# Disicositetrintercepted disicositetrachoron

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Disicositetrintercepted disicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Dindi |

Elements | |

Cells | 24 cuboctahedra, 24 truncated cubes, 24 small rhombicuboctahedra, 24 great rhombicuboctahedra |

Faces | 96+192 triangles, 144+288 squares, 96 hexagons, 144 octagons |

Edges | 288+576 |

Vertices | 288 |

Vertex figure | Inverted wedge, edge lengths 1 (3), √2 (6), √3 (2), and √2+√2 94) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Sirco–4–co: 135° |

Sirco–3–sirco: 120° | |

Girco–6–girco: 120° | |

Co–3–tic: 120° | |

Tic–8–girco: 90° | |

Sirco–4–girco: 90° | |

Related polytopes | |

Army | Srico |

Regiment | Srico |

Conjugate | Icositetrintercepted trisicositetrachoron |

Convex core | Icositetrachoron |

Abstract & topological properties | |

Euler characteristic | 288 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

The **disicositetrintercepted disicositetrachoron**, or **dindi**, is a nonconvex uniform polychoron that consists of 24 cuboctahedra, 24 small rhombicuboctahedra, 24 truncated cubes, and 24 great rhombicuboctahedra. One cuboctahedron, two small rhombicuboctahedra, two truncated cubes, and four great rhombicuboctahedra join at each vertex.

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated icositetrachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 6: Sphenoverts" (#156).