# Tetradekeract

(Redirected from 14-hypercube)

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Tetradekeract | |
---|---|

Rank | 14 |

Type | Regular |

Space | Spherical |

Info | |

Coxeter diagram | x4o3o3o3o3o3o3o3o3o3o3o3o3o |

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

Symmetry | B14, order 1428329123020800 |

Army | * |

Regiment | * |

Elements | |

Vertex figure | Tetradecadokon, edge length √2 |

Tradaka | 28 tridekeracts |

Doka | 364 dodekeracts |

Henda | 2912 hendekeracts |

Daka | 16016 dekeracts |

Xenna | 64064 enneracts |

Yotta | 192192 octeracts |

Zetta | 439296 hepteracts |

Exa | 768768 hexeracts |

Peta | 1025024 penteracts |

Tera | 1025024 tesseracts |

Cells | 745472 cubes |

Faces | 372736 squares |

Edges | 114688 |

Vertices | 16384 |

Measures (edge length 1) | |

Circumradius | √14/2 ≈ 1.87083 |

Inradius | 1/2 = 0.5 |

Hypervolume | 1 |

Dixennal angle | 90° |

Central density | 1 |

Euler characteristic | 0 |

Related polytopes | |

Dual | Myriahexachiliatriacosioctacontatetratradakon |

Conjugate | Tetradekeract |

Properties | |

Convex | Yes |

Orientable | Yes |

Nature | Tame |

The **tetradekeract**, also called the **14-cube** or **icosioctatradakon**, is one of the 3 regular polytradaka. It has 28 tridekeracts as facets, joining 3 to a hendon and 14 to a vertex.

It is the 14-dimensional hypercube. As such it is a hepteract duoprism and square heptaprism.

It can be alternated into a demitetradekeract, which is uniform.

## Vertex coordinates[edit | edit source]

The vertices of a tetradekeract of edge length 1, centered at the origin, are given by:

- (±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2).