# Myriahexachiliatriacosioctacontatetratradakon

(Redirected from 14-orthoplex)

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Myriahexachiliatriacosioctacontatetratradakon | |
---|---|

Rank | 14 |

Type | Regular |

Space | Spherical |

Notation | |

Coxeter diagram | o4o3o3o3o3o3o3o3o3o3o3o3o3x |

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

Elements | |

Tradaka | 16384 tetradecadoka |

Doka | 114688 tridecahenda |

Henda | 372736 dodecadaka |

Daka | 745472 hendecaxenna |

Xenna | 1025024 decayotta |

Yotta | 1025024 enneazetta |

Zetta | 768768 octaexa |

Exa | 439296 heptapeta |

Peta | 192192 hexatera |

Tera | 64064 pentachora |

Cells | 16016 tetrahedra |

Faces | 2912 triangles |

Edges | 364 |

Vertices | 28 |

Vertex figure | Octachiliahecatonenneacontadidokon, edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dihedral angle | |

Height | |

Central density | 1 |

Number of pieces | 16384 |

Level of complexity | 1 |

Related polytopes | |

Army | * |

Regiment | * |

Dual | Tetradekeract |

Conjugate | None |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{14}, order 1428329123020800 |

Convex | Yes |

Nature | Tame |

The **myriahexachiliatriacosioctacontatetratradakon**, also called the **tetradecacross** or **14-orthoplex**, is one of the 3 regular polytradaka. It has 16384 regular tetradecadoka as facets, joining 4 to a hendon and 8192 to a vertex in a octachiliahecatonenneacontadidokal arrangement. It is the 14-dimensional orthoplex. As such, it is a hecatonicosoctaexon duotegum and square heptategum.

## Vertex coordinates[edit | edit source]

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