# Quasirhombicosidodecahedral prism

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Quasirhombicosidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Qriddip |

Coxeter diagram | x x5/3o3x () |

Elements | |

Cells | 20 triangular prisms, 30 cubes, 12 pentagrammic prisms, 2 quasirhombicosidodecahedra |

Faces | 40 triangles, 60+60+60 squares, 24 pentagrams |

Edges | 60+120+120 |

Vertices | 120 |

Vertex figure | Crossed trapezoidal pyramid, edge lengths 1, √2, (√5–1)/2, √2 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Qrid–5/2–stip: 90° |

Qrid–3–trip: 90° | |

Qrid–4–cube: 90° | |

Trip–4–cube: | |

Cube–4–stip: | |

Height | 1 |

Central density | 13 |

Related polytopes | |

Army | Semi-uniform Tipe |

Regiment | Gaddiddip |

Dual | Great deltoidal hexecontahedral tegum |

Conjugate | Small rhombicosidodecahedral prism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **quasirhombicosidodecahedral prism** or **qriddip** is a prismatic uniform polychoron that consists of 2 quasirhombicosidodecahedra, 12 pentagrammic prisms, 20 triangular prisms, and 30 cubes. Each vertex joins 1 quasirhombicosidodecahedron, 1 pentagrammic prism, 1 triangular prism, and 2 cubes. As the name suggests, it is a prism based on the quasirhombicosidodecahedron.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great dodecicosidodecahedral prism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#939).

- Klitzing, Richard. "qriddip".