# Notched enneacontahexachoron

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Notched enneacontahexachoron | |
---|---|

Rank | 4 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Coxeter diagram | m4o3m3o |

Elements | |

Cells | 96 notches |

Faces | 96 isosceles triangles, 192 scalene triangles |

Edges | 24+64+64+96 |

Vertices | 8+16+32 |

Vertex figure | 32 triangular bipyramids, 16 cubes, 8 deltoidal icositetrahedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Small rhombated tesseract |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | Yes |

Nature | Tame |

The **notched enneacontahexachoron** is a convex isochoric polychoron with 96 notches as cells. It can be obtained as the dual of the small rhombated tesseract.

It can also be constructed as the convex hull of a tesseract, a hexadecachoron, and a rectified tesseract. If the tesseract has edge length 1, the hexadecachoron has edge length 2 and the rectified tesseract has edge length .