# Great icosahedral prism

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Great icosahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gipe |

Coxeter diagram | x o5/2o3x () |

Elements | |

Cells | 20 triangular prisms, 2 great icosahedra |

Faces | 40 triangles, 30 squares |

Edges | 12+60 |

Vertices | 24 |

Vertex figure | Pentagrammic pyramid, edge lengths 1 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gike–3–trip: 90° |

Trip–4–trip: | |

Height | 1 |

Central density | 7 |

Number of external pieces | 182 |

Related polytopes | |

Army | Semi-uniform Ipe |

Regiment | Sissiddip |

Dual | Great stellated dodecahedral tegum |

Conjugate | Icosahedral prism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great icosahedral prism** or **gipe** is a prismatic uniform polychoron that consists of 2 great icosahedra and 20 triangular prisms. Each vertex joins 1 great icosahedron and 5 triangular prisms. As the name suggests, it is a prism based on the great icosahedron.

## Cross-sections[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small stellated dodecahedral prism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#895).

- Klitzing, Richard. "gipe".