# Disphenoidal chiliahecatonpentacontadichoron

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Disphenoidal chiliahecatonpentacontadichoron | |
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Rank | 4 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m3m4m3m () |

Elements | |

Cells | 1152 phyllic disphenoids |

Faces | 1152+1152 scalene triangles |

Edges | 144+288+384+576 |

Vertices | 48+192 |

Vertex figure | 192 hexagonal bipyramids, 48 disdyakis dodecahedra |

Measures (edge length 1) | |

Dichoral angle | |

Central density | 1 |

Related polytopes | |

Dual | Great prismatotetracontoctachoron |

Abstract & topological properties | |

Flag count | 27648 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | Yes |

Nature | Tame |

The **disphenoidal chiliahecatonpentacontadichoron** is a convex isochoric polychoron with 1152 phyllic disphenoids as cells. It can be obtained as the dual of the great prismatotetracontoctachoron.

It can also be constructed as the convex hull of 2 dual icositetrachora and 2 opposite rectified icositetrachora. If the icositetrachora have edge length 1, the rectified icositetrachora have edge length .