# Hexagonal duotruncatoprism

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Hexagonal duotruncatoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Hidtep |

Elements | |

Cells | 36 tetragonal disphenoids, 72 wedges, 36 rectangular trapezoprisms, 12 dihexagonal prisms |

Faces | 144 isosceles triangles, 144 isosceles trapezoids, 72+72 rectangles, 12 dihexagons |

Edges | 72+72+144+144 |

Vertices | 144 |

Vertex figure | Mirror-symmetric bi-apiculated tetrahedron |

Measures (based on dodecagon edge length 1 and same radius ratio as uniform-derived hexagonal duoexpandoprism) | |

Edge lengths | Edges of dodecagons (72+72): 1 |

Lacing edges (144): | |

Edges of pseudo-hexagons (144): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Hidtep |

Regiment | Hidtep |

Dual | Hexagonal duotruncatotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | G_{2}≀S_{2}, order 288 |

Convex | Yes |

Nature | Tame |

The **hexagonal duotruncatoprism** or **hidtep** is a convex isogonal polychoron and the fifth member of the duotruncatoprism family. It consists of 12 dihexagonal prisms, 36 rectangular trapezoprisms, 72 wedges, and 36 tetragonal disphenoids. 2 dihexagonal prisms, 2 rectangular trapezoprisms, 3 edges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal hexagonal-dihexagonal duoprisms whose dihexagonal prism cells have a smaller circumradius than their hexagonal prisms. However, it cannot be made uniform.