# Pentadecahedral hecatonenneacontadichoron

The **pentadecahedral hecatonenneacontadichoron** is a convex isochoric polychoron with 192 identical cells. It can be obtained as the dual of the bitetrahedral tetracontoctachoron.

Pentadecahedral hecatonenneacontadichoron | |
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Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 192 26-vertex pentadecahedra |

Faces | 576 irregular tetragons, 288 kites, 288 mirror-symmetric hexagons, 288 mirror-symmetric octagons |

Edges | 192+576+576+576+576 |

Vertices | 48+144+192+288+576 |

Vertex figure | 576 irregular tetrahedra, 288 phyllic disphenoids, 192 triangular pyramids, 144 rhombic disphenoids, 48 tetrahedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Bitetrahedral tetracontoctachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A_{3}●B_{3}, order 576 |

Convex | Yes |

Nature | Tame |

Each cell of this polychoron has chiral triangular pyramidal symmetry, with 3 mirror-symmetric octagons, 3 mirror-symmetric hexagons, 3 kites, and 6 irregular tetragons for faces.