 |   4   0   4   0 | NM  *   *
      . o4s4o   ♦   M |   0   M   M |   0   0   0   M |  * 6N   *
sefa( x3o4s4o ) ♦  12 |   6   6   6 |   0   3   2   3 |  *  * 2NM

starting figure: x3o4x4o