# Rectified hexagonal duoprism

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Rectified hexagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Rehiddip |

Elements | |

Cells | 36 tetragonal disphenoids, 12 rectified hexagonal prisms |

Faces | 144 isosceles triangles, 36 squares, 12 hexagons |

Edges | 72+144 |

Vertices | 72 |

Vertex figure | Wedge |

Measures (based on hexagons of edge length 1) | |

Edge lengths | Lacing edges (144): |

Edges of base hexagons (72): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Rehiddip |

Regiment | Rehiddip |

Dual | Joined hexagonal duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | G_{2}≀S_{2}, order 288 |

Convex | Yes |

Nature | Tame |

The **rectified hexagonal duoprism** or **rehiddip** is a convex isogonal polychoron that consists of 12 rectified hexagonal prisms and 36 tetragonal disphenoids. 3 rectified hexagonal prisms and 2 tetragonal disphenoids join at each vertex. It can be formed by rectifying the hexagonal duoprism.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform hexagonal duoprisms, where the edges of one hexagon are times as long as the edges of the other.

The ratio between the longest and shortest edges is 1: ≈ 1:1.22474.

## Vertex coordinates[edit | edit source]

The vertices of a rectified hexagonal duoprism based on hexagons of edge length 1, centered at the origin, are given by: