# Tetrahedral myriatetrachiliatetracosichoron

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Tetrahedral myriatetrachillia-tetracosichoron | |
---|---|

Rank | 4 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m5m3m3m () |

Elements | |

Cells | 14400 irregular tetrahedra |

Faces | 7200+7200+7200+7200 scalene triangles |

Edges | 1440+2400+2400+3600+3600+3600 |

Vertices | 120+600+720+1200 |

Vertex figure | 1200 hexagonal bipyramids, 720 decagonal bipyramids, 600 tetrakis hexahedra, 120 disdyakis triacontahedra |

Measures (edge length 1) | |

Dichoral angle | |

Central density | 1 |

Related polytopes | |

Dual | Great disprismatohexacosi-hecatonicosachoron |

Abstract & topological properties | |

Flag count | 345600 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | Yes |

Nature | Tame |

The **tetrahedral myriatetrachiliatetracosichoron** is a convex isochoric polychoron with 14400 irregular tetrahedra as cells. It can be obtained as the dual of the great disprismatohexacosihecatonicosachoron.

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