# Gyrowedged omnisnub bitetrahedral tetracontoctachoron

The **gyrowedged omnisnub bitetrahedral tetracontoctachoron** or **gywosbitac** is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 288 digonal-rectangular gyrowedges, 288 phyllic disphenoids, and 1152 irregular tetrahedra of two kinds. 1 snub tetrahedron, 2 triangular antipodiums, 3 digonal-rectangular gyrowedges, 2 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. However, it cannot be made scaliform.

Gyrowedged omnisnub bitetrahedral tetracontoctachoron | |
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Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Gywosbitac |

Elements | |

Cells | 288 phyllic disphenoids, 576+576 irregular tetrahedra, 288 digonal-rectangular gyrowedges, 192 chiral triangular antipodiums, 48 snub tetrahedra |

Faces | 192+192 triangles, 576+576+576+576+576+576+576+576 scalene triangles, 144 rectangles |

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

Vertices | 576 |

Vertex figure | 13-vertex polyhedron |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Gywosbitac |

Regiment | Gywosbitac |

Dual | Tridecahedral pentacosiheptacontahexachoron |

Abstract & topological properties | |

Flag count | 62208 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A_{3}●B_{3}, order 576 |

Convex | Yes |

Nature | Tame |