# Heptagonal duotruncatoprism

The **heptagonal duotruncatoprism** or **hedtep** is a convex isogonal polychoron and the sixth member of the duotruncatoprism family. It consists of 14 diheptagonal prisms, 49 rectangular trapezoprisms, 98 wedges, and 49 tetragonal disphenoids. 2 diheptagonal prisms, 2 rectangular trapezoprisms, 3 wedges, and 1 tetragonal disphenoids join at each vertex. It can be obtained as the convex hull of two orthogonal heptagonal-diheptagonal duoprisms whose diheptagonal prism cells have a smaller circumradius than their heptagonal prisms. However, it cannot be made uniform.

Heptagonal duotruncatoprism | |
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Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Hedtep |

Elements | |

Cells | 49 tetragonal disphenoids, 98 wedges, 49 rectangular trapezoprisms |

Faces | 196 isosceles triangles, 196 isosceles trapezoids, 98+98 rectangles, 14 diheptagons |

Edges | 98+98+196+196 |

Vertices | 196 |

Vertex figure | Mirror-symmetric bi-apiculated tetrahedron |

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

Edge lengths | Edges of tetradecagons (98+98): 1 |

Lacing edges (196): | |

Edges of pseudo-heptagons (196): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Hedtep |

Regiment | Hedtep |

Dual | Heptagonal duotruncatotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(7)≀S_{2}, order 392 |

Convex | Yes |

Nature | Tame |