# Great dirhombicosidodecahedral prism

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Great dirhombicosidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gidriddip |

Coxeter diagram | x2s3s5/2s3/2s5/3*bØ*d *cØ*e |

Elements | |

Cells | 40 triangular prisms, 60 cubes, 24 pentagrammic prisms, 2 great dirhombicosidodecahedra |

Faces | 80 triangles, 120+120+120 squares, 48 pentagrams |

Edges | 60+240+240 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | 0 |

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

Gidrid–3–trip: 90° | |

Gidrid–4–cube: 90° | |

Stip–4–cube: | |

Trip–4–cube: | |

Height | 1 |

Central density | 0 |

Number of external pieces | 1282 |

Related polytopes | |

Army | Semi-uniform Sriddip |

Regiment | Gidriddip |

Dual | Great dirhombicosidodecacronic tegum |

Abstract & topological properties | |

Euler characteristic | –58 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great dirhombicosidodecahedral prism** or **gidriddip** is a prismatic uniform polychoron that consists of 2 great dirhombicosidodecahedra, 24 pentagrammic prisms, 40 triangular prisms, and 60 cubes (the latter three of these form pairs in the same hyperplane). Each vertex joins 1 great dirhombicosidodecahedron, 2 pentagrammic prisms, 2 triangular prisms, and 4 cubes. As the name suggests, it is a prism based on the great dirhombicosidodecahedron.

## Vertex coordinates[edit | edit source]

A great dirhombicosidodecahedral prism of edge length 1 has vertex coordinates given by all even permutations of the first three coordinates of:

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#962).

- Klitzing, Richard. "gidriddip".