# Triangular-square duotegmatic octacontateron

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Triangular-square duotegmatic octacontateron | |
---|---|

Rank | 5 |

Type | Uniform dual |

Notation | |

Coxeter diagram | o4o3m3o3o |

Elements | |

Tera | 80 triangular-square duotegums |

Cells | 480 digonal disphenoids |

Faces | 320+320 isosceles triangles |

Edges | 40+80+160 |

Vertices | 10+32 |

Vertex figure | 10 icositetrachora, 32 joined pentachora |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Penteractitriacontaditeron |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | BC5, order 3840 |

Convex | Yes |

Nature | Tame |

The **triangular-square duotegmatic octacontateron**, also called the **joined demipenteract**, is a convex isoteric polyteron with 80 identical triangular-square duotegums as tera. It can be obtained as the dual of the uniform penteractitriacontaditeron.

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.