# Great dodecahemidodecahedral prism

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Great dodecahemidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gidhiddip |

Coxeter diagram | ((x x5/3x5/3o5/2*b)/2) |

Elements | |

Cells | 12 pentagrammic prisms, 6 decagrammic prisms, 2 great dodecahemidodecahedra |

Faces | 60 squares, 24 pentagrams, 12 decagrams |

Edges | 30+120 |

Vertices | 60 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Gidhid–5/2–stip: 90° |

Gidhid–10/3–stiddip: 90° | |

Stip–4–stiddip: | |

Height | 1 |

Number of pieces | 134 |

Related polytopes | |

Army | Semi-uniform Iddip |

Regiment | Giddip |

Dual | Great dodecahemidodecacronic tegum |

Conjugate | Small dodecahemidodecahedral prism |

Abstract properties | |

Euler characteristic | –14 |

Topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great dodecahemidodecahedral prism** or **gidhiddip**, is a prismatic uniform polychoron that consists of 2 great dodecahemidodecahedra, 12 pentagrammic prisms, and 6 decagrammic prisms. Each vertex joins 1 great dodecahemidodecahedron, 2 pentagrammic prisms, and 2 decagrammic prisms. As the name suggests, it is a prism based on the great dodecahemidodecahedron.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#918).