©
((Qo oq4xx))&#zh, where Q = 2q (pseudo)

This paracompact hyperbolic tesselation uses that in the sense of an infinite horohedron as one of its cell types.

Incidence matrix according to Dynkin symbol

lamina-trunc( o3x3x4o4*a3*c )   (N,M → ∞)

. . . .       | 3NM ♦    8    8 |   8   4  16   4 |  8  2  8
--------------+-----+-----------+-----------------+---------
. x . .       |   2 | 12NM    * |   2   0   2   0 |  2  1  1
. . x .       |   2 |    * 12NM |   0   1   2   1 |  2  0  2
--------------+-----+-----------+-----------------+---------
o3x . .       |   3 |    3    0 | 8NM   *   *   * |  1  1  0
o . x . *a3*c |   3 |    0    3 |   * 4NM   *   * |  2  0  0
. x3x .       |   6 |    3    3 |   *   * 8NM   * |  1  0  1
. . x4o       |   4 |    0    4 |   *   *   * 3NM |  0  0  2
--------------+-----+-----------+-----------------+---------
o3x3x . *a3*c ♦  3M |   3M   3M |   M   M   M   0 | 8N  *  *
o3x . o4*a    ♦   6 |   12    0 |   8   0   0   0 |  * NM  *
. x3x4o       ♦  24 |   12   24 |   0   0   8   6 |  *  * NM