# Triakis tetrahedral tegum

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Triakis tetrahedral tegum | |
---|---|

Rank | 4 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Coxeter diagram | m2m3m3o |

Elements | |

Cells | 24 sphenoids |

Faces | 12+12 isosceles triangles, 24 scalene triangles |

Edges | 6+8+8+12 |

Vertices | 2+4+4 |

Vertex figure | 2 triakis tetrahedra, 4 hexagonal tegums, 4 triangular tegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Truncated tetrahedral prism |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A3×A1, order 48 |

Convex | Yes |

Nature | Tame |

The **triakis tetrahedral tegum**, also called the **triakis tetrahedral bipyramid**, is a convex isochoric polychoron with 24 sphenoids as cells. As the name suggests, it can be constructed as a tegum based on the triakis tetrahedron.

In the variant obtained as the dual of the uniform truncated tetrahedral prism, if the triakis tetrahedron's short edge has length 1, its height is .