Acronym snasquat
Name snub square tiling
 
 ©
Vertex figure [3,3,4,3,4]
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Incidence matrix according to Dynkin symbol

s4s4s   (N → ∞)

demi( . . . ) | 4N |  1  2  2 | 1 1  3
--------------+----+----------+-------
      s 2 s     2 | 2N  *  * | 0 0  2
sefa( s4s . ) |  2 |  * 4N  * | 1 0  1
sefa( . s4s ) |  2 |  *  * 4N | 0 1  1
--------------+----+----------+-------
      s4s .     4 |  0  4  0 | N *  *
      . s4s     4 |  0  0  4 | * N  *
sefa( s4s4s ) |  3 |  1  1  1 | * * 4N

starting figure: x4x4x

s4s4o   (N → ∞)

demi( . . . ) | 2N | 1  4 | 2  3
--------------+----+------+-----
      . s4o     2 | N  * | 0  2
sefa( s4s . ) |  2 | * 4N | 1  1
--------------+----+------+-----
      s4s .     4 | 0  4 | N  *
sefa( s4s4o ) |  3 | 1  2 | * 2N

starting figure: x4x4o

s4o4s'   (N → ∞)
(x4o4x -s--> s4o4x  : . o4x alternated)
(s4o4x -s'-> s4o4s' : . o . alternated)

demi( demi( . . . ) ) | 2N | 1  4 | 2  3
----------------------+----+------+-----
snub( demi( . o4x ) ) |  2 | N  * | 0  2
sefa( sefa( s4o4x ) ) |  2 | * 4N | 1  1
----------------------+----+------+-----
snub( sefa( s4o4x ) ) |  4 | 0  4 | N  *
sefa(       s4o4s'  ) |  3 | 1  2 | * 2N

starting figure: s4o4x

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