# Bimesotruncatotetracontoctachoron

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Bimesotruncatotetracontoctachoron | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Bimtec |

Coxeter diagram | oo3ab4ba3oo&#zc |

Elements | |

Cells | 144 ditetragonal trapezoprisms, 48 truncated cubes |

Faces | 192 triangles, 576 isosceles trapezoids, 288 ditetragons |

Edges | 288+576+576 |

Vertices | 576 |

Vertex figure | Notch |

Measures (for variant with trapezoids with 3 equal edges) | |

Edge lengths | Short base edges (576): 1 |

Lacing edges (288): 1 | |

Long base edges (576): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Bimtec |

Regiment | Bimtec |

Dual | Bimesoapiculatotetracontoctachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | Yes |

Nature | Tame |

The **bimesotruncatotetracontoctachoron** or **bimtec** is a convex isogonal polychoron that consists of 48 truncated cubes and 144 ditetragonal trapezoprisms. 2 truncated cubes and 4 ditetragonal trapezoprisms join at each vertex. It can be obtained as the convex hull of two opposite icositetricositetrachora (that is, variants of the tetracontoctachoron with F_{4} symmetry).

If the icositetricositetrachora have edge lengths a and b, the lacing edges between them have length .

Using the ratio method, the lowest possible ratio between the longest and shortest edges is .

## External links[edit | edit source]

- Klitzing, Richard. "bimtec".