Truncated order-8 triangular tiling

In geometry, the truncated order-8 triangular tiling is a semiregular tiling of the hyperbolic plane. There are two hexagons and one octagon on each vertex. It has Schläfli symbol of t{3,8}. The dual of this tiling represents the fundamental domains of *443 symmetry. It only has one subgroup 443, replacing mirrors with gyration points. This symmetry can be doubled to 832 symmetry by adding a bisecting mirror to the fundamental domain. From a Wythoff construction there are ten hyperbolic uniform tilings that can be based from the regular octagonal tiling. It can also be generated from the (4 3 3) hyperbolic tilings: This hyperbolic tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (n.6.6), and [n,3] Coxeter group symmetry.