# Truncated square tiling prism

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Truncated square tiling prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Euclidean |

Notation | |

Coxeter diagram | |

Elements | |

Cells | ∞ cubes, ∞ octagonal prisms, 2 truncated square tilings |

Faces | ∞+∞ squares, ∞ octagons |

Edges | ∞+∞+∞ |

Vertices | ∞ |

Vertex figure | Sphenoid |

Related polytopes | |

Army | * |

Regiment | * |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | R3×A1 |

Convex | Yes |

Nature | Tame |

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

## External links[edit | edit source]

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