# Trihexagonal tiling prism

Trihexagonal tiling prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Euclidean |

Notation | |

Coxeter diagram | o6x3o2x () |

Elements | |

Cells | ∞ triangular prisms, ∞ hexagonal prisms, 2 trihexagonal tilings |

Faces | ∞ triangles, ∞ squares, ∞ hexagons |

Edges | ∞+∞ |

Vertices | ∞ |

Vertex figure | Rectangular pyramid |

Related polytopes | |

Army | Trihexagonal tiling prism |

Regiment | Trihexagonal tiling prism |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | V_{3}×A_{1} |

Convex | Yes |

Nature | Tame |

The **trihexagonal tiling prism** is a prismatic uniform honeycomb of the Euclidean plane. It consists of 2 trihexagonal tilings, ∞ triangular prisms, and ∞ hexagonal prisms. Each vertex joins 1 trihexagonal tiling, 2 triangular prisms, and 2 hexagonal prisms. It is a prism based on the trihexagonal tiling.

## Vertex coordinates[edit | edit source]

A trihexagonal tiling prism of edge length 1 has vertex coordinates given by, where range over the integers:

- ,
- .

## External links[edit | edit source]

- Wikipedia contributors. "Convex uniform honeycomb#Frieze forms".