# Rectified ditrigonary tritetragonal tiling

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Rectified ditrigonary tritetragonal tiling | |
---|---|

Rank | 3 |

Type | Uniform |

Space | Hyperbolic |

Notation | |

Bowers style acronym | Sittitetrat |

Coxeter diagram | x3x3o4*a () |

Elements | |

Faces | 4N triangles, 3N squares, 4N hexagons |

Edges | 12N+12N |

Vertices | 12N |

Vertex figure | Isosceles trapezoid, edge lengths 1, √3, √2, √3 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Sittitetrat |

Regiment | Sittitetrat |

Abstract & topological properties | |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | (4,3,3) |

Convex | Yes |

The **rectified ditrigonary tritetragonal tiling' , **

*shieldotritetragonal tiling*

**,**small tritetatrigonal tiling**,****sittitetrat**, or

**cantic octagonal tiling**is a uniform tiling of the hyperbolic plane. 1 triangle, 1 square, and 2 hexagons join at each vertex.

It is based on the (4,3,3) triangle group.

## Representations[edit | edit source]

This tiling has the following Coxeter diagram representations:

- x3x3o4*a () (rectified ditrigonary tritetragonal tiling)
- s8o3x () (cantic octagonal tiling)

## Related polytopes[edit | edit source]

## External links[edit | edit source]

- Klitzing, Richard. "sittitetrat".

- Wikipedia Contributors. "Cantic octagonal tiling".