# Small omnisnub bitetrahedral tetracontoctachoron

The **small omnisnub bitetrahedral tetracontoctachoron** or **sosbitic** 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 576 irregular tetrahedra. 1 snub tetrahedron, 4 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 4 irregular tetrahedra join at each vertex. However, it cannot be made uniform.

Small omnisnub bitetrahedral tetracontoctachoron | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Sosbitic |

Elements | |

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

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

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

Vertices | 576 |

Vertex figure | 12-vertex polyhedron with 1 pentagon, 4 tetragons, and 9 triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Sosbitic |

Regiment | Sosbitic |

Dual | Small dodecahedral pentacosiheptacontahexachoron |

Abstract & topological properties | |

Flag count | 55296 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A_{3}●B_{3}, order 576 |

Convex | Yes |

Nature | Tame |