[1] It can be considered a cantellated by Norman Johnson's terminology or an expanded hexagonal tiling by Alicia Boole Stott's operational language.

With edge-colorings there is a half symmetry form (3*3) orbifold notation.

The hexagons can be considered as truncated triangles, t{3} with two types of edges.

[2][3] The rhombitrihexagonal tiling is also related to the truncated trihexagonal tiling by replacing some of the hexagons and surrounding squares and triangles with dodecagons: The rhombitrihexagonal tiling can be used as a circle packing, placing equal diameter circles at the center of every point.

[4] The translational lattice domain (red rhombus) contains six distinct circles.

This tiling has face transitive variations, that can distort the kites into bilateral trapezoids or more general quadrilaterals.

Ignoring the face colors below, the fully symmetry is p6m, and the lower symmetry is p31m with three mirrors meeting at a point, and threefold rotation points.

Point symmetry allows the plane to be filled by growing kites, with the topology as a square tiling, V4.4.4.4, and can be created by crossing string of a dream catcher.