This regular non-compact hyperbolic tesselation uses the alternated cubic honeycomb in the sense of an infinite horochoron as some of its facets.

Incidence matrix according to Dynkin symbol

 o---o---o 
     |   | 
     x---o

o3o3o3o3x3*b   (N,M → ∞)

. . . . .    | 8NM ♦    30 |    60   30 |   20   20   30   10 |   5  10   5
-------------+-----+-------+------------+---------------------+------------
. . . . x    |   2 | 120NM ♦     4    2 |    2    2    4    1 |   1   2   2
-------------+-----+-------+------------+---------------------+------------
. o . . x3*b |   3 |     3 | 160NM    * |    1    1    1    0 |   1   1   1
. . . o3x    |   3 |     3 |     * 80NM |    0    0    2    1 |   0   1   2
-------------+-----+-------+------------+---------------------+------------
o3o . . x3*b ♦   4 |     6 |     4    0 | 40NM    *    *    * |   1   1   0
. o3o . x3*b ♦   4 |     6 |     4    0 |    * 40NM    *    * |   1   0   1
. o . o3x3*b ♦   6 |    12 |     4    4 |    *    * 40NM    * |   0   1   1
. . o3o3x    ♦   4 |     6 |     0    4 |    *    *    * 20NM |   0   0   2
-------------+-----+-------+------------+---------------------+------------
o3o3o . x3*b ♦   8 |    24 |    32    0 |    8    8    0    0 | 5NM   *   *
o3o . o3x3*b ♦  10 |    30 |    20   10 |    5    0    5    0 |   * 8NM   *
. o3o3o3x3*b ♦   M |    6M |    4M   4M |    0    M    M    M |   *   * 40N