This hypercompact hyperbolic tesselation uses the order 3 octagon tiling and the order 4 octagon tiling in the sense of infinite bollohedra as its cell types.

Incidence matrix according to Dynkin symbol

x8o4o *b3o   (N,M,K → ∞)

. . .    . | NMK ♦   12 |   24 |   6  8
-----------+-----+------+------+-------
x . .    . |   2 | 6NMK |    4 |   2  2
-----------+-----+------+------+-------
x8o .    . |   8 |    8 | 3NMK |   1  1
-----------+-----+------+------+-------
x8o4o    . ♦  2M |   4M |    M | 3NK  *
x8o . *b3o ♦  8K |  12K |   3K |   * NM