Acronym chatit
Name complexitrihexagonal tiling
Vertex figure [(3/2,6)6]

Looks like the compound of 3 mutually shifted hexats plus trat. (If furthermore all edge sequences would be outlined by additional double covers of aze, then this would result in chata.)

Dissociating this complexified tiling differently it might be looked at as a compound of 3 at a vertex mutually gyrated thats, where the vertices become identified but not so the edges. (Note that there will be a different non-Grünbaumian compound of 3 thats as well, where the centers of 2 dual triangles and an hexagon would coincide.)


Incidence matrix according to Dynkin symbol

x3o6o6/5*a   (N → ∞)

. . .      | N | 12 |  6 6
-----------+---+----+-----
. x .      | 2 | 6N |  1 1
-----------+---+----+-----
o3x .      | 3 |  3 | 2N *
. x6o      | 6 |  6 |  * N

x3o6/5o6*a   (N → ∞)

. .   .    | N | 12 |  6 6
-----------+---+----+-----
. x   .    | 2 | 6N |  1 1
-----------+---+----+-----
o3x   .    | 3 |  3 | 2N *
. x6/5o    | 6 |  6 |  * N

x3/2o6o6/5*a   (N → ∞)

.   . .    | N | 12 |  6 6
-----------+---+----+-----
x   . .    | 2 | 6N |  1 1
-----------+---+----+-----
x3/2o .    | 3 |  3 | 2N *
x   . o6*a | 6 |  6 |  * N

x3/2o6/5o6/5*a   (N → ∞)

.   .   .      | N | 12 |  6 6
---------------+---+----+-----
x   .   .      | 2 | 6N |  1 1
---------------+---+----+-----
x3/2o   .      | 3 |  3 | 2N *
x   .   o6/5*a | 6 |  6 |  * N

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