# Ditetrahedronary cubihecatonicosachoron

Jump to navigation
Jump to search

Ditetrahedronary cubihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Datchi |

Elements | |

Cells | 120 compounds of five cubes, 120 rhombicosahedra |

Faces | 3600 squares, 1200 hexagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Hi |

Regiment | Dattady |

Conjugate | Ditetrahedronary cubihecatonicosachoron |

Abstract & topological properties | |

Flag count | 86400 |

Euler characteristic | 1080 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **ditetrahedronary cubihecatonicosachoron**, or **datchi**, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes) and 120 rhombicosahedra. Eight cubes (or four compounds) and twelve rhombicosahedra join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#841).

This article is a stub. You can help Polytope Wiki by expanding it. |