# Antitruncated octahedron

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Antitruncated octahedron | |
---|---|

Rank | 3 |

Type | Semi-uniform |

Space | Spherical |

Elements | |

Faces | 6 squares, 8 tripods |

Edges | 12+24 |

Vertices | 24 |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Toe |

Dual | Antiapiculated cube |

Convex core | Octahedron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Convex | No |

Nature | Tame |

The **antitruncated octahedron** or **inflected truncated octahedron** is a semi-uniform polyhedron. It consists of 6 squares and 8 tripods. It has 1 square and 2 tripods at a vertex, and an isosceles triangle as a vertex. It is both the anitruncation (or inflected truncation) of the octahedron and a faceting of the truncated octahedron.

## Vertex coordinates[edit | edit source]

The coordinates of the antitruncated octahedron are the same as the truncated octahedron, being all permutations of

## Variations[edit | edit source]

The antitruncated octahedron is part of a teepee where the squares are resized.