Truncated octagonal tiling

Truncated octagonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration3.16.16
Schläfli symbolt{8,3}
Wythoff symbol2 3 | 8
Coxeter diagram
Symmetry group[8,3], (*832)
DualOrder-8 triakis triangular tiling
PropertiesVertex-transitive

In geometry, the Truncated octagonal tiling is a semiregular tiling of the hyperbolic plane. There is one triangle and two hexakaidecagons on each vertex. It has Schläfli symbol of t{8,3}.

Dual tiling

The dual tiling has face configuration V3.16.16.

Related polyhedra and tilings

This hyperbolic tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (3.2n.2n), and [n,3] Coxeter group symmetry.

From a Wythoff construction there are ten hyperbolic uniform tilings that can be based from the regular octagonal tiling.

Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 8 forms.

See also

Wikimedia Commons has media related to Uniform tiling 3-16-16.

References

External links

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