# Prismatic transitional omnisnub bitetracontoctachoron

Prismatic transitional omnisnub bitetracontoctachoron | |
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Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Petosbic |

Elements | |

Cells | 1152 irregular tetarhedar, 192 gyrated rectified triangular prisms, 144 square antiprisms, 48 snub cubes |

Faces | 1152+1152+1152 scalene triangles, 1152 isosceles triangles, 384 triangles, 288+288 squares |

Edges | 576+1152+1152+1152+1152 |

Vertices | 1152 |

Vertex figure | 9-vertex polyhedron with 2 pentagons, 2 tetragons, and 4 triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Petosbic |

Regiment | Petosbic |

Dual | Enneahedral chiliahecatonpentacontadichoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}+×2, order 1152 |

Convex | Yes |

Nature | Tame |

The **prismatic transitional omnisnub bitetracontoctachoron** or **petosbic** is a convex isogonal polychoron that consists of 48 snub cubes, 144 square antiprisms, 192 gyrated rectified triangular prisms, and 1152 irregular tetrahedra. 1 snub cube, 1 square antiprism, 2 gyrated rectified triangular prisms, and 4 irregular tetrahedra join at each vertex. It can be obtained through the process of alternating the prismatic transitional biomnitruncatotetracontoctachoron.