# Disicositetraquasitruncated disicositetrachoron

The **disicositetraquasitruncated disicositetrachoron**, or **diquitdi**, is a nonconvex uniform polychoron that consists of 24 truncated octahedra, 24 quasitruncated hexahedra, 24 small cubicuboctahedra, and 24 cuboctatruncated cuboctahedra. 1 quasitruncated hexahedron, 1 truncated octahedron, 1 small cubicuboctahedron, and 2 cuboctatruncated cuboctahedra join at each vertex.

Disicositetraquasitruncated disicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Diquitdi |

Coxeter diagram | x3x4/3x3o4/3*a4*c () |

Elements | |

Cells | 24 truncated octahedra, 24 quasitruncated hexahedra, 24 small cubicuboctahedra, 24 cuboctatruncated cuboctahedra |

Faces | 192 triangles, 144 squares, 192 hexagons, 144 octagons, 144 octagrams |

Edges | 288+576+576 |

Vertices | 576 |

Vertex figure | Crossed isosceles trapezoidal pyramid, base edge lengths 1, √2+√2, √2, √2+√2; lateral edge lengths √3, √3, √2–√2, √2–√2 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Socco–8–cotco: 135° |

Socco–3–quith: 120° | |

Toe–6–cotco: 120° | |

Socco–4–toe: 45° | |

Quith–8/3–cotco: 45° | |

Central density | 19 |

Related polytopes | |

Army | Semi-uniform Prico, edge lengths (small rhombicuboctahedra), (sides of triangular prisms) |

Regiment | Suti |

Conjugate | Disicositetratruncated disicositetrachoron |

Abstract & topological properties | |

Flag count | 18432 |

Euler characteristic | –144 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Tame |

## Vertex coordinates edit

Its vertices are the same as those of its regiment colonel, the small tetrisicositetrachoron.

## External links edit

- Bowers, Jonathan. "Category 10: Prismatorhombates" (#410).

- Klitzing, Richard. "diquitdi".