# Small hendecagrammic duoprism

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Small hendecagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Coxeter diagram | x11/2o x11/2o () |

Elements | |

Cells | 22 small hendecagrammic prisms |

Faces | 121 squares, 22 small hendecagrams |

Edges | 242 |

Vertices | 121 |

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

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angles | Sishenp–11/2–sishenp: |

Sishenp–4–sishenp: 90° | |

Central density | 4 |

Number of external pieces | 44 |

Level of complexity | 12 |

Related polytopes | |

Army | Handip |

Dual | Small hendecagrammic duotegum |

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

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | No |

Nature | Tame |

The **small hendecagrammic duoprism**, also known as the **small hendecagrammic-small hendecagrammic duoprism**, the **11/2 duoprism** or the **11/2-11/2 duoprism**, is a noble uniform duoprism that consists of 22 small hendecagrammic prisms, with 4 meeting at each vertex.

## Vertex coordinates[edit | edit source]

The coordinates of a small hendecagrammic duoprism, centered at the origin and with edge length 2sin(2π/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".