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This hypercompact hyperbolic tesselation uses the order 10 pentagon tiling in the sense of an infinite bollohedron as cell.

Incidence matrix according to Dynkin symbol

o3o5x5o5*b   (N,M → ∞)

. . . .    | NM ♦   60 |   60  30 | 20  12
-----------+----+------+----------+-------
. . x .    |  2 | 30NM |    2   1 |  1   2
-----------+----+------+----------+-------
. o5x .    |  4 |    4 | 12NM   * |  1   1
. . x5o    |  4 |    4 |    * 6NM |  0   2
-----------+----+------+----------+-------
o3o5x .    ♦ 20 |   30 |   12   0 | NM   *
. o5x5o5*b ♦  M |   5M |    M   M |  * 12N

o3o5o10s   (N,M → ∞)

demi( . . .  . ) | NM ♦   60 |  30   60 |  12 20
-----------------+----+------+----------+-------
sefa( . . o10s ) |  2 | 30NM |   1    2 |   2  1
-----------------+----+------+----------+-------
      . . o10s   |  4 |    4 | 6NM    * |   2  0
sefa( . o5o10s ) |  4 |    4 |   * 12NM |   1  1
-----------------+----+------+----------+-------
      . o5o10s   ♦  M |   5M |   M    M | 12N  *
sefa( o3o5o10s ) ♦ 20 |   30 |   0   12 |   * NM

starting figure: o3o5o10x