# Disphenoidal diacosioctacontoctachoron

The **disphenoidal diacosioctacontoctachoron** is a convex isochoric polychoron with 288 digonal disphenoids as cells. It is a variant of the bitetracontoctachoron with single icositetrachoric symmetry.

Disphenoidal diacosioctacontoctachoron | |
---|---|

Rank | 4 |

Type | Isotopic |

Space | Spherical |

Elements | |

Cells | 288 digonal disphenoids |

Faces | 288+288 isosceles triangles |

Edges | 96+96+144 |

Vertices | 24+24 |

Vertex figure | 24+24 triakis octahedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Icositetricositetrachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | F4, order 1152 |

Convex | Yes |

Nature | Tame |

It can also be formed as the convex hull of two dually oriented icositetrachora where the larger one has edges less than times the length of those of the smaller one.