# Square tiling antiprism

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Square tiling antiprism | |
---|---|

Rank | 4 |

Type | Scaliform |

Space | Euclidean |

Notation | |

Coxeter diagram | |

Elements | |

Cells | 2 square tilings square pyramids tetrahedra |

Faces | squares triangles |

Vertex figure | Square antipodium |

Related polytopes | |

Army | * |

Regiment | * |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Convex | Yes |

Nature | Tame |

The **square tiling antiprism** is a scaliform slab honeycomb of the Euclidean plane. It consists of 2 square tilings, ∞ square pyramids, and ∞ tetrahedra. Each vertex joins 1 square tiling, 5 square pyramids, and 4 tetrahedra. It is an antiprism based on the square tiling. It can also be formed by alternation of the square tiling prism.

It appears as a segment of the tetrahedral-octahedral honeycomb.

## External links[edit | edit source]

- Wikipedia Contributors. "Convex uniform honeycomb#Scaliform honeycomb".