# Great snub icosidodecahedral prism

The **great snub icosidodecahedral prism** or **gosiddip** is a prismatic uniform polychoron that consists of 2 great snub icosidodecahedra, 12 pentagrammic prisms, and 20+60 triangular prisms. Each vertex joins 1 great snub icosidodecahedron, 1 pentagrammic prism, and 4 triangular prisms. As the name suggests, it is a prism based on the great snub icosidodecahedron.

Great snub icosidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gosiddip |

Coxeter diagram | x2s5/2s3s () |

Elements | |

Cells | 20+60 triangular prisms, 12 pentagrammic prisms, 2 great snub icosidodecahedra |

Faces | 40+120 triangles, 30+60+60 squares, 24 pentagrams |

Edges | 60+60+120+120 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | ≈ 0.95707 |

Hypervolume | ≈ 7.67391 |

Dichoral angles | Trip–4–stip: ≈ 138.82237° |

Trip–4–trip: ≈ 126.82315° | |

Gosid–5/2–stip: 90° | |

Gosid–3–trip: 90° | |

Height | 1 |

Central density | 7 |

Number of external pieces | 302 |

Related polytopes | |

Army | Non-uniform Sniddip |

Regiment | Gosiddip |

Dual | Great pentagonal hexecontahedral tegum |

Conjugates | Snub dodecahedral prism, great inverted snub icosidodecahedral prism, great inverted retrosnub icosidodecahedral prism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}+×A_{1}, order 120 |

Convex | No |

Nature | Tame |

## External linksEdit

- Bowers, Jonathan. "Category 19: Prisms" (#954).

- Klitzing, Richard. "gosiddip".