# Hypertruncated cube

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Hypertruncated cube | |
---|---|

Rank | 3 |

Elements | |

Faces | 8 triangles, 6 tetrapods |

Edges | 12+24 |

Vertices | 24 |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Concave triakis octahedron |

Conjugate | Antitruncated cube |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | BC3, order 48 |

Nature | Tame |

The **hypertruncated cube** is a semi-uniform polyhedron. It consists of 8 triangles and 6 tetrapods and has 1 triangle and 2 tetrapods at a vertex. It is very similar to the antitruncated cube, the only difference being that the triangles connect to the larger sides of tetrapods in the hypertruncated cube, and the smaller sides in the antitruncated cube. The hypertruncated cube is both the hypertruncation of the cube and a faceting of the truncated cube.

## Vertex coordinates[edit | edit source]

The hypertruncated cube shares its vertices with the truncated cube, being all permutations of:

## Variations[edit | edit source]

A teepee of semi-uniform polyhedra can be formed by adjusting the size of the tetrapods.