This non-compact hyperbolic tesselation uses the euclidean tiling that in the sense of an infinite horohedron as cell.

Incidence matrix according to Dynkin symbol

o4o3x3x3*b   (N,M → ∞)

. . . .    | 6NM |    4    4 |   4   4   4 |  1  1  4
-----------+-----+-----------+-------------+---------
. . x .    |   2 | 12NM    * |   2   0   1 |  1  0  2
. . . x    |   2 |    * 12NM |   0   2   1 |  0  1  2
-----------+-----+-----------+-------------+---------
. o3x .    |   3 |    3    0 | 8NM   *   * |  1  0  1
. o . x3*b |   3 |    0    3 |   * 8NM   * |  0  1  1
. . x3x    |   6 |    3    3 |   *   * 4NM |  0  0  2
-----------+-----+-----------+-------------+---------
o4o3x .    ♦   6 |   12    0 |   8   0   0 | NM  *  * oct
o4o . x3*b ♦   6 |    0   12 |   0   8   0 |  * NM  * oct
. o3x3x3*b ♦  3M |   3M   3M |   M   M   M |  *  * 8N that

or
. . . .     | 3NM |    8 |   8   4 |  2  4
------------+-----+------+---------+------
. . x .   & |   2 | 12NM |   2   1 |  1  2
------------+-----+------+---------+------
. o3x .   & |   3 |    3 | 8NM   * |  1  1
. . x3x     |   6 |    6 |   * 2NM |  0  2
------------+-----+------+---------+------
o4o3x .   & ♦   6 |   12 |   8   0 | NM  * oct
. o3x3x3*b  ♦  3M |   6M |  2M   M |  * 4N that

o4o3x3x3*b = patac-x4o3x3x3*b   (N,M → ∞)
(|g|→0 & |v|→0 & |o|→0, i.e.: |gy|→0 & |gb|→0 & |vr|→0 & |vb|→0 & |or|→0 & |oy|→0)

3NM   *   * |    4    4    0 |   2   2    8   0 |   2  4  ry
  * 3NM   * |    4    0    4 |   2   0    8   2 |   2  4  rb
  *   * 3NM |    0    4    4 |   0   2    8   2 |   2  4  yb
------------+----------------+------------------+-------
  1   1   0 | 12NM    *    * |   1   0    2   0 |   1  2  r
  1   0   1 |    * 12NM    * |   0   1    2   0 |   1  2  y
  0   1   1 |    *    * 12NM |   0   0    2   1 |   1  2  b
------------+----------------+------------------+-------
  3   3   0 |    6    0    0 | 2NM   *    *   * |   0  2  r
  3   0   3 |    0    6    0 |   * 2NM    *   * |   0  2  y
  1   1   1 |    1    1    1 |   *   * 24NM   * |   1  1  ryb
  0   3   3 |    0    0    6 |   *   *    * 2NM |   0  2  b
------------+----------------+------------------+-------
  2   2   2 |    4    4    4 |   0   0    8   0 | 3NM  *  oct
 3M  3M  3M |   6M   6M   6M |   M   M   6M   M |   * 4N  that