This regular hypercompact hyperbolic tesselation uses the order 5 decagonal tiling in the sense of an infinite bollohedron as its only cell type.

Incidence matrix according to Dynkin symbol

o3o5o10x   (N,M → ∞)

. . .  . | NM ♦   20 |  30 | 12
---------+----+------+-----+---
. . .  x |  2 | 10NM |   3 |  3
---------+----+------+-----+---
. . o10x | 10 |   10 | 3NM |  2
---------+----+------+-----+---
. o5o10x ♦ 2M |   5M |   M | 6N

snubbed forms: o3o5o10s