# Ditrigonary tritetragonal tiling

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Ditrigonary tritetragonal tiling | |
---|---|

Rank | 3 |

Type | Uniform |

Space | Hyperbolic |

Notation | |

Bowers style acronym | Dittitecat |

Coxeter diagram | x3o3o4*a () |

Elements | |

Faces | 4N triangles, 3N squares |

Edges | 12N |

Vertices | 4N |

Vertex figure | Ditrigon, edge lengths 1 and √2 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Dittiticat |

Regiment | Dittiticat |

Abstract & topological properties | |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | (4,3,3) |

Convex | Yes |

The **ditrigonary tritetragonal tiling** or **dittitecat** is a uniform tiling of the hyperbolic plane. 3 triangles and 3 squares join at each vertex.

It is also called the **alternated octagonal tiling**, as it can be formed by alternation of the octagonal tiling.

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

## Representations[edit | edit source]

A ditrigonary tritetragonal tiling has the following Coxeter diagrams:

- x3o3o4*a (full symmery)
- s8o3o (as alternated octagonal tiling)
- o8s4s
- s4s4s4*a

## Related polytopes[edit | edit source]

## External links[edit | edit source]

- Klitzing, Richard. "dittitecat".

- Wikipedia Contributors. "Alternated octagonal tiling".