# Great icosicosidodecahedral prism

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Great icosicosidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Giidip |

Coxeter diagram | x o3/2x3x5*b () |

Elements | |

Cells | 20 triangular prisms, 12 pentagonal prisms, 20 hexagonal prisms, 2 great icosicosidodecahedra |

Faces | 40 triangles, 60+60 squares, 24 pentagons, 40 hexagons |

Edges | 60+120+120 |

Vertices | 120 |

Vertex figure | Crossed isosceles trapezoidal pyramid, edge lengths 1, √3, (1+√5)/2, √3 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Pip–4–hip: |

Giid–5–pip: 90° | |

Giid–3–trip: 90° | |

Giid–6–hip: 90° | |

Trip–4–hip: | |

Height | 1 |

Central density | 6 |

Number of external pieces | 1234 |

Related polytopes | |

Army | Semi-uniform Tiddip |

Regiment | Gidditdiddip |

Dual | Great icosacronic hexecontahedral bipyramid |

Conjugate | Small icosicosidodecahedral prism |

Abstract & topological properties | |

Euler characteristic | –10 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great icosicosidodecahedral prism** or **giidip** is a prismatic uniform polychoron that consists of 2 great icosicosidodecahedra, 12 pentagonal prisms, 20 triangular prisms, and 20 hexagonal prisms. Each vertex joins 1 great icosicosidodecahedron, 1 pentagonal prism, 1 triangular prism, and 2 hexagonal prisms. As the name suggests, it is a prism based on the great icosicosidodecahedron.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#936).

- Klitzing, Richard. "giidip".