# Elongated triangular tiling prism

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Elongated triangular tiling prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Euclidean |

Elements | |

Cells | ∞ triangular prisms, ∞ cubes, 2 elongated triangular tilings |

Faces | ∞ triangles, ∞+∞ squares |

Edges | ∞+∞+∞+∞ |

Vertices | ∞ |

Vertex figure | Irregular pentagonal pyramid |

Related polytopes | |

Army | Elongated triangular tiling prism |

Regiment | Elongated triangular tiling prism |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | (W_{2}❘W_{2}+)×A_{1} |

Convex | Yes |

Nature | Tame |

The **elongated triangular tiling prism** is a prismatic uniform honeycomb of the Euclidean plane. It consists of 2 elongated triangular tilings, ∞ triangular prisms, and ∞ cubes. Each vertex joins 1 elongated triangular tiling, 3 triangular prisms, and 2 cubes. It is a prism based on the elongated triangular tiling.

## Vertex coordinates[edit | edit source]

A elongated triangular 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".