# Dodecahedronary hexacosichoron

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Dodecahedronary hexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dox |

Elements | |

Components | 25 icositetrachora |

Cells | 600 octahedra |

Faces | 2400 triangles |

Edges | 2400 |

Vertices | 600 as 120 fissary |

Vertex figure | Rhombihedron, edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angle | |

Related polytopes | |

Army | Ex |

Regiment | Sishi |

Company | Sidtixhi |

Dual | Pentahecatonicosachoron |

Conjugate | Dodecahedronary hexacosichoron |

Convex core | Hexacosichoron |

Properties | |

Symmetry | H4, order 14400 |

Nature | Tame |

The **dodecahedronary hexacosichoron** is a uniform polychoron compound. It is a compound of 25 icositetrachora. 5 icositetrachora meet at each vertex.

## Vertex coordinates[edit | edit source]

The vertex coordinates are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

## Related polychora[edit | edit source]

This compound shares the vertices, edges, and faces of the small ditrigonary hexacosihecatonicosachoron.

The icositetrachora in this compound can be faceted into icositetrahemiicositetrachora in two different ways, forming the small and great dodecahedronary hexacosihemihexacosichoron.

The truncated dodecahedronary hexacosichoron and rectified dodecahedronary hexacosichoron are also uniform compounds.

## External links[edit | edit source]

- Klitzing, Richard. "dox".