# 11-orthoplex

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11-orthoplex | |
---|---|

Rank | 11 |

Type | Regular |

Notation | |

Coxeter diagram | o4o3o3o3o3o3o3o3o3o3x () |

Schläfli symbol | {3,3,3,3,3,3,3,3,3,4} |

Elements | |

Daka | 2048 hendecaxenna |

Xenna | 11624 decayotta |

Yotta | 28160 enneazetta |

Zetta | 42240 octaexa |

Exa | 42240 heptapeta |

Peta | 29568 hexatera |

Tera | 14784 pentachora |

Cells | 5280 tetrahedra |

Faces | 1320 triangles |

Edges | 220 |

Vertices | 22 |

Vertex figure | 10-orthoplex, edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dihedral angle | |

Height | |

Central density | 1 |

Number of external pieces | 2048 |

Level of complexity | 1 |

Related polytopes | |

Army | * |

Regiment | * |

Dual | 11-cube |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | B_{11}, order 81749606400 |

Flag orbits | 1 |

Convex | Yes |

Nature | Tame |

The **11-orthoplex**, also called the **hendecacross** or **dischiliatetracontoctadakon**, is a regular 11-polytope. It has 2048 regular 10-simplices as facets, joining 4 to a peak and 1024 to a vertex in a 10-orthoplecial arrangement. It is the 11-dimensional orthoplex.

## Vertex coordinates[edit | edit source]

The vertices of a regular 11-orthoplex of edge length 1, centered at the origin, are given by all permutations of:

- .