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.
Uniform colors
The half symmetry = can be shown with alternating two colors of hexagons | Dual tiling |
Symmetry
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.
| Type | Reflectional | Rotational |
| Index | 1 | 2 |
| Diagram | ||
| Coxeter | = | + = |
Related tilings
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 hyperbolic tilings:
This hyperbolic tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations, and Coxeter group symmetry.