# Hendecagrammic duoprism

Hendecagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Coxeter diagram | x11/3o x11/3o () |

Elements | |

Cells | 22 hendecagrammic prisms |

Faces | 121 squares, 22 hendecagrams |

Edges | 242 |

Vertices | 121 |

Vertex figure | Tetragonal disphenoid, edge lengths 2cos(3π/11) (bases) and √2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angles | Shenp–4–shenp: 90° |

Shenp–11/3–shenp: | |

Central density | 9 |

Number of external pieces | 44 |

Level of complexity | 12 |

Related polytopes | |

Army | Handip |

Dual | Hendecagrammic duotegum |

Conjugates | Hendecagonal duoprism, Small hendecagrammic duoprism, Great 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 |

The **hendecagrammic duoprism**, also known as the **hendecagrammic-hendecagrammic duoprism**, the **11/3 duoprism** or the **11/3-11/3 duoprism**, is a noble uniform duoprism that consists of 22 hendecagrammic prisms, with 4 meeting at each vertex.

The name can also refer to the small hendecagrammic duoprism, the small hendecagrammic-hendecagrammic duoprism, the small hendecagrammic-great hendecagrammic duoprism, the small hendecagrammic-grand hendecagrammic duoprism, the hendecagrammic-great hendecagrammic duoprism, the hendecagrammic-grand hendecagrammic duoprism, the great hendecagrammic duoprism, the great hendecagrammic-grand hendecagrammic duoprism, or the grand hendecagrammic duoprism.

## Vertex coordinates[edit | edit source]

The coordinates of a hendecagrammic duoprism, centered at the origin and with edge length 2sin(3π/11), are given by:

- ,
- ,
- ,
- ,

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

## External links[edit | edit source]

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

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