# Pentacosidodecayotton

(Redirected from 9-orthoplex)

Jump to navigation
Jump to search
Pentacosidodecayotton | |
---|---|

Rank | 9 |

Type | Regular |

Space | Spherical |

Notation | |

Bowers style acronym | Vee |

Coxeter diagram | o4o3o3o3o3o3o3o3x () |

Schläfli symbol | {3,3,3,3,3,3,3,4} |

Bracket notation | <IIIIIIIII> |

Elements | |

Yotta | 512 enneazetta |

Zetta | 2304 octaexa |

Exa | 4608 heptapeta |

Peta | 5376 hexatera |

Tera | 4032 pentachora |

Cells | 2016 tetrahedra |

Faces | 672 triangles |

Edges | 144 |

Vertices | 18 |

Vertex figure | Diacosipentacontahexazetton, edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Diyottal angle | |

Height | |

Central density | 1 |

Number of pieces | 512 |

Level of complexity | 1 |

Related polytopes | |

Army | Vee |

Regiment | Vee |

Dual | Enneract |

Conjugate | None |

Abstract properties | |

Net count | 248639631948 |

Euler characteristic | 2 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{9}, order 185794560 |

Convex | Yes |

Nature | Tame |

The **pentacosidodecayotton**, or **vee**, also called the **enneacross** or **9-orthoplex**, is one of the 3 regular polyyotta. It has 512 regular enneazetta as facets, joining 4 to a heptapeton peak and 256 to a vertex in a diacosipentacontahexazettal arrangement. It is the 9-dimensional orthoplex. It is also an octahedron triotegum.

## Vertex coordinates[edit | edit source]

The vertices of a regular pentacosidodecayotton of edge length 1, centered at the origin, are given by all permutations of:

## External links[edit | edit source]

- Klitzing, Richard. "vee".

- Wikipedia Contributors. "9-orthoplex".