# Joined triacontaditeron

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Joined triacontaditeron | |
---|---|

Rank | 5 |

Type | Uniform dual |

Notation | |

Coxeter diagram | o4m3o3o3o |

Elements | |

Tera | 80 tetrahedral tegums |

Cells | 320 triangular pyramids |

Faces | 80 triangles, 320 isosceles triangles |

Edges | 40+160 |

Vertices | 10+32 |

Vertex figure | 10 joined hexadecachora, 32 pentachora |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Rectified penteract |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | B5, order 3840 |

Convex | Yes |

Nature | Tame |

The **joined triacontaditeron**, also known as the **tetrahedral-tegmatic octacontateron**, is a convex isoteric polyteron with 80 identical tetrahedral tegums as tera. It can be obtained as the dual of the uniform rectified penteract.

It can also be obtained as the convex hull of a penteract and a triacontaditeron, where the edges of the triacontaditeron are times the length of those of the penteract.