# Demienneract

(Redirected from 9-demicube)

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Demienneract | |
---|---|

Rank | 9 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Henne |

Coxeter diagram | x3o3o *b3o3o3o3o3o3o () |

Elements | |

Yotta | 256 enneazetta, 18 demiocteracts |

Zetta | 2304 octaexa, 144 demihepteracts |

Exa | 9216 heptapeta, 672 demihexeracts |

Peta | 21504 hexatera, 2016 demipenteracts |

Tera | 32256 pentachora, 4032 hexadecachora |

Cells | 5376+32256 tetrahedra |

Faces | 21504 triangles |

Edges | 4608 |

Vertices | 256 |

Vertex figure | Rectified enneazetton, edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Diyottal angles | Hocto–oca–ene: |

Hocto–hesa–hocto: 90° | |

Height | |

Central density | 1 |

Number of pieces | 274 |

Level of complexity | 7 |

Related polytopes | |

Army | Henne |

Regiment | Henne |

Dual | Semistellated pentacosidodecayotton |

Conjugate | None |

Abstract properties | |

Euler characteristic | 2 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | D_{9}, order 92897920 |

Convex | Yes |

Nature | Tame |

The **demienneract**, or **henne**, also called the **hemienneract** or **9-demicube**, is a convex uniform polyyotton. It has 18 demiocteracts and 256 enneazetta as facets, with 9 of each at a vertex forming a rectified enneazetton as the vertex figure. It is the 9-dimensional demihypercube and is formed by alternating the enneract. It is also a segmentoyotton, as a demiocteractic antiprism.

## Vertex coordinates[edit | edit source]

The vertices of a demienneract of edge length 1, centered at the origin, are given by all even sign changes of:

## External links[edit | edit source]

- Klitzing, Richard. "henne".