# Truncated great dodecahedral prism

Truncated great dodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Tigiddip |

Coxeter diagram | x o5/2x5x () |

Elements | |

Cells | 12 pentagrammic prisms, 12 decagonal prisms, 2 truncated great dodecahedra |

Faces | 30+60 squares, 24 pentagrams, 24 decagons |

Edges | 60+60+120 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Stip–4–dip: |

Tigid–5/2–stip: 90° | |

Tigid–10–dip: 90° | |

Dip–4–dip: | |

Height | 1 |

Central density | 3 |

Number of external pieces | 74 |

Related polytopes | |

Army | Semi-uniform Tipe |

Regiment | Tigiddip |

Dual | Small stellapentakis dodecahedral tegum |

Conjugate | Quasitruncated small stellated dodecahedral prism |

Abstract & topological properties | |

Euler characteristic | –8 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

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

## Vertex coordinates[edit | edit source]

Coordinates for the vertices of a truncated great dodecahedral 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" (#903).

- Klitzing, Richard. "tigiddip".