# Medial bicantitruncatotetracontoctachoron

Medial bicantitruncatotetracontoctachoron | |
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Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Mobcotic |

Coxeter diagram | ao3bc4cb3oa&#zd (b+a/2 < c < b+(2+√2)a) |

Elements | |

Cells | 288 tetragonal disphenoids, 384 triangular cupolas, 144 ditetragonal trapezoprisms, 48 truncated cubes |

Faces | 384 triangles, 1152 isosceles triangles, 1152 isosceles trapezoids, 288 ditetragons, 192 ditrigons |

Edges | 576+576+1152+1152 |

Vertices | 1152 |

Vertex figure | Monoaugmented isosceles trapezoidal pyramid |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Mobcotic |

Regiment | Mobcotic |

Dual | Medial bimetatetracontoctachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | Yes |

Nature | Tame |

The **medial bicantitruncatotetracontoctachoron** or **mobcotic** is a convex isogonal polychoron that consists of 48 truncated cubes, 144 ditetragonal trapezoprisms, 384 triangular cupolas, and 288 tetragonal disphenoids. 1 tuncated cube, 2 ditetragonal trapezoprisms, 3 triangular cupolas, and 1 tetragonal disphenoid join at each vertex.

It is one of a total of five distinct polychora (including two transitional cases) that can be obtained as the convex hull of two opposite great rhombated icositetrachora. In this case, if the great rhombated icositetrachora are of the form a3b4c3o, then c must be between (producing the transitional bicantitruncatotetracontoctachoron) and (producing the truncated tetracontoctachoron). The lacing edges generally have length .