# Sphenoidal hecatonenneacontadichoron

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Sphenoidal hecatonenneacontadichoron | |
---|---|

Rank | 4 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Coxeter diagram | m4m3m3o () |

Elements | |

Cells | 192 sphenoids |

Faces | 96+96 isosceles triangles, 192 scalene triangles |

Edges | 24+64+64+96 |

Vertices | 8+16+32 |

Vertex figure | 32 triangular bipyramids, 16 triakis tetrahedra, 8 disdyakis dodecahedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Great rhombated tesseract |

Abstract & topological properties | |

Flag count | 4608 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | Yes |

Nature | Tame |

The **sphenoidal hecatonicenneacontadichoron** is a convex isochoric polychoron with 192 sphenoids as cells. It can be obtained as the dual of the great 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 and the rectified tesseract has edge length .