# Great ditrigonary icosidodecahedral prism

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Great ditrigonary icosidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gidtiddip |

Coxeter diagram | (x x3/2o3o5*b) |

Elements | |

Cells | 20 triangular prisms, 12 pentagonal prisms, 2 great ditrigonary icosidodecahedra |

Faces | 40 triangles, 60 squares, 24 pentagons |

Edges | 20+120 |

Vertices | 40 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gidtid–3–trip: 90° |

Gidtid–5–pip: 90° | |

Trip–4–pip: | |

Height | 1 |

Central density | 6 |

Number of external pieces | 302 |

Related polytopes | |

Army | Semi-uniform Dope |

Regiment | Sidtiddip |

Dual | Great triambic icosahedral tegum |

Conjugate | Small ditrigonary icosidodecahedral prism |

Abstract & topological properties | |

Euler characteristic | –10 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great ditrigonary icosidodecahedral prism** or **gidtiddip**, is a prismatic uniform polychoron that consists of 2 great ditrigonary icosidodecahedra, 12 pentagonal prisms, and 20 triangular prisms. Each vertex joins 1 great ditrigonary icosidodecahedron, 3 pentagonal prisms, and 3 triangular prisms. As the name suggests, it is a prism based on the great ditrigonary icosidodecahedron.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#922).

- Klitzing, Richard. "gidtiddip".