# Medial disphenoidal omnisnub bitetrahedral tetracontoctachoron

The **medial disphenoidal omnisnub bitetrahedral tetracontoctachoron** or **medwosbitac** is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 144 rhombic disphenoids, 576 phyllic disphenoids of two kinds, and 2304 irregular tetrahedra of four kinds. 1 snub tetrahedra, 2 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 16 irregular tetrahedra join at each vertex. However, it cannot be made uniform.

Medial disphenoidal omnisnub bitetrahedral tetracontoctachoron | |
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Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Medwosbitac |

Elements | |

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

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

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

Vertices | 576 |

Vertex figure | 16-vertex polyhedron with 1 pentagon, 2 tetragons, and 21 triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Medwosbitac |

Regiment | Medwosbitac |

Dual | Hexadecahedral pentacosiheptacontahexachoron |

Abstract & topological properties | |

Flag count | 87552 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A_{3}●B_{3}, order 576 |

Convex | Yes |

Nature | Tame |