# Great ditrigonal dodecicosidodecahedral prism

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Great ditrigonal dodecicosidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gidditdiddip |

Coxeter diagram | x x5/3x3o5*b () |

Elements | |

Cells | 20 triangular prisms, 12 pentagonal prisms, 12 decagrammic prisms, 2 great ditrigonal dodecicosidodecahedra |

Faces | 40 triangles, 60+60 squares, 24 pentagons, 24 decagrams |

Edges | 60+120+120 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Trip–4–stiddip: |

Pip–4–stiddip: | |

Gidditdid–5–pip: 90° | |

Gidditdid–3–trip: 90° | |

Gidditdid–10/3–stiddip: 90° | |

Height | 1 |

Central density | 4 |

Number of external pieces | 154 |

Related polytopes | |

Army | Semi-uniform Tiddip |

Regiment | Gidditdiddip |

Dual | Great ditrigonal dodecacronic hexecontahedral tegum |

Conjugate | Small ditrigonal dodecicosidodecahedral prism |

Abstract & topological properties | |

Euler characteristic | –18 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **great ditrigonal dodecicosidodecahedral prism** or **gidditdiddip** is a prismatic uniform polychoron that consists of 2 great ditrigonal dodecicosidodecahedra, 12 pentagonal prisms, 20 triangular prisms, and 12 decagrammic prisms. Each vertex joins 1 great ditrigonal dodecicosidodecahedron, 1 pentagonal prism, 1 triangular prism, and 2 decagrammic prisms. As the name suggests, it is a prism based on the great ditrigonal dodecicosidodecahedron.

## Vertex coordinates[edit | edit source]

The vertices of a great ditrigonal dodecicosidodecahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#935).

- Klitzing, Richard. "gidditdiddip".