This hypercompact hyperbolic tesselation uses the truncated order 8 triangle tiling in the sense of an infinite bollohedron as one of its cell types.

Incidence matrix according to Dynkin symbol

x x3x8o   (N → ∞), height = 1

. . . . | 48N |   1   1   2 |   1   2   2  1 |  2  1 1
--------+-----+-------------+----------------+--------
x . . . |   2 | 24N   *   * |   1   2   0  0 |  2  1 0
. x . . |   2 |   * 24N   * |   1   0   2  0 |  2  0 1
. . x . |   2 |   *   * 48N |   0   1   1  1 |  1  1 1
--------+-----+-------------+----------------+--------
x x . . |   4 |   2   2   0 | 12N   *   *  * |  2  0 0
x . x . |   4 |   2   0   2 |   * 24N   *  * |  1  1 0
. x3x . |   6 |   0   3   3 |   *   * 16N  * |  1  0 1
. . x8o |   8 |   0   0   8 |   *   *   * 6N |  0  1 1
--------+-----+-------------+----------------+--------
x x3x . ♦  12 |   6   6   6 |   3   3   2  0 | 8N  * *
x . x8o ♦  16 |   8   0  16 |   0   8   0  2 |  * 3N *
. x3x8o ♦  24N |   0 12N 24N |   0   0  8N 3N |  *  * 2