# Great icosidodecahedral prism

Jump to navigation
Jump to search

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

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Giddip |

Coxeter diagram | x o5/2x3o () |

Elements | |

Cells | 20 triangular prisms, 12 pentagrammic prisms, 2 great icosidodecahedra |

Faces | 40 triangles, 60 squares, 24 pentagrams |

Edges | 30+120 |

Vertices | 60 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Trip–4–stip: |

Gid–3–trip: 90° | |

Gid–5/2–stip: 90° | |

Height | 1 |

Central density | 7 |

Number of pieces | 134 |

Related polytopes | |

Army | Semi-uniform Iddip |

Regiment | Giddip |

Dual | Great rhombic triacontahedral tegum |

Conjugate | Icosidodecahedral prism |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

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

## Vertex coordinates[edit | edit source]

The vertices of a great icosidodecahedral prism of edge length 1 are given by all permutations and sign changes of the first three coordinates of:

along with all even permutations and all sign changes of the first three coordinates of:

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#917).

- Klitzing, Richard. "giddip".