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

Incidence matrix according to Dynkin symbol

x4o3x3o3*b   (N,M → ∞)

. . . .    | 8NM |    3    6 |   3    6   3   3 |  3  1   3  1
-----------+-----+-----------+------------------+-------------
x . . .    |   2 | 12NM    * |   2    2   0   0 |  2  1   1  0
. . x .    |   2 |    * 24NM |   0    1   1   1 |  1  0   1  1
-----------+-----+-----------+------------------+-------------
x4o . .    |   4 |    4    0 | 6NM    *   *   * |  1  1   0  0
x . x .    |   4 |    2    2 |   * 12NM   *   * |  1  0   1  0
. o3x .    |   3 |    0    3 |   *    * 8NM   * |  1  0   0  1
. . x3o    |   3 |    0    3 |   *    *   * 8NM |  0  0   1  1
-----------+-----+-----------+------------------+-------------
x4o3x .    ♦  24 |   24   24 |   6   12   8   0 | NM  *   *  *
x4o . o3*b ♦   8 |   12    0 |   6    0   0   0 |  * NM   *  *
x . x3o    ♦   6 |    3    6 |   0    3   0   2 |  *  * 4NM  *
. o3x3o3*b ♦   M |    0   3M |   0    0   M   M |  *  *   * 8N

snubbed forms: s4o3x3o3*b

x4o3o6s   (N,M → ∞)

demi( . . . . ) | 8NM |    3    6 |   3   3    6   3 |  1   3  1  3
----------------+-----+-----------+------------------+-------------
demi( x . . . ) |   2 | 12NM    * |   2   0    2   0 |  1   1  0  2
sefa( . . o6s ) |   2 |    * 24NM |   0   1    1   1 |  0   1  1  1
----------------+-----+-----------+------------------+-------------
demi( x4o . . ) |   4 |    4    0 | 6NM   *    *   * |  1   0  0  1
      . . o6s   |   3 |    0    3 |   * 8NM    *   * |  0   1  1  0
sefa( x 2 o6s ) |   4 |    2    2 |   *   * 12NM   * |  0   1  0  1
sefa( . o3o6s ) |   3 |    0    3 |   *   *    * 8NM |  0   0  1  1
----------------+-----+-----------+------------------+-------------
demi( x4o3o . ) ♦   8 |   12    0 |   6   0    0   0 | NM   *  *  *
      x 2 o6s   ♦   6 |    3    6 |   0   2    3   0 |  * 4NM  *  *
      . o3o6s   ♦   M |    0   3M |   0   M    0   M |  *   * 8N  *
sefa( x4o3o6s ) ♦  24 |   24   24 |   6   0   12   8 |  *   *  * NM

starting figure: x4o3o6x

6-coloring of edges / 3-coloring of trips   (N,M → ∞)

24NM |    2    2    2    1    1    1 |   1   1   1    2    2    2    3   1   1   1 |   3   1   1   1   1  1
-----+-------------------------------+---------------------------------------------+-----------------------
   2 | 24NM    *    *    *    *    * |   0   0   0    1    0    0    1   1   0   0 |   1   0   1   0   0  1  r
   2 |    * 24NM    *    *    *    * |   0   0   0    0    1    0    1   0   1   0 |   1   0   0   1   0  1  y
   2 |    *    * 24NM    *    *    * |   0   0   0    0    0    1    1   0   0   1 |   1   0   0   0   1  1  b
   2 |    *    *    * 12NM    *    * |   1   1   0    2    0    0    0   0   0   0 |   2   1   1   0   0  0  g
   2 |    *    *    *    * 12NM    * |   1   0   1    0    2    0    0   0   0   0 |   2   1   0   1   0  0  v
   2 |    *    *    *    *    * 12NM |   0   1   1    0    0    2    0   0   0   0 |   2   1   0   0   1  0  o
-----+-------------------------------+---------------------------------------------+-----------------------
   4 |    0    0    0    2    2    0 | 6NM   *   *    *    *    *    *   *   *   * |   1   1   0   0   0  0  gv
   4 |    0    0    0    2    0    2 |   * 6NM   *    *    *    *    *   *   *   * |   1   1   0   0   0  0  go
   4 |    0    0    0    0    2    2 |   *   * 6NM    *    *    *    *   *   *   * |   1   1   0   0   0  0  vo
   4 |    2    0    0    2    0    0 |   *   *   * 12NM    *    *    *   *   *   * |   1   0   1   0   0  0  rg
   4 |    0    2    0    0    2    0 |   *   *   *    * 12NM    *    *   *   *   * |   1   0   0   1   0  0  yv
   4 |    0    0    2    0    0    2 |   *   *   *    *    * 12NM    *   *   *   * |   1   0   0   0   1  0  bo
   3 |    1    1    1    0    0    0 |   *   *   *    *    *    * 24NM   *   *   * |   1   0   0   0   0  1  ryb
   3 |    3    0    0    0    0    0 |   *   *   *    *    *    *    * 8NM   *   * |   0   0   1   0   0  1  r
   3 |    0    3    0    0    0    0 |   *   *   *    *    *    *    *   * 8NM   * |   0   0   0   1   0  1  y
   3 |    0    0    3    0    0    0 |   *   *   *    *    *    *    *   *   * 8NM |   0   0   0   0   1  1  b
-----+-------------------------------+---------------------------------------------+-----------------------
  24 |    8    8    8    8    8    8 |   2   2   2    4    4    4    8   0   0   0 | 3NM   *   *   *   *  *  sirco
   8 |    0    0    0    4    4    4 |   2   2   2    0    0    0    0   0   0   0 |   * 3NM   *   *   *  *  cube
   6 |    6    0    0    3    0    0 |   0   0   0    3    0    0    0   2   0   0 |   *   * 4NM   *   *  *  r-trip
   6 |    0    6    0    0    3    0 |   0   0   0    0    3    0    0   0   2   0 |   *   *   * 4NM   *  *  y-trip
   6 |    0    0    6    0    0    3 |   0   0   0    0    0    3    0   0   0   2 |   *   *   *   * 4NM  *  b-trip
  3M |   3M   3M   3M    0    0    0 |   0   0   0    0    0    0   3M   M   M   M |   *   *   *   *   * 8N  trat