The trihexagonal tiling has Schläfli symbol of r{6,3}, or Coxeter diagram, , symbolizing the fact that it is a rectified hexagonal tiling, {6,3}. Its symmetries can be described by the wallpaper group p6mm, (*632), and the tiling can be derived as a Wythoff construction within the reflectional fundamental domains of this group.  The trihexagonal tiling is a quasiregular tiling, alternating two types of polygons, with vertex configuration (3.6). It is also a uniform tiling, one of eight derived from the regular hexagonal tiling.