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This non-compact hyperbolic tesselation uses the euclidean tiling trat in the sense of an infinite horohedron as cell.

Incidence matrix according to Dynkin symbol

o5o3x3o3*b   (N,M → ∞)

. . . .    | NM ♦   60 |   60   30 | 12  20
-----------+----+------+-----------+-------
. . x .    |  2 | 30NM |    2    1 |  1   2
-----------+----+------+-----------+-------
. o3x .    |  3 |    3 | 20NM    * |  1   1
. . x3o    |  3 |    3 |    * 10NM |  0   2
-----------+----+------+-----------+-------
o5o3x .    ♦ 12 |   30 |   20    0 | NM   *
. o3x3o3*b ♦  M |   3M |    M    M |  * 20N

o5o3o6s   (N,M → ∞)

demi( . . . . ) | NM ♦   60 |   30   60 |  20 12
----------------+----+------+-----------+-------
sefa( . . o6s ) |  2 | 30NM |    1    2 |   2  1
----------------+----+------+-----------+-------
      . . o6s   |  3 |    3 | 10NM    * |   2  0
sefa( . o3o6s ) |  3 |    3 |    * 20NM |   1  1
----------------+----+------+-----------+-------
      . o3o6s   ♦  M |   3M |    M    M | 20N  *
sefa( o5o3o6s ) ♦ 12 |   30 |    0   20 |   * NM

starting figure: o5o3o6x