# Great rhombidodecahedral prism

Jump to navigation
Jump to search

Great rhombidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Girdip |

Elements | |

Cells | 30 cubes, 12 decagrammic prisms, 2 great rhombidodecahedra |

Faces | 60+60+60 squares, 24 decagrams |

Edges | 60+120+120 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Gird–4–cube: 90° |

Gird–10/3–stiddip: 90° | |

Cube–4–stiddip #1: | |

Cube–4–stiddip #2: | |

Height | 1 |

Number of external pieces | 1036 |

Related polytopes | |

Army | Semi-uniform Tipe |

Regiment | Gaddiddip |

Dual | Great rhombidodecacronic tegum |

Conjugate | Small rhombidodecahedral prism |

Abstract & topological properties | |

Euler characteristic | –20 |

Orientable | No |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great rhombidodecahedral prism** or **girdip** is a prismatic uniform polychoron that consists of 2 great rhombidodecahedra, 30 cubes, and 12 decagrammic prisms. Each vertex joins 1 great rhombidodecahedron, 2 cubes, and 2 decagrammic prisms. As the name suggests, it is a prism based on the great rhombidodecahedron.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#940).