# Antipodial omnisnub bitetrahedral tetracontoctachoron

The **antipodial omnisnub bitetrahedral tetracontoctachoron** or **aposbitac** is a convex isogonal polychoron that consists of 48 snub tetrahedra, 384 chiral triangular antipodiums of two kinds, 144 rhombic disphenoids, 576 phyllic disphenoids of two kinds, and 1152 irregular tetrahedra of two kinds. 1 snub tetrahedron, 4 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. However, it cannot be made uniform.

Antipodial omnisnub bitetrahedral tetracontoctachoron | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Aposbitac |

Elements | |

Cells | 144 rhombic disphenoids, 288+288 phyllic disphenoids, 576+576 irregular tetrahedra, 192+192 triangular antipodiums, 48 snub tetrahedra |

Faces | 192+192+192 triangles, 576+576+576+576+576+576+576+576+576 scalene triangles |

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

Vertices | 576 |

Vertex figure | 14-vertex polyhedron with 1 pentagon, 4 tetragons, and 13 triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Aposbitac |

Regiment | Aposbitac |

Dual | Trapezohedral intersected tetradecahedral pentacosiheptacontahexachoron |

Abstract & topological properties | |

Flag count | 69120 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A_{3}●B_{3}, order 576 |

Convex | Yes |

Nature | Tame |