Truncated order-4 hexagonal tiling

A secondary construction tr{6,6} is called a truncated hexahexagonal tiling with two colors of dodecagons.

There are two uniform constructions of this tiling, first from [6,4] kaleidoscope, and a lower symmetry by removing the last mirror, [6,4,1+], gives [6,6], (*662).

The dual of the tiling represents the fundamental domains of (*662) orbifold symmetry.

From [6,6] (*662) symmetry, there are 15 small index subgroup (12 unique) by mirror removal and alternation operators.

Larger subgroup constructed as [6,6*], removing the gyration points of (6*3), index 12 becomes (*333333).