# Dodecahedronary cubichoron

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Dodecahedronary cubichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dac |

Elements | |

Components | 75 tesseracts |

Cells | 600 cube as 120 rhom |

Faces | 1800 squares |

Edges | 2400 |

Vertices | 1200 as 120 fissary |

Vertex figure | Icosicosahedron, edge length √2 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angle | |

Related polytopes | |

Army | Ex |

Regiment | Sishi |

Dual | Stellated dodecahedronary hexacosichoron |

Conjugate | Dodecahedronary cubichoron |

Convex core | Hecatonicosachoron |

Properties | |

Symmetry | H4, order 14400 |

Nature | Tame |

The **dodecahedronary cubichoron** is a uniform polychoron compound. It is a compound of 75 tesseracts. 10 tesseracts 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 can be obtained from the dodecahedronary hexacosichoron by replacing each icositetrachoron with its inscribed great icositetrachoron.

Various truncates of this compound are also uniform. Cantellating this compound has the octahedral cells blend out, forming a compound of 25 inverted prismatoicositetrachora.