This hypercompact hyperbolic tesselation uses pepats in the sense of an infinite bollohedron for some of its cells.

Incidence matrix according to Dynkin symbol

x3o3o5o5*a   (N,M → ∞)

. . . .    | NM ♦   60 |   60   60 |  20 30 12
-----------+----+------+-----------+----------
x . . .    |  2 | 30NM |    2    2 |   1  2  1
-----------+----+------+-----------+----------
x3o . .    |  3 |    3 | 20NM    * |   1  1  0
x . . o5*a |  5 |    5 |    * 12NM |   0  1  1
-----------+----+------+-----------+----------
x3o3o .    ♦  4 |    6 |    4    0 | 5NM  *  *
x3o . o5*a ♦ 30 |   60 |   20   12 |   * NM  *
x . o5o5*a ♦ 2M |   5M |    0   2M |   *  * 6N