# Biambotetracontoctachoron

Jump to navigation
Jump to search

Biambotetracontoctachoron | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Bamic |

Coxeter diagram | oo3xo4ox3oo&#zy |

Elements | |

Cells | 48 cubes, 144 square antiprisms |

Faces | 576 isosceles triangles, 288 squares |

Edges | 288+576 = 864 |

Vertices | 192 |

Vertex figure | Triangular bifrustum |

Measures (based on two rectified icositetrachora of edge length 1) | |

Edge lengths | Lacing edges (288): |

Edges of rectified icositetrachora (576): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Bamic |

Regiment | Bamic |

Dual | Bijungatotetracontoctachoron |

Abstract & topological properties | |

Flag count | 11520 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | Yes |

Nature | Tame |

The **biambotetracontoctachoron** or **bamic** is a convex isogonal polychoron that consists of 48 cubes and 144 square antiprisms. 2 cubes and 6 square antiprisms join at each vertex. It can be obtained as the convex hull of two oppositely oriented rectified icositetrachora.

The biambotetracontoctachoron contains the vertices of a square-octagonal prismantiprismoid and the square double prismantiprismoid.

The ratio between the longest and shortest edges is

## Vertex coordinates[edit | edit source]

The vertices of a biambotetracontoctachoron are derived from two perpendicular rectified icositetrachora of edge length 1, centered at the origin, are given by all permutations of:

- ,
- ,
- .

## External links[edit | edit source]

- Klitzing, Richard. "bamic".