# Tetrakis hexahedral tegum

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Tetrakis hexahedral tegum | |
---|---|

Rank | 4 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m2o4m3m |

Elements | |

Cells | 48 sphenoids |

Faces | 24+24 isosceles triangles, 48 scalene triangles |

Edges | 12+12+16+24 |

Vertices | 2+6+8 |

Vertex figure | 2 tetrakis hexahedra, 8 hexagonal tegums, 6 octahedra |

Measures (edge length 1) | |

Dichoral angle | |

Central density | 1 |

Related polytopes | |

Dual | Truncated octahedral prism |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{3}×A_{1}, order 96 |

Convex | Yes |

Nature | Tame |

The **tetrakis hexahedral tegum**, also called the **tetrakis hexahedral bipyramid**, is a convex isochoric polychoron with 48 sphenoids as cells. As the name suggests, it is a tegum based on the tetrakis hexahedron.

In the variant obtained as the dual of the uniform truncated octahedral prism, if the tetrakis hexahedron's short edge has length 1, its height is .