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This hypercompact hyperbolic tesselation uses the order 8 square tiling in the sense of an infinite bollohedron as cell.

Incidence matrix according to Dynkin symbol

o3o4x4o4*b   (N,M → ∞)

. . . .    | NM ♦   24 |  24  12 |  8  6
-----------+----+------+---------+------
. . x .    |  2 | 12NM |   2   1 |  1  2
-----------+----+------+---------+------
. o4x .    |  4 |    4 | 6NM   * |  1  1
. . x4o    |  4 |    4 |   * 3NM |  0  2
-----------+----+------+---------+------
o3o4x .    ♦  8 |   12 |   6   0 | NM  *
. o4x4o4*b ♦  M |   4M |   M   M |  * 6N

o3o4o8s   (N,M → ∞)

demi( . . . . ) | NM ♦   24 |  12  24 |  6  8
----------------+----+------+---------+------
sefa( . . o8s ) |  2 | 12NM |   1   2 |  2  1
----------------+----+------+---------+------
      . . o8s   |  4 |    4 | 3NM   * |  2  0
sefa( . o4o8s ) |  4 |    4 |   * 6NM |  1  1
----------------+----+------+---------+------
      . o4o8s   ♦  M |   4M |   M   M | 6N  *
sefa( o3o4o8s ) ♦  8 |   12 |   0   6 |  * NM

starting figure: o3o4o8x