# Joined penteract

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Joined penteract | |
---|---|

Rank | 5 |

Type | Uniform dual |

Notation | |

Coxeter diagram | o4o3o3m3o |

Elements | |

Tera | 40 cubic tegums |

Cells | 240 square pyramids |

Faces | 320 isosceles triangles, 80 squares |

Edges | 80+160 |

Vertices | 10+32 |

Vertex figure | 10 tesseracts, 32 joined pentachora |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Rectified triacontaditeron |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | B5, order 3840 |

Convex | Yes |

Nature | Tame |

The **joined penteract**, also known as the **cubic-tegmatic tetracontateron**, is a convex isoteric polyteron with 40 identical cubic tegums as tera. It can be obtained as the dual of the uniform rectified triacontaditeron.

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.