# Great bitetracontoctachoron

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Great bitetracontoctachoron | |
---|---|

Rank | 4 |

Type | Noble |

Space | Spherical |

Notation | |

Bowers style acronym | Gibic |

Coxeter diagram | o3m4/3m3o |

Elements | |

Cells | 288 tetragonal disphenoids |

Faces | 576 isosceles triangles |

Edges | 144+192 |

Vertices | 48 |

Vertex figure | Great triakis octahedron |

Measures (based on two icositetrachora of edge length 1) | |

Dichoral angle | |

Related polytopes | |

Army | Bicont |

Regiment | Gibic |

Dual | Great tetracontoctachoron |

Conjugate | Bitetracontoctachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | No |

Nature | Tame |

The **great bitetracontoctachoron** or **gibic** is a nonconvex noble polychoron with 288 tetragonal disphenoids as cells. 24 cells join at each vertex, with the vertex figure being a great triakis octahedron.

The ratio between the longest and shortest edges is 1: ≈ 1:1.84776.

## Vertex coordinates[edit | edit source]

Coordinates for the vertices of a great bitetracontoctachoron of circumradius 1, centered at the origin, are the same as those of a bitetracontoctachoron of the same circumradius. They are given by all permutations of: