# Hendecahedral diacosioctacontoctachoron

The **hendecahedral diacosioctacontoctachoron** is a convex isochoric polychoron with 288 identical cells. It can be obtained as the dual of the snub bitetrahedral tetracontoctachoron.

Hendecahedral diacosioctacontoctachoron | |
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Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 288 10-vertex hendecahedra |

Faces | 576 scalene triangles, 288 isosceles triangles, 576 irregular tetragons, 144 rhombi |

Edges | 192+192+288+576+576 |

Vertices | 48+192+288 |

Vertex figure | 288 phyllic disphenoids, 192 pyramidal-symmetric triangular gyrotegums, 48 tetartoids |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Snub 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 bilateral symmetry, with 1 rhombus, 4 irregular tetragons, 2 isosceles triangles, and 4 scalene triangles for faces.