Acronym ...
Name hyperbolic snub pentapentagonal tiling
 
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Vertex figure [32,5,3,5]
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Incidence matrix according to Dynkin symbol

s5s5s   (N → ∞)

demi( . . . ) | 10N |  1   2   2 |  1  1   3
--------------+-----+------------+----------
      s 2 s      2 | 5N   *   * |  0  0   2
sefa( s5s . ) |   2 |  * 10N   * |  1  0   1
sefa( . s5s ) |   2 |  *   * 10N |  0  1   1
--------------+-----+------------+----------
      s5s .      5 |  0   5   0 | 2N  *   *
      . s5s      5 |  0   0   5 |  * 2N   *
sefa( s5s5s ) |   3 |  1   1   1 |  *  * 10N
or
demi( . . . )    | 10N |  1   4 |  2   3
-----------------+-----+--------+-------
      s 2 s         2 | 5N   * |  0   2
sefa( s5s . )  & |   2 |  * 20N |  1   1
-----------------+-----+--------+-------
      s5s .    &    5 |  0   5 | 4N   *
sefa( s5s5s )    |   3 |  1   2 |  * 10N

starting figure: x5x5x

o4s5s   (N → ∞)

demi( . . . ) | 10N |  1   4 |  2   3
--------------+-----+--------+-------
      o4s .      2 | 5N   * |  0   2
sefa( . s5s ) |   2 |  * 20N |  1   1
--------------+-----+--------+-------
      . s5s      5 |  0   5 | 4N   *
sefa( o4s5s ) |   3 |  1   2 |  * 10N

starting figure: o4x5x

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