Trihexagonal tiling

The trihexagonal tiling, or that, is one of the eight convex uniform tilings of the Euclidean plane. 2 hexagons and 2 triangles join at each vertex of this tiling. It can be formed from the rectification of either the triangular tiling or its dual hexagonal tiling.

Vertex coordinates
The vertices of a trihexagonal tiling of edge length 1 are given by:


 * ($\sqrt{3}$i, i+2j+1)
 * ($\sqrt{3}$i+$\sqrt{3}$/2, j+1/2)

Where i and j are integers.

Representations
A trihexagonal tiling has the following Coxeter diagrams:


 * o6x3o (full symmetry)
 * x3x3o3*a (P3 symmetry, triangles of two types)
 * s6x3o (as alternated faceting)
 * s6o3x