Conway calls it a snub hextille, constructed as a snub operation applied to a hexagonal tiling (hextille).
There is only one uniform coloring of a snub trihexagonal tiling.
[1] The lattice domain (red rhombus) repeats 6 distinct circles.
The hexagonal gaps can be filled by exactly one circle, leading to the densest packing from the triangular tiling.
These figures and their duals have (n32) rotational symmetry, being in the Euclidean plane for n=6, and hyperbolic plane for any higher n. The series can be considered to begin with n=2, with one set of faces degenerated into digons.
Its six pentagonal tiles radiate out from a central point, like petals on a flower.
The floret pentagonal tiling has geometric variations with unequal edge lengths and rotational symmetry, which is given as monohedral pentagonal tiling type 5.
In one limit, an edge-length goes to zero and it becomes a deltoidal trihexagonal tiling.
In each fractal tiling, every vertex in a floret pentagonal domain is in a different orbit since there is no chiral symmetry (the domains have 3:2 side lengths of