This regular hypercompact hyperbolic tesselation uses the order 4 octagonal tiling in the sense of an infinite bollohedron as its only cell type.

Incidence matrix according to Dynkin symbol

o3o4o8x   (N,M → ∞)

. . . . | 2NM ♦   8 |  12 |  6
--------+-----+-----+-----+---
. . . x |   2 | 8NM |   3 |  3
--------+-----+-----+-----+---
. . o8x |   8 |   8 | 3NM |  2
--------+-----+-----+-----+---
. o4o8x ♦  2M |  4M |   M | 6N

snubbed forms: o3o4o8s