Acronym ...
Name hyperbolic snub di-horocyclic tiling
Vertex figure [32,∞,3,∞]

Incidence matrix according to Dynkin symbol

s∞s∞s   (N,M → ∞)

demi( . . . ) | 2NM |  1   2   2 |  1  1   3
--------------+-----+------------+----------
      s 2 s      2 | NM   *   * |  0  0   2
sefa( s∞s . ) |   2 |  * 2NM   * |  1  0   1
sefa( . s∞s ) |   2 |  *   * 2NM |  0  1   1
--------------+-----+------------+----------
      s∞s .      M |  0   M   0 | 2N  *   *
      . s∞s      M |  0   0   M |  * 2N   *
sefa( s∞s∞s ) |   3 |  1   1   1 |  *  * 2NM
or
demi( . . . )    | 2NM |  1   4 |  2   3
-----------------+-----+--------+-------
      s 2 s         2 | NM   * |  0   2
sefa( s∞s . )  & |   2 |  * 4NM |  1   1
-----------------+-----+--------+-------
      s∞s .    &    M |  0   M | 4N   *
sefa( s∞s∞s )    |   3 |  1   2 |  * 2NM

starting figure: x∞x∞x

o4s∞s   (N,M → ∞)

demi( . . . ) | 2NM |  1   4 |  2   3
--------------+-----+--------+-------
      o4s .      2 | NM   * |  0   2
sefa( . s∞s ) |   2 |  * 4NM |  1   1
--------------+-----+--------+-------
      . s∞s      M |  0   M | 4N   *
sefa( o4s∞s ) |   3 |  1   2 |  * 2NM

starting figure: o4x∞x

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