# Great hendecagrammic duoprism

The **great hendecagrammic duoprism**, also known as the **great hendecagrammic-great hendecagrammic duoprism**, the **11/4 duoprism** or the **11/4-11/4 duoprism**, is a noble uniform duoprism that consists of 22 great hendecagrammic prisms, with 4 meeting at each vertex.

Great hendecagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Coxeter diagram | x11/4o x11/4o () |

Elements | |

Cells | 22 great hendecagrammic prisms |

Faces | 121 squares, 22 great hendecagrams |

Edges | 242 |

Vertices | 121 |

Vertex figure | Tetragonal disphenoid, edge lengths 2cos(4π/11) (bases) and √2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angles | Gishenp–4–gishenp: 90° |

Gishenp–11/4–gishenp: | |

Central density | 16 |

Number of external pieces | 44 |

Level of complexity | 12 |

Related polytopes | |

Army | Handip |

Dual | Great hendecagrammic duotegum |

Conjugates | Hendecagonal duoprism, Small hendecagrammic duoprism, Hendecagrammic duoprism, Grand hendecagrammic duoprism |

Abstract & topological properties | |

Flag count | 2904 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(11)≀S_{2}, order 968 |

Convex | No |

Nature | Tame |

## Vertex coordinates edit

The coordinates of a great hendecagrammic duoprism, centered at the origin and with edge length 2sin(4π/11), are given by:

- ,
- ,
- ,
- ,

where j, k = 2, 4, 6, 8, 10.

## External links edit

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

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