# Great dodecahedral prism

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Great dodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gaddip |

Coxeter diagram | x o5/2o5x () |

Elements | |

Cells | 12 pentagonal prisms, 2 great dodecahedra |

Faces | 30 squares, 24 pentagons |

Edges | 12+60 |

Vertices | 24 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gad–5–pip: 90° |

Pip–4–pip: | |

Height | 1 |

Central density | 3 |

Number of pieces | 62 |

Related polytopes | |

Army | Ipe |

Regiment | Ipe |

Dual | Small stellated dodecahedral tegum |

Conjugate | Small stellated dodecahedral prism |

Abstract properties | |

Euler characteristic | –8 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great dodecahedral prism** or **gaddip** is a prismatic uniform polychoron that consists of 2 great dodecahedra and 12 pentagonal prisms. Each vertex joins 1 great dodecahedron and 5 pentagonal prisms. As the name suggests, it is a prism based on the great dodecahedron.

## Gallery[edit | edit source]

Card with vertex figure, cell counts, and cross-sections

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#893).

- Klitzing, Richard. "gaddip".