# Great heptagrammic duoprism

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Great heptagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gishdip |

Coxeter diagram | x7/3o x7/3o () |

Elements | |

Cells | 14 great heptagrammic prisms |

Faces | 49 squares, 14 great heptagrams |

Edges | 98 |

Vertices | 49 |

Vertex figure | Tetragonal disphenoid, edge lengths 2cos(3π/7) (bases) and √2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angles | Ship–4–ship: 90° |

Ship–7/3–ship: | |

Central density | 9 |

Number of external pieces | 28 |

Level of complexity | 12 |

Related polytopes | |

Army | Hedip |

Regiment | Gishdip |

Dual | Great heptagrammic duotegum |

Conjugates | Heptagonal duoprism, Heptagrammic duoprism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | No |

Nature | Tame |

The **great heptagrammic duoprism** or **gishdip**, also known as the **great heptagrammic-great heptagrammic duoprism**, the **7/3 duoprism** or the **7/3-7/3 duoprism**, is a noble uniform duoprism that consists of 14 great heptagrammic prisms, with 4 meeting at each vertex.

## Vertex coordinates[edit | edit source]

The coordinates of a great heptagrammic duoprism, centered at the origin and with edge length 2sin(3π/7), are given by:

where j, k = 2, 4, 6.

## External links[edit | edit source]

- Bowers, Jonathan. "Category A: Duoprisms".

- Klitzing, Richard. "nd-mb-dip".