Acronym  ... 
Name  2that (?) 
Vertex figure  2[(6/2,6)^{2}] 
Confer 

Looks like 2 coincident triangularhexagonal tilings (that), and indeed vertices, edges, and {6} all coincide by pairs.
Incidence matrix according to Dynkin symbol
β3x6o (N → ∞) both( . . . )  6N  2 2  2 1 1 +++ both( . x . )  2  6N *  1 1 0 sefa( β3x . )  2  * 6N  1 0 1 +++ β3x . ♦ 6  3 3  2N * * both( . x6o )  6  6 0  * N * sefa( β3x6o )  6  0 6  * * N starting figure: x3x6o
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