# Hendecagonal prism

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Hendecagonal prism | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Henp |

Coxeter diagram | x2x11o () |

Conway notation | P11 |

Elements | |

Faces | 11 squares, 2 hendecagons |

Edges | 11+22 |

Vertices | 22 |

Vertex figure | Isosceles triangle, edge lengths √2, √2, 2cos(π/11) |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Dihedral angles | 4–4: |

4–11: 90° | |

Height | 1 |

Central density | 1 |

Number of external pieces | 13 |

Level of complexity | 3 |

Related polytopes | |

Army | Henp |

Regiment | Henp |

Dual | Hendecagonal tegum |

Conjugates | Small hendecagrammic prism, Hendecagrammic prism, Great hendecagrammic prism, Grand hendecagrammic prism |

Abstract & topological properties | |

Flag count | 132 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Skeleton | GP(11,1) |

Properties | |

Symmetry | I_{2}(11)×A_{1}, order 44 |

Convex | Yes |

Nature | Tame |

The **hendecagonal prism** or **henp** is a prismatic uniform polyhedron. It consists of 2 hendecagons and 11 squares. Each vertex joins one hendecagon and two squares. As the name suggests, it is a prism based on a hendecagon.

## Vertex coordinates[edit | edit source]

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

- ,
- ,
- ,
- ,
- ,
- .

## External links[edit | edit source]

- Wikipedia contributors. "Hendecagonal prism".