This hypercompact hyperbolic tesselation uses tehat in the sense of an infinite bollohedron as one of its cell types.

Incidence matrix according to Dynkin symbol

o3x3x4o4*b   (N,M → ∞)

. . . .    | 12NM |    4    2 |   2   4   2   1 |   2  1  2
-----------+------+-----------+-----------------+----------
. x . .    |    2 | 24NM    * |   1   1   1   0 |   1  1  1
. . x .    |    2 |    * 12NM |   0   2   0   1 |   1  0  2
-----------+------+-----------+-----------------+----------
o3x . .    |    3 |    3    0 | 8NM   *   *   * |   1  1  0
. x3x .    |    6 |    3    3 |   * 8NM   *   * |   1  0  1
. x . o4*b |    4 |    4    0 |   *   * 6NM   * |   0  1  1
. . x4o    |    4 |    0    4 |   *   *   * 3NM |   0  0  2
-----------+------+-----------+-----------------+----------
o3x3x .    ♦   12 |   12    6 |   4   4   0   0 | 2NM  *  *
o3x . o4*b ♦   12 |   24    0 |   8   0   6   0 |   * NM  *
. x3x4o4*b ♦  12M |  12M  12M |   0  4M  3M  3M |   *  * 2N

rect( o3o3o4x4*b )   (N,M → ∞)

mids( . . . x    ) | 12NM |    4    2 |   2   1   2   4 |  1  2   2
-------------------+------+-----------+-----------------+----------
verf( . o . x4*b ) |    2 | 24NM    * |   1   0   1   1 |  1  1   1
verf( . . o4x    ) |    2 |    * 12NM |   0   1   0   2 |  0  2   1
-------------------+------+-----------+-----------------+----------
rect( . o . x4*b ) |    4 |    4    0 | 6NM   *   *   * |  1  1   0
rect( . . o4x    ) |    4 |    0    4 |   * 3NM   *   * |  0  2   0
verf( o3o . x4*b ) |    3 |    3    0 |   *   * 8NM   * |  1  0   1
verf( . o3o4x4*b ) |    6 |    3    3 |   *   *   * 8NM |  0  1   1
-------------------+------+-----------+-----------------+----------
rect( o3o . x4*b ) ♦   12 |   24    0 |   6   0   8   0 | NM  *   *
rect( . o3o4x4*b ) ♦  12M |  12M  12M |  3M  3M   0  4M |  * 2N   *
verf( o3o3o4x4*b ) ♦   12 |   12    6 |   0   0   4   4 |  *  * 2NM