# Great dodecahemicosahedral prism

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Great dodecahemicosahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gidhipe |

Coxeter diagram | (x o5/4x3x5*b)/2 (/2) |

Elements | |

Cells | 12 pentagonal prisms, 10 hexagonal prisms, 2 great dodecahemicosahedra |

Faces | 60 squares, 24 pentagons, 20 hexagons |

Edges | 30+120 |

Vertices | 60 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Gidhei–5–pip: 90° |

Gidhei–6–hip: 90° | |

Pip–4–hip: | |

Height | 1 |

Number of pieces | 314 |

Related polytopes | |

Army | Semi-uniform Iddip |

Regiment | Diddip |

Dual | Great dodecahemicosacronic tegum |

Conjugate | Small dodecahemicosahedral prism |

Abstract properties | |

Euler characteristic | –10 |

Topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great dodecahemicosahedral prism** or **gidhipe**, is a prismatic uniform polychoron that consists of 2 great dodecahemicosahedra, 12 pentagonal prisms, and 10 hexagonal prisms. Each vertex joins 1 great dodecahemicosahedron, 2 pentagonal prisms, and 2 hexagonal prisms. As the name suggests, it is a prism based on the great dodecahemicosahedron.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the dodecadodecahedral prism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#916).